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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?

Repetitiously

Can you express every recurring decimal as a fraction?

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

A Chance to Win?

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

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?

What do you notice about these families of recurring decimals?

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.

Fractions and Percentages Card Game

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

Fractions, Decimals and Percentages - Short Problems

A collection of short problems on fractions, decimals and percentages.

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, 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 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?

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• Fractions Decimals Percents Conversion Table

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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.

There are fraction videos, worked examples and practice fraction worksheets.

Our quizzes have been created using Google Forms.

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

Fun Quiz Facts

• This quiz was attempted 1,155 times in the last academic year.
• The average (mean) score was 13.4 out of 20 marks.
• Can you beat the mean score?

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Fractions, decimals and percents

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Word Problems of Converting Percent, Fractions, and Decimals

In this step-by-step guide, you will learn how to solve Word Problems related to Converting Between Percent, Fractions, and Decimals.

A step-by-step guide

To convert a percent to a fraction, divide the percent by 100 and add the percent sign (%). For example, 25% can be written as 25/100 or 1/4.

To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100. For example, 1/4 can be written as 25%.

To convert a decimal to a percent, multiply the decimal by 100 and add the percent sign (%). For example, 0.25 can be written as 25%.

To convert a percent to a decimal, divide the percent by 100. For example, 25% can be written as 0.25.

To convert a decimal to a fraction, you can use the following steps:

• Write the decimal as a fraction with a denominator of 1 followed by as many zeroes as the decimal has digits. For example, 0.25 would be written as 25/100.
• Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 can be written as 0.25

Word Problems of Converting Between Percent, Fractions, and Decimals – Examples 1

Bettie is helping her mother clean out the basement. She finds a bolt that is 3/5 of a foot in diameter. Write \(\frac{3}{5}\) of a foot as a decimal and percent. Solution: Divide 3 by 5 to write as a decimal. \(3÷5=0.6\) Multiply \(\frac{3}{5}\) by 100 to write it as a percent. \(\frac{3}{5}×100=\frac{3}{5}×\frac{100}{1}=\frac{300}{5}=60\) So, \(\frac{3}{5}\) is equal to 0.6 and \(60%\)

Word Problems of Converting Between Percent, Fractions, and Decimals – Examples 2

Carol is painting his bedroom. He uses 45% of a gallon. Write 45% of a gallon as a fraction. Solution: 45% is 45 parts out of 100. So, as a fraction, it is \(\frac{45}{100}\). Simplify \(\frac{45}{100}=\frac{45÷5}{100÷5}=\frac{9}{20}\). To write 45% as a decimal, divide 45 by 100. \(45÷100=0.45\).

by: Effortless Math Team about 1 year ago (category: Articles )

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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

Resource type: Worksheet/Activity

Last updated

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.

For more resources please see my shop: https://www.tes.com/teaching-resources/shop/d_roberts1

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spindleygiraffe

Easy to adapt to provide differentiation. Just right for my y5s

Empty reply does not make any sense for the end user

Great for my students especially those that are struggling.

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1: Whole Numbers, Fractions, Decimals, Percents and Problem Solving

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• Page ID 45726
• 1.1: Introduction to Decimal Calculations
• 1.2: Place Value in Decimals
• 1.3: Adding and Subtracting Decimals
• 1.4: Multiplying and Dividing Decimals
• 1.5: Convert Between Decimals and Fractions
• 1.6: Introduction to Percent Calculations
• 1.7: Solving Problems Using Ratios
• 1.8: Writing Fractions and Decimals as Percents
• 1.9: Solving Problems Using Percents
• 1.10: Percent Increase and Decrease
• 1.11: Why It Matters- Whole Numbers, Fractions, Decimals, Percents, and Problem Solving
• 1.12: Putting It Together- Whole Numbers, Fractions, Decimals, Percents, and Problem Solving
• 1.13: Assignment- Whole Numbers, Fractions, Decimals, Percents, and Problem Solving
• 1.14: Introduction to Whole Number Calculations
• 1.15: Place Value in Whole Numbers
• 1.16: Rounding Whole Numbers
• 1.17: Adding, Subtracting, Multiplying, and Dividing Whole Numbers
• 1.18: Introduction to Fraction Calculations
• 1.19: Convert Between Types of Fractions
• 1.20: Adding and Subtracting Fractions
• 1.21: Multiplying and Dividing Fractions

SSDD Problems

Same surface, different deep structure maths problems from craig barton @mrbartonmaths.

Fractions, Decimals, Percentages

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Unit 2: Get ready for fractions, decimals, & percentages

About this unit, adding and subtracting decimals word problems.

• Adding decimals word problem (Opens a modal)
• Adding & subtracting decimals word problem (Opens a modal)
• Adding & subtracting decimals word problems Get 3 of 4 questions to level up!

Percent problems

• Finding a percent (Opens a modal)
• Percent of a whole number (Opens a modal)
• Benchmark percents Get 5 of 7 questions to level up!
• Equivalent representations of percent problems Get 3 of 4 questions to level up!
• Finding percents Get 5 of 7 questions to level up!

Percent word problems

• Percent word problem: recycling cans (Opens a modal)
• Percent word problems Get 5 of 7 questions to level up!

Fractions, Decimals, Percentages and Ratio Sentence Stems

FREE DOWNLOAD

Help your school use consistent mathematical language for fractions, decimals, percentages and ratios.

• Sentence stems provide students with a way to communicate their ideas with mathematical precision and clarity.
• This progressive document provides sentence stems and key vocabulary for 1st to 6th grade for fractions, decimals, percentages and ratio.

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