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Fractions Decimals Percents Worksheets

Welcome to our Fractions Decimals Percents Worksheets page. Here you will find a wide range of printable Fraction Worksheets which will help your child understand and practice how to convert between fractions, decimals and percentages.

Looking to convert fractions to percentages or decimals; decimals to fractions or percentages; percentages to fractions or decimals?

Then look no further - we have what you need!

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Fractions Decimals Percents Online Quiz

Fractions decimals percents.

Below are some common conversions for fractions into decimals and percents.

Where a digit is underlined, it means that the number has been rounded to 3 decimal places, or to the nearest 0.1%.

We have split up our fractions decimals percents worksheets into several different sections to make it easier for you to choose the skill you want to practice.

• The first section is just converting fractions into decimals and percents.
• The second sections is about converting decimals to percents and fractions.
• The third section covers convertig percents to fractions and decimals.
• The last section involves converting between all three.

The sheets are carefully graded so that the supported and easier sheets come first, and the most difficult sheet is the last one.

Using these sheets will help your child to:

• convert between fractions decimals and percents.

These sheets are aimed at 5th, 6th and 7th graders.

Converting Fractions to Decimals and Percents

• Fractions to Decimals and Percents Sheet 1
• PDF version
• Fractions to Decimals and Percents Sheet 2

Fractions to Decimals and Percents Walkthrough Video

This short video walkthrough shows several problems from our Fractions to Decimals and Percents Worksheet 1 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, please check out the video below!

Converting Decimals to Percents and Fractions

• Decimals to Percents and Fractions Sheet 1
• Decimals to Percents and Fractions Sheet 2

Converting Percents to Decimals and Fraction s

• Percents to Decimals and Fractions Sheet 1
• Percents to Decimals and Fractions Sheet 2

Convert Between Fractions Decimals Percents Worksheets

• Fractions Decimals and Percents Sheet 1
• Fractions Decimals and Percents Sheet 2
• Fractions Decimals and Percents Sheet 3
• Fractions Decimals and Percents Sheet 4

Now is your chance to practice your fractions decimals and percents problem solving skills with some fun riddles!

• Fraction Decimal Percent Riddle 1
• Fraction Decimal Percent Riddle 2
• Fraction Decimal Percent Riddle 3

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Equivalent Fractions

The printable fraction page below contains support, examples and practice using equivalent fractions.

• Finding Equivalent Fractions support page
• Equivalent Fractions Worksheets

Comparing Fractions

We have some carefully graded worksheets on comparing and ordering fractions.

You can choose from supported sheets with diagrams for students who need extra help to harder worksheets for those more confident.

• Comparing Fractions Worksheet page

Simplifying Fractions

Take a look at our Simplifying Fractions Practice Zone or try our worksheets for finding the simplest form for a range of fractions.

You can choose from proper fractions, improper fractions or both.

You can print out your results or benchmark your scores against future achievements.

Good for practising equivalent fractions as well as converting to simplest form.

Great for using with a group of children as well as individually.

• Simplify Fractions Practice Zone
• Simplifying Fractions Worksheet page

Fraction Riddles

Riddles are a great way to get children to apply their knowledge of fractions.

These riddles are a good way to start off a maths lesson, or also to use as a way of checking your child's understanding about fractions.

All the fraction riddles consist of 3 or 4 clues and a selection of 6 or 8 possible answers. Children have to read the clues and work out which is the correct answer.

The riddles can also be used as a template for the children to write their own clues for a partner to guess.

• Fraction Riddles for kids (easier)
• Free Printable Fraction Riddles (harder)

Are you looking for free fraction help or fraction support?

Here you will find a range of fraction help on a variety of fraction topics, from simplest form to converting fractions.

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This quick quiz tests your knowledge and skill at converting between fractions, decimals and percents.

Fun Quiz Facts

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• Can you beat the mean score?

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Decimals, Fractions and Percentages

Decimals, Fractions and Percentages are just different ways of showing the same value:

Here, have a play with it yourself:

Example Values

Here is a table of commonly used values shown in Percent, Decimal and Fraction form:

Conversions!

From percent to decimal.

To convert from percent to decimal divide by 100 and remove the % sign.

An easy way to divide by 100 is to move the decimal point 2 places to the left :

Don't forget to remove the % sign!

From Decimal to Percent

To convert from decimal to percent multiply by 100%

An easy way to multiply by 100 is to move the decimal point 2 places to the right :

 Don't forget to add the % sign!

From Fraction to Decimal

To convert a fraction to a decimal divide the top number by the bottom number:

Example: Convert 2 5 to a decimal

Divide 2 by 5: 2 ÷ 5 = 0.4

Answer: 2 5 = 0.4

From Decimal to Fraction

To convert a decimal to a fraction needs a little more work.

Example: To convert 0.75 to a fraction

From fraction to percentage.

To convert a fraction to a percentage divide the top number by the bottom number, then multiply the result by 100%

Example: Convert 3 8 to a percentage

First divide 3 by 8: 3 ÷ 8 = 0.375

Then multiply by 100%: 0.375 × 100% = 37.5%

Answer: 3 8 = 37.5%

From Percentage to Fraction

To convert a percentage to a fraction , first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above).

Example: To convert 80% to a fraction

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Fractions, decimals and percents

Conversion practice.

These worksheets explore how fractions, decimals and percentages relate to each other as students convert between the various forms.

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Percents  - Converting Percentages, Decimals, and Fractions

Percents  -, converting percentages, decimals, and fractions, percents converting percentages, decimals, and fractions.

Percents: Converting Percentages, Decimals, and Fractions

Lesson 4: converting percentages, decimals, and fractions.

/en/percents/percentages-in-real-life/content/

Converting fractions, decimals, and percents

When we talk, we often use different words to express the same thing. For example, we could describe the same car as tiny or little or small . All of these words mean the car is not big. Fractions, decimals, and percents are like the words tiny , little , and small . They're all just different ways of expressing parts of a whole .

In this image, each measuring cup has the same amount of juice in it. But we've expressed this amount in three ways: as a fraction, as a percent, and as a decimal. Since they're expressing the same amount, we know that 1/2 , 50% , and 0.5 are equal to each other. Any time we see 1/2 , we'll know it can also mean 50% or 0.5 .

Sometimes it's useful to convert one kind of number into another. For example, it's much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.

Fractions and decimals

Every fraction can also be written as a decimal, and vice versa. You may not do this very often, but converting decimals and fractions can help you in math. For example, it's easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first.

Converting a fraction into a decimal

Let's convert a fraction into a decimal. We'll be using a math skill you've already learned: long division. To refresh your memory on this skill, you can review our Long Division lesson.

Click through the slideshow to learn how to convert a fraction into a decimal.

Let's see how we can convert 1/4 into a decimal.

To convert a fraction into a decimal, we'll just divide the numerator...

To convert a fraction to a decimal, we'll just divide the numerator...by the denominator.

In our example, we'll divide 1 by 4 .

1 divided by 4 equals 0 .

To keep dividing, we'll add a decimal point and a zero after the 1 .

We'll also add a decimal point after the 0 on top.

Now we can divide 10 by 4 .

10 divided by 4 equals 2 .

Now we'll multiply 4 by 2 .

4 times 2 equals 8 . So we'll subtract 8 from 10 .

10 minus 8 equals 2 .

Since 2 is greater than 0 , we're not finished dividing yet. We'll add another 0 after the decimal point and bring it down.

Now we'll divide 20 by 4 .

20 divided by 4 equals 5 .

Now we'll multiply. 4 times 5 equals 20 .

When we subtract 20 from 20 , we get 0 . The 0 means we're done dividing.

1 divided by 4 equals 0.25 .

So 1/4 is equal to 0.25 .

Convert each of these fractions into a decimal .

Converting a decimal into a fraction

Now we'll do it in reverse. Let's convert a decimal into a fraction.

Click through the slideshow to see how to convert a decimal into a fraction.

We're going to rewrite 0.85 as a fraction. To convert a decimal into a fraction, we'll use place values .

In decimals, the number immediately to the right of the decimal point is in the tenths place.

The place to the right of the tenths place is the hundredths place .

To convert a decimal, first we'll check the place value of the last number to the right.

In 0.85 , 5 is in the hundredths place.

This means our decimal is equal to 85 hundredths. 85 hundredths can also be written as 85/100 .

Now we have our fraction. But it's always a good idea to reduce fractions when we can—it makes them easier to read.

To reduce, we need to find the largest number that will go evenly into both 85 and 100 .

5 is the largest number that goes evenly into 85 and 100 . So we'll divide both parts of our fraction by 5 .

First we'll divide the numerator. 85 divided by 5 equals 17 .

Now we'll divide the denominator. 100 divided by 5 equals 20 . This means 85/100 can be reduced to 17/20 .

So 0.85 is equal to 17/20 .

Reducing a fraction may seem unnecessary when you're converting a decimal. But it's important if you're going to use the fraction in a math problem. If you're adding two fractions, you may even need to reduce or change both fractions so they have a common denominator .

Convert these decimals into fractions. Be sure to reduce each fraction to its simplest form!

Percents and decimals

Knowing how to convert percents and decimals will help you calculate things like sales tax and discounts. To learn how, check out our Percentages in Real Life lesson.

Converting a percent into a decimal

Converting a percent into a decimal is surprisingly easy. It only takes a few simple steps.

Click through the slideshow to learn how to convert a percent into a decimal.

We're going to convert 17% into a decimal.

First, we'll take the percent sign...

First, we'll take the percent sign...and turn it into a decimal point.

Next, we'll move the decimal point two spaces to the left .

Now we'll move the decimal point two spaces to the left .

We've converted our percent to a decimal. 17% is equal to 0.17 .

Let's look at another example. This time we'll turn 78% into a decimal.

First, we'll replace the percent sign with a decimal point .

Then we'll move the decimal point two spaces to the left .

78% is equal to 0.78 .

Let's look at another example. This time we'll turn 8% into a decimal.

Then, we'll move the decimal point two spaces to the left .

Notice there is an extra space next to the 8. We can't just leave an open space with nothing in it. Since zero equals nothing, we'll replace the space with zero .

8% is equal to .08

Why does this work?

Converting percents into decimals is so easy that you may feel like you've missed something. But don't worry—it really is that simple! Here's why the method we showed you works.

When we turn a percent into a decimal, we're actually doing two steps. First, we convert our percent into a fraction. Since all percents are out of 100 , we just put the percent over 100 , like this:

78% = 78/100

In the second step, we convert 78/100 into a decimal. You already know this means we'll divide the numerator by the denominator , like this:

78 ÷ 100 = 0.78

So why didn't we show you these steps in the slideshow? Because you can get the answer without them. You know that all percents are out of 100 , so you can skip making the percent into a fraction. You have to divide the percent by 100 to get a decimal, but there's a quick way to do that. Just move the decimal point two spaces to the left! This way, you can get the same answer with just one easy step.

Convert these percents into decimals.

Converting a decimal into a percent

Now we'll reverse what you just learned. Let's convert a decimal into a percent.

Click through the slideshow to see how to convert a decimal into a percent.

We're going to convert 0.45 into a percent.

We'll reverse what we did in the last section. This time, we'll move the decimal point two places to the right .

Now we'll replace the decimal point with a percent sign.

We've finished converting our decimal into a percent. 0.45 is equal to 45% .

Let's try another example. This time our decimal has three numbers to the right of the decimal point.

But we're still going to move the decimal point two spaces to the right.

We still have a number to the right of the decimal point. The number isn't a 0 , so we can't drop it.

Instead, we'll keep the decimal point and add a percent sign at the end of the number.

So 0.635 is equal to 63.5% .

Calculate these decimals as percents.

Percents and fractions

Knowing how to write percents as fractions and vice versa can help you in your everyday life. For example, let's say you earned a grade of 80% on a test. You can convert 80% into a fraction to find out how many of your answers were correct. When your teacher grades the test, she may do the opposite. If a student got 8 out of 10 questions right, the teacher can convert 8/10 to a percent to give the student a grade.

Converting a percent into a fraction

When you're converting a percent into a fraction, it helps to remember that percents are always out of 100 . You can practice with percents in our Introduction to Percentages lesson.

Click through the slideshow to learn how to convert a percent into a fraction.

We're going to convert 30% into a fraction.

In Introduction to Percents , you learned that all percents are out of 100 . In fact, that's what the word percent means.

So any percent is equal to itself over 100 . In our example, 30% is equal to 30/100 .

Now we've converted 30% into a fraction, but we still need to reduce it.

10 is the largest number that goes evenly into 30 and 100 . So we can divide both parts of the fraction by 10 .

We'll divide the numerator of the fraction first. 30 divided by 10 equals 3 .

Now we'll divide the denominator. 100 divided by 10 equals 10 .

So 30% is equal to 3/10 .

Write these percentages as fractions. Make sure to reduce each fraction to its simplest form.

Converting a fraction into a percent

Converting a fraction uses two of the skills you just learned: writing a fraction as a decimal , and writing a decimal as a percent . Let's see how we can use these skills to convert a fraction into a percent.

Click through the slideshow to learn how to convert a fraction into a percent.

Let's convert 3/6 into a percent.

Just like when we converted a fraction into a decimal, we'll divide the numerator by the denominator .

3 divided by 6 equals 0.5 .

We've turned our fraction into a decimal.

Now we'll turn the decimal into a percent by moving the decimal point two spaces to the right.

We'll also change the decimal point into a percent sign. 0.50 is equal to 50% .

So 3/6 is equal to 50% .

Convert these fractions into percents.

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Fractions, Decimals & Percentages

Matching Fractions, Decimals and Percentages

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

What do you notice about these families of recurring decimals?

Repetitiously

Can you express every recurring decimal as a fraction?

Peaches Today, Peaches Tomorrow...

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

Fractions and Percentages Card Game

Can you find the pairs that represent the same amount of money?

A Chance to Win?

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

Doughnut Percents

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

Terminating or Not

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

Decimals and Fractions

A decimal number system is used to express the whole number and fraction together. Here, we will separate the whole number from the fraction by inserting a ".", which is called a decimal point. And a fraction represents a value in the form of a/b. There is a close relationship between decimals and fractions. To convert any decimal number to a fraction, we ignore the decimal point and divide the number by the place value of the last digit in the fractional part of the number. Then we simplify the fraction so obtained. The decimals and fractions can be conveniently interchanged to each other.

The decimals and fractions vary in the format in which they are written. A decimal of 3.24 is written in the form of a fraction of 324/100. In this mini-lesson, we will explore the relationship between decimals and fractions, and understand how to convert a decimal to a fraction.

What are Decimals?

Decimals are a set of numbers written together with a dot in between them that is called a decimal point. The numbers to the left of the decimal point are the integers or whole numbers and the numbers to the right of the decimal point are called decimal numbers. It is very important to understand place value while dealing with comparing decimals, operations on decimals, etc. This is how the place value chart of a decimal number looks like.

In the case of decimals, for the whole number part, the place value system is the same as the whole number. But after the decimal point, there is a different world of numbers going on in which we use decimal fractions to represent the value. When we are going towards the left, each place is ten times greater than the previous place digit. So, to the right of one's place, we have tenths (1/10) and to the right of tenths, we have hundredths (1/100) and so on. Let us look at some examples for more clarity.

The second way is to read the whole number part followed by "and", then to read the fractional part in the same way as we read whole numbers but followed by the place value of the last digit. For example, we read 34.56 as thirty-four and fifty-six hundredths.

Visualizing Decimal Numbers

We can represent decimal numbers using Base-10 blocks (flats, rods, and blocks). A flat represents one whole unit, a rod one-tenth of the whole, and a block one-hundredth of the whole. So, if want to visualize the number 24.69, it means we have 24 whole units, that we can further represent in the form of 2 cubes and 4 flats; 6 rods (represents tenths) and 9 blocks (represents hundredths).

Another way of representing decimal numbers is on the abacus.

Every decimal number can be expressed in the form of a  fraction . There are two simple steps to convert a decimal to fraction. First ignore the decimal and write the entire number with power of 10 based on the number of decimal places. For a decimal number 0.35, write it as 35/100 Further reduce the fraction in its simplest form 35/100 = 7/20. A recurring decimal can also be written as a fraction. A decimal 0.333 can be written as 1/3. Practically many of the decimal numbers can be easily transformed into a fraction. Let us look at one more example for deeper understanding.

Similarly, we can convert a fraction to its decimal form by the two following methods. There are two methods to convert a fraction into a decimal. The first method is through long division and another method is through multiply the numerator and denominator of the fraction to obtain  multiples of 10 like 10, 100, 1000, etc.

Decimals and Percentages

Like fractions, every decimal number can be expressed in the form of a  percentage . There is a need to convert decimals to percentages when we compare two or more numbers. For example, who scored better if Sandra got 20.5 out of 40 and Kim got 22.25 out of 45 marks? The process to convert a decimal to a percentage, is through two simple steps. First, multiply the given decimal number with hundred and this moves the decimal by two places towards the right. Further, attach a percentage symbol(%).

For example, 0.67 = 0.67 x 100% = 67% 

Similarly, we can convert a percentage to a decimal. First, divide the given percentage number with 100 and remove the decimal symbol. Further simplify the fraction with the 100 in the denominator, to a decimal.

Decimals in Everyday Life

There is a great significance of decimals in everyday life while calculating exact values of money, weight, temperature, length, distance, etc. With the help of decimals, we can represent a part of a unit. Also, very small numeric values can be expressed as a decimal. Examples of a decimal are 0.33387, 0.4897, 0.3398, 0.00001, 0.4597,..... Also, we can say that for counting we need whole numbers but for measuring we need decimals.

Further, we need decimals to be more precise in our calculations in everyday life. For example, Can you fit a table of size 80.3 inches in the given space of 80 inches? The answer for this would be a clear NO. Casually, we say that  \(80.3\) is approximately equal to  \(80\) . But, here, we need to consider the exact measurement in terms of decimal, i.e., 80.3 inches.

Solved Examples on Decimals and Fractions

Example 1: Jim bought 100 apples from a nearby fruit vendor but later found out that 5 of them were rotten. Can you tell the fraction as well as decimals of the rotten apples to the total apples bought by Jim?

Here, we have 5 rotten apples out of 100 apples. So the fraction of rotten oranges is 5/100. Now this fraction has to be converted into a decimal. For this, we need to divide the numerator 5 with the denominator 100. Hence the fraction 5/100 can be changed to a decimal by taking two decimal places. And the decimal answer is 0.05. Therefore in terms of decimals, the rotten apples are 0.05.

Example 2 : In a class of 80 students, 48 students prefer to take ice cream for a snack and the remaining students prefer to take a soft drink. Find the percentage of students who prefer a soft drink, and also provide the answer in decimals.

The total number of students in a class are 80, and the number of students who like ice cream is 48, and the number of students who like soft drink is 80 - 48 = 32. The fraction of the students who like soft drinks is 32/80. This fraction on simplification is equal to 2/5. Let us convert this fraction into a percentage and also into a decimal. To convert the fraction into decimal we need to divide 2 with the number 5, and the answer is 0.4. Further to convert 0.4 into percentage we need to multiply it by 100, and it is 0.4 x 100% = 40%. Therefore the percentage of students who like soft drink is 40% and the same answer in decimals is 0.4.

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Practice Questions on Decimals and Fractions

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FAQs on Decimals and Fractions

How to read decimals.

Read the whole number part followed by "and", then read the fractional part in the same way as we read whole numbers but followed by the place value of the last digit. The decimal number is always read as individual digits. As an example, we would read a decimal number of 145.367 as one hundred and forty-five point three six seven.

Are Decimals Integers?

Every Integer can be represented in the form of Decimals, for example, 12.00. But decimals are not integers as integers are not in the form of p/q. By default, an integer can be considered as a decimal. For performing arithmetic operations involving integers and decimals, the integers are to be converted as fractions. For the addition of 4 to 3.36, we convert the 4 as 4.00.

How to Turn Decimals Into Fractions?

To convert a decimal to a fraction, we follow three basic steps mentioned below:

• Rewrite the number by ignoring the decimal point.
• Divide the number by the place value of the last digit in the fractional part of the number.
• Simplify the fraction.

How to Round Decimals?

To round a decimal number look at the next digit to the right side of the place upto which we want to round off. If the digit is less than 5, round down to the previous number and if the digit is 5 or more than 5, round up to the next higher number. The decimal 3.284 can be rounded to 3.28, and a decimal of 4.68 is rounder

What Are Repeating and Non-Repeating Decimals?

Repeating Decimals are those in which one or more digits repeat again and again, for example 1/3 = 0.3333333, while non-repeating decimals are those that end after a specific number of digits, for example, 1/2= 0.5. Another example of nonrounding decimal is 22/7 = 3.142857

What Is the Relation Between Decimal and Percentage?

Every Decimal number can be expressed in the form of a percentage. We need to convert decimals to percentages when we compare two or more numbers. Both decimals and percentages are just two ways to represent a number. A decimal number can be multiplied by 100 and a percentage symbol(%) can be placed to obtain the percentage value. Also, a percentage can be divided by 100, and a percentage symbol be removed to obtain a decimal value.

What is 1/4 in Decimals?

Let us see how to represent 1/4 in decimals. Here multiply the numerator and the denominator with a 25, to obtain a 100 in the denominator. Further, we need to convert this fraction with a denominator of 100, as a decimal.

1/4 x 25/25 = 25/100 = 0.25

PROBLEM SOLVING WITH FRACTIONS DECIMALS AND PERCENTAGES WORKSHEET

Problems with fractions.

(1)  A fruit merchant bought mangoes in bulk. He sold 5/8  of the mangoes. 1/16 of the mangoes were spoiled. 300 mangoes remained with him. How many mangoes did he buy? 

(2)  A family requires 2 1/2 liters of milk per day. How much milk would family require in a month of 31 days?  

(3)  A ream of paper weighs 12 1/2 kg.  What is the weight per quire ?

(4)   It was Richard's birthday. He distributed 6 kg of candies to his friends. If he had given 1/8  kg of candies to each friend, how many friends were there ?

(5)  Rachel bought a pizza and ate 2/5 of it. If he had given 2/3 of the remaining to his friend, what fraction of the original pizza will be remaining now ?

Answer Key :

(1)  960 mangoes

(2)   77 1/2 liter

(3)  5/8 kg

(4)   48 friends

(5)  1/5

Fraction Word Problems Mixed Operations

(1)  Linda walked 2 1/3 miles on the first day and 3 2/5   miles on the next day. How many miles did she walk in all ?                Solution

(2)   David ate 2 1/7 pizzas and he gave 1 3/14    pizzas to his mother. How many pizzas did David have initially ?

(3)   Mr. A has 3 2/3 acres of land. He gave 1 1/4 acres of land to his friend. How many acres of land does Mr. A have now ?          Solution

(4)   Lily added 3 1/3 cups of walnuts to a batch of trail mix. Later she added 1 1/3 cups of almonds. How many cups of nuts did Lily put in the trail mix in all? 

(5)   In the first hockey games of the year, Rodayo played 1 1/2 periods and 1 3/4 periods. How many periods in all did he play ?         Solution

(6)   A bag can hold 1 1/2 pounds of flour. If Mimi has 7 1/2 pounds of flour, then how many bags of flour can Mimi make ?        Solution

(7)   Jack and John went fishing Jack caught 3 3/4 kg of fish and while John  caught 2 1/5 kg of fish. What is the total weight of the fish they caught?

(8)   Amy has 3 1/2 bottles in her refrigerator. She used 3/5 bottle in the morning 1 1/4 bottle in the afternoon. How many bottles of milk does Amy have left over ?  

(9)   A tank has 82 3/4 liters of water. 24 4/5 liters of water were used and the tank was filled with another 18 3/4 liters. What is the final volume of the water in the tank ?

(10)   A trader prepared 21 1/2 liters of lemonade. At the end of the day he had 2 5/8 liters left over. How many liters of lemonade was sold by the Trader? 

Answer key :

Problems on Decimals

(1)  A chemist mixed 6.35 grams of one compound with 2.45 grams of another compound. How many grams were there in the mixture.      Solution

(2)   If the cost of a pen is $10.50, a book is $25.75 and a bag is $45.50, the  find the total cost of 2 books, 3 pens and 1 bag.         Solution

(3)    John wants to buy a bicycle that cost $ 450.75. He has saved $ 125.35. How much more money must John save in order to have enough money to buy the bicycle ?

(4)   Jennifer bought 6.5 kg of sugar. she used 3750 grams. How many kilograms of sugar were left ?

(5)   The inner radius of a pipe is 12.625 mm and the outer radius is 18.025 mm. Find the thickness of the pipe.          Solution

(6)   A copy of English book weighs 0.45 kg. What is the weight of 20 copies ?          Solution

(7)   Find the weight of 25.5 meters of copper wire in kilograms, if one meter weighs 10 grams.          Solution

(8)   Robert paid $140 for 2.8 kg of cooking oil. How much did 1 kg of the cooking oil cost ?         Solution

(9)   If $20.70 is earned in 6 hours, how much money will be earned in 5 hours ?            Solution

(10)   A pipe is 76.8 meters long. What will the greatest number of pieces of pipe each 8 meters long that can be cut from this pipe ?          Solution

Answers Key :

Problems on Percentage

(1)  In a particular store the number of TV's sold the week of Black Friday was 685. The number of TVs sold the following week was 500. TV sales the week following Black Friday were what percent less than TV sales the week of Black Friday ?

(A)  17%   (B)  27%   (C)  37%   (D)  47%

(2)  In March, a city zoo attracted 32000 visitors to its polar bear exhibit. In April, the number of visitors to the exhibit increased by 15%. How many visitors did the zoo attract to its polar bear exhibit in April ?

(A)  32150   (B)  32480   (C)  35200  (D)  36800

(3)  A charity organization collected 2140 donations last month. With the help of 50 additional volunteers, the organization collected 2690 donations this month. To the nearest tenth of a percent, what was the percent increase in the number of donations the charity organization collected ?

(A) 20.4%   (B)  20.7%    (C)  25.4%   (D)  25.7%

(4)  The discount price of a book is 20% less than the retail price. James manages to purchase the book at 30% off the discount price at the special book sale. What percent of the retail price did James pay ?

(A)  42%   (B)  48%    (C)  50%   (D)  56%

(5)  Each day, Robert eats 40% of the pistachios left in his jar at the time. At the end of the second day, 27 pistachios remain. How many pistachios were in the jar at the start of the first day ?

(A)  75   (B)  80   (C)  85  (D)  95

(6) Joanne bought a doll at a 10 percent discount off the original price of $105.82. However, she had to pay a sales tax of x% on the discounted price. If the total amount she paid for the doll was $100, what is the value of x ?

(A)  2   (B)  3   (C)  4  (D)  5

(7)  In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses were built in Town A during 2010, how many were built in Town B ?

(A)  56   (B)  50    (C)  48   (D)  20

(8)  Over two week span, John ate 20 pounds of chicken wings and 15 pounds of hot dogs. Kyle ate 20 percent more chicken wings and 40 percent more hot dogs. Considering only chicken wings and hot dogs, Kyle ate approximately x percent more food, by weight, than John, what is x (rounded to the nearest percent) ?

(A)  25   (B)  27    (C)  29   (D)  30

(9) Due to deforestation, researchers, expect the deer population to decline by 6 percent every year. If the current deer population is 12000, what is the approximate expected population size in 10 years from now ?

(A)  25000   (B)  48000    (C)  56000   (D)  30000

(10)  In 2000 the price of a house was $72600. By 2010 the price of the house has increased to 125598.

(A)  70%    (B)  62%    (C)  73%    (D)  90%

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Problem solving with fractions, decimals and percentages (Y5/6)

Subject: Mathematics

Age range: 7-11

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21 May 2018

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Four problems which require children to problem solve with percentages, decimals and fractions. This is aimed at Y5/6 children and the sheet can be easily adapted for differentiation if needed.

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HESI A2 Math Course

Introduction.

• Free HESI A2 Math Diagnostic Test (50 Questions)
• Place Value Practice Quiz (20 Questions)
• Positive and Negative Numbers Practice Quiz (20 Questions)
• Translating Word Problems into Mathematical Expressions Practice Quiz (20 Questions)
• Rounding Practice Quiz (20 Questions)
• Order of Operations Practice Quiz (20 Questions)
• Adding and Subtracting Whole Numbers Practice Quiz (20 Questions)
• Multiplying & Dividing Whole Numbers Practice Quiz (20 Questions)
• Solving Word Problems with Whole Numbers Practice Quiz (20 Questions)
• Adding and Subtracting Decimals Practice Quiz (20 Questions)
• Multiplying & Dividing Decimals Practice Quiz (20 Questions)
• Solving Word Problems with Decimals Practice Quiz (20 Questions)
• Simplifying Fractions Practice Quiz (20 Questions)
• Expanding Fractions Practice Quiz (20 Questions)
• Converting Between Mixed Numbers & Improper Fractions Practice Quiz (20 Questions)
• Adding and Subtracting Fractions Practice Quiz (20 Questions)
• Adding and Subtracting Mixed Numbers Practice Quiz (20 Questions)
• Adding & Subtracting Fractions & Mixed Numbers: Word Problems Practice Quiz (20 Questions)
• Multiplying Fractions & Mixed Numbers Practice Quiz (20 Questions)
• Dividing Fractions & Mixed Numbers Practice Quiz (20 Questions)
• Multiplying & Dividing Fractions and Mixed Numbers: Word Problems Practice Quiz (20 Questions)
• Solving Word Problems with Fraction & Mixed Numbers Practice Quiz (20 Questions)
• Converting Decimals to Fractions Practice Quiz (20 Questions)
• Converting Fractions to Decimals Practice Quiz (20 Questions)
• Converting Mixed Numbers to Decimals Practice Quiz (20 Questions)
• Ratios & Proportions: Finding the Missing Value Practice Quiz (20 Questions)
• Unit Rates Practice Quiz (20 Questions)
• Ratios, Rates, & Proportions: Word Problems Practice Quiz (20 Questions)
• Converting Decimals to Percents Practice Quiz (20 Questions)
• Finding Percent of a Whole Practice Quiz (20 Questions)
• Finding the Whole, Given the Percent Practice Quiz (20 Questions)
• Finding Percentage Practice Quiz (20 Questions)
• Solving Word Problems with Percents Practice Quiz (20 Questions)
• Metric Conversions Practice Quiz (20 Questions)
• Standard Conversions: Distance Practice Quiz (20 Questions)
• Standard Conversions: Liquid Practice Quiz (20 Questions)
• Standard Conversions: Weight/Mass Practice Quiz (20 Questions)
• Metric & Standard Conversions: Distance Practice Quiz (20 Questions)
• Metric & Standard Conversions: Liquid Practice Quiz (20 Questions)
• Metric & Standard Conversions: Weight/Mass Practice Quiz (20 Questions)
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Converting Decimals to Fractions Lesson

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Algebra basics

Course: algebra basics   >   unit 1.

• The meaning of percent
• Meaning of 109%
• Intro to percents
• Percents from fraction models
• Fraction, decimal, and percent from visual model

Relate fractions, decimals, and percents

• Worked example: Converting a fraction (7/8) to a decimal
• Fraction to decimal with rounding
• Converting fractions to decimals
• Rewriting decimals as fractions: 0.36
• Converting decimals to fractions 2 (ex 1)
• Write decimals as fractions
• Finding a percent
• Percent of a whole number
• Finding percents
• Percent word problem: guavas
• Percent word problem: recycling cans
• Percent word problems

• Your answer should be
• a proper fraction, like 1 / 2 ‍   or 6 / 10 ‍  
• an improper fraction, like 10 / 7 ‍   or 14 / 8 ‍  
• an exact decimal, like 0.75 ‍  
• an integer, like 6 ‍  
• a simplified proper fraction, like 3 / 5 ‍  
• a simplified improper fraction, like 7 / 4 ‍  
• a mixed number, like 1   3 / 4 ‍  
• a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍