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  • Fractions - converting

Equivalent fractions

Fractions Workbook for Grades 4-5

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Math worksheets: Finding equivalent fractions

Below are six versions of our grade 5 math worksheet on equivalent fractions. Students must write in the missing numerator or denominator to make the fractions in each problem equal.  These fractions worksheets are pdf files .

equivalent fractions year 5 problem solving

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More fractions worksheets

Explore all of our fractions worksheets , from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers.

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Equivalent Fractions Worksheet

Welcome to our Equivalent Fractions Worksheets page.

On this page we have a wide range of support sheets and practice sheets to help you to fully understand the concept of equivalent fractions.

Our worksheets are carefully graded so you can pitch the work at just the right level.

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Here are the instructions how to enable JavaScript in your web browser .

Here you will find a selection of Fraction worksheets designed to help your child practice their equivalent fractions.

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

We have split the sheets into two sections with the first section looking at visual fractions of circles.

The sheets in the second sections start off visual and become more abstract and tricky!

Using these sheets will help your child to:

  • develop an understanding of equivalent fractions;
  • know when two fractions are equivalent;
  • find a fraction that is equivalent to another.

Want to test yourself to see how well you have understood this skill?.

  • Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

  • How to Find Equivalent Fractions Support

Equivalent Fractions Worksheets

  • More related resources
  • Equivalent Fractions Online Quiz

How to Find Equivalent Fractions

Here you will find the support page on how to find equivalent fractions if you get stuck or want some support.

  • Finding Equivalent Fractions support page

Equivalent Fractions Worksheet with circles- Section 1

These sheets are all about using circles to create visual fractions to aid understanding of equivalence.

  • Equivalent Fraction Worksheets with circles 1
  • PDF version
  • Equivalent Fraction Worksheets with circles 2
  • Equivalent Fraction Worksheets with circles 3
  • Equivalent Fraction Worksheets with circles 4

Equivalent Fractions Worksheet - Section 2

These sheets start off in a visual way and gradually become more abstract and trickier.

  • Equivalent Fraction Wall Worksheet
  • Equivalent Fractions Worksheets 1 Number Lines
  • Equivalent Fraction Worksheets 2 Fraction Strips
  • Equivalent Fraction Worksheets 3
  • Equivalent Fraction Worksheets 4
  • Equivalent Fraction Worksheets 5

Equivalent Fractions Walkthrough Video

This short video walkthrough shows the problems from our Equivalent Worksheet 2 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, check out the video!

More Recommended Math Worksheets

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

  • Equivalent Fraction Strips

Using Equivalent Fraction Strips is a great way to learn your Fraction facts and help you to understand exactly how much fractions are worth in a visual way.

Using these fraction strips will help your child to:

  • understand Fraction as lengths;
  • understand equivalent fractions;
  • understand visually how much each fraction is worth.

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.

  • Simplify Fractions Practice Zone
  • Simplifying Fractions Worksheet page

Comparing Fractions

Once you are confident at equivalent fractions, you can learn how to compare fractions by converting them to a common denominator.

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

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.

Improper Fractions

We have a support page to help students understand how what improper fractions are and how to conver them.

We also have a wide range of Improper Fraction Worksheets, some of which use visual fractions to aid understanding and some sheets which are more abstract.

Convert Improper Fractions Image

  • How to Convert Improper Fractions
  • Improper Fraction Worksheets
  • Fractions Decimals Percents Worksheets

Looking to convert between fractions, decimals and percentages?

We have a wide range of worksheets to meet your needs!

  • Math Fraction Games

Here is our collection of Math games involving fractions.

These games are suitable for kids aged from 3rd grade and upwards.

Playing games is a great way to learn fraction skills in a fun way.

Fraction equivalence, fraction to decimal conversion and properties of fractions are all explored in our fun games to play.

Equivalent Fractions Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

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This quick quiz tests your knowledge and skill at finding and using equivalent fractions.

Fun Quiz Facts

  • This quiz was taken 1,645 times last academic year. The average (mean) score was 9.9 out of 14 marks.
  • Can you beat the mean mark?

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equivalent fractions year 5 problem solving

Your child will also order fractions whose denominators are all multiples of the same number. For example:

Put the fractions   ,   ,   ,   , and     in order from least to greatest.   ,  ,  ,  ,  .

Identify equivalent fractions

1/3

Use mixed numbers and improper fractions

Your child will recognise mixed numbers and improper fractions , and will be able to convert one to the other.

1/2

Add and subtract fractions with denominators that are multiples of the same number

Your child will use drawings, diagrams, and symbols to add and subtract fractions with the same denominator, and denominators that are multiples of the same number. For example:

  +     =   .     +     =     =   .

Multiply proper fractions and mixed numbers by whole numbers

Children will use objects and diagrams to:

1/4

Read and write decimal numbers as fractions

Your child will be able to understand the equivalence between decimals and fractions. For example:

Use tenths, hundredth, thousandths, and their decimal equivalents

1/100

They will be able to mentally add and subtract tenths, as well as mixed numbers that have one-digit whole numbers and tenths.

Round numbers to one decimal place

Your child will round numbers with two decimal places up or down to the nearest whole number. For example, 3.45 will round down to 3.

They will also round numbers with two decimal places up or down to one decimal place. For example, 2.67 will round up to 2.7.

Compare numbers with three decimal places

Your child will learn to read, write, order and compare decimal numbers with up to three decimal places.

For example, they will be able to:

  • read and write numbers with three decimal places (for example, 1.454, 1.764, 1.654, 1.453)
  • put them in order (for example, 1.453, 1.454, 1.654, 1.764)
  • compare them (for example, 1.453 < 3.454).

Solve problems involving numbers with three decimal places

Understand and use percentages.

Your child will know that percentages, decimals, and fractions are different ways of expressing proportions.

They will make connections between percentages, fractions, and decimals. For example:

100% = 1   1% =    = 0·01   50% =    = 0·5   25% =    = 0·25

Your child will also recognise the percent symbol (%) and understand that ‘percent’ means ‘number of parts per hundred’. They will be able to write percentages as a fraction with denominator 100, and as a decimal fraction.

Compare percentages to fractions and decimals

large frac{1}{2}

How to help at home

There are lots of ways you can help your child to understand fractions. Here are just a few ideas.

1. Explore mixed numbers and improper fractions

Mixed numbers and improper fractions can be difficult for your child to grasp at first.

It often helps children to learn about these types of fractions visually. Diagrams can help their understanding:

equivalent fractions year 5 problem solving

Fraction Calculations in School

Pizza fractions

Ask your child to gather a number of pizza slices to make an improper fraction. Can they use these slices to show a mixed fraction? Can your child write down a mathematical way to reach the same answer?

2. Add and subtract fractions

Adding fractions.

In Year 5, your child will continue to add and subtract fractions. They will now be expected to add and subtract fractions whose denominators are multiples of the same number. For example:

 +   = ? First they will need to find the lowest common denominator (i.e. the smallest multiple of the two numbers). The lowest common denominator here is 8, because it is the smallest number both 4 and 8 will divide into equally. Your child will then have to multiply the numerator and the denominator by 2 to represent   in eighths: Your child will now be able to add the fractions:    +   =   –   = 

Subtracting fractions

Your child will follow a similar process to subtract fractions like these. For example:

  –    = ?   Your child will first need to find the   lowest common denominator , which is 12. So,     will become     as the numerator and the denominator will each be multiplied by 4. The     will become     as the numerator and the denominator will each be multiplied by 3. Your child will then be able to subtract     from     to leave   .    –   =   –   =   

More practice

You could practise calculating with fractions using the pizza cutouts in the Fraction Calculations in School booklet.

2/3

3. Multiply fractions by whole numbers

Your child will learn to multiply proper fractions and mixed numbers by whole numbers.

equivalent fractions year 5 problem solving

4. Investigate decimals

Show your child a number with 3 decimal places and ask them to tell you how many tenths, hundredths, or thousandths it has. For example, the number 4·203 has two tenths, zero hundredths, and three thousandths.

Place value charts can help your child to better understand decimal numbers:

equivalent fractions year 5 problem solving

Look for examples of these numbers in the real world and point them out to your child.

For example, when filling the car with petrol, ask your child to tell you what the number is by explaining how many tenths, hundredths, or thousandths it has. You could also ask them to round the total price or the total amount of petrol up or down to the nearest whole number, tenth, or hundredth. For instance, if you used 56.784 litres of petrol, you could ask your child to round this to the nearest litre (57L), tenth (56.8L), or hundredth (56.78L).

5. Investigate percentages

In Year 5, your child will be introduced to percentages. Talk about how ‘percent’ means ‘number of parts per hundred’.

55/100

Sales at the shops can provide great real-life opportunities to work with percentages. For example, you could ask your child to help you work out the sale price of an item. If there is 30% off a T-shirt and the full price is £9.99, what is 30% of the full price and what is the sale price?

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Year 5 Equivalent Fractions Maths Challenge

This resource is available for free. For thousands more resources like this, sign up for a free 14 day trial !

Play this Year 5 Equivalent Fractions Maths Challenge and put your knowledge of equivalent fractions to the ultimate test! Can you help Mason and Sally find a path to escape the maze? How long will it take you to solve the problem?

This Year 5 Equivalent Fractions Maths Challenge checks your child’s understanding of equivalent fractions while also developing their problem solving skills. Children will apply their knowledge of equivalent fractions to help two characters find the route out of a maze.

If you would like to access additional resources which link to this maths challenge, you can purchase a subscription for only £5.31 per month on our sister site, Classroom Secrets .

Teacher Specific Information

This Year 5 Equivalent Fractions Maths Challenge checks pupils’ understanding of equivalent fractions while also aiming to develop their problem solving skills. Pupils will apply their knowledge of equivalent fractions to help two characters find the route out of a maze.

National Curriculum Objectives

Fractions (including decimals and percentage) (5F2b) Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

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equivalent fractions year 5 problem solving

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Fractions KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

equivalent fractions year 5 problem solving

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

equivalent fractions year 5 problem solving

Fraction Match

A task which depends on members of the group noticing the needs of others and responding.

equivalent fractions year 5 problem solving

Bryony's Triangle

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

equivalent fractions year 5 problem solving

A4 Fraction Subtraction

This task offers opportunities to subtract fractions using A4 paper.

equivalent fractions year 5 problem solving

Matching Fractions

Can you find different ways of showing the same fraction? Try this matching game and see.

equivalent fractions year 5 problem solving

Round the Dice Decimals 2

What happens when you round these numbers to the nearest whole number?

equivalent fractions year 5 problem solving

Fractional Wall

Using the picture of the fraction wall, can you find equivalent fractions?

equivalent fractions year 5 problem solving

Would You Rather?

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

equivalent fractions year 5 problem solving

Round the Dice Decimals 1

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

equivalent fractions year 5 problem solving

Tumbling Down

Watch this animation. What do you see? Can you explain why this happens?

equivalent fractions year 5 problem solving

Linked Chains

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

equivalent fractions year 5 problem solving

Fractional Triangles

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

equivalent fractions year 5 problem solving

A4 Fraction Addition

Try adding fractions using A4 paper.

Forgot the Numbers

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

equivalent fractions year 5 problem solving

Andy's Marbles

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

equivalent fractions year 5 problem solving

More Fraction Bars

What fraction of the black bar are the other bars? Have a go at this challenging task!

equivalent fractions year 5 problem solving

Fractions in a Box

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

equivalent fractions year 5 problem solving

Extending Fraction Bars

Can you compare these bars with each other and express their lengths as fractions of the black bar?

equivalent fractions year 5 problem solving

Route Product

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

equivalent fractions year 5 problem solving

Fraction Lengths

Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?

equivalent fractions year 5 problem solving

Light Blue - Dark Blue

Investigate the successive areas of light blue in these diagrams.

equivalent fractions year 5 problem solving

Matching Fractions, Decimals and Percentages

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

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

equivalent fractions year 5 problem solving

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.

equivalent fractions year 5 problem solving

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Equivalent Fraction Word Problems

Equivalent Fraction Word Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

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Last updated

23 November 2017

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Year 5 - Number

Standard 5.NS.1.4 - Find the equivalent fraction.

Included Skills:

Number - fractions (including decimals and percentages) • Pupils should be taught to: - compare and order fractions whose denominators are all multiples of the same number - identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths - recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5] - add and subtract fractions with the same denominator and denominators that are multiples of the same number - multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams - read and write decimal numbers as fractions [for example, 0.71 = 10071] - recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents - round decimals with two decimal places to the nearest whole number and to one decimal place - read, write, order and compare numbers with up to three decimal places - solve problems involving number up to three decimal places - recognise the per cent symbol (%) and understand that per cent relates to 'number of parts per hundred', and write percentages as a fraction with denominator 100, and as a decimal - solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25.

If you notice any problems, please let us know .

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Equivalent Fractions Textbook Exercise

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IMAGES

  1. Fractions: reasoning and problem solving

    equivalent fractions year 5 problem solving

  2. Find Fractions Equivalent to a Non-Unit Fraction

    equivalent fractions year 5 problem solving

  3. IXL

    equivalent fractions year 5 problem solving

  4. Fractions Problem Solving

    equivalent fractions year 5 problem solving

  5. Recognise equivalent fractions

    equivalent fractions year 5 problem solving

  6. Year 5 Fractions: Identify and Find Equivalent Fractions

    equivalent fractions year 5 problem solving

VIDEO

  1. Addition of Fraction

  2. EQUIVALENT FRACTIONS

  3. 06 Problem Solving Equivalent Fractions 2

  4. 05 Problem Solving Equivalent Fractions 1

  5. Equivalent Fractions 3rd Grade

  6. Introduction to equivalent fractions (tenths and hundredths)

COMMENTS

  1. PDF Year 5 Equivalent Fractions Reasoning and Problem Solving

    Year 5 Equivalent Fractions Reasoning and Problem Solving Reasoning and Problem Solving Step 1: Equivalent Fractions National Curriculum Objectives: Mathematics Year 5: (5F2b) Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths Differentiation:

  2. Grade 5 Fractions Worksheets: Equivalent fractions

    Below are six versions of our grade 5 math worksheet on equivalent fractions. Students must write in the missing numerator or denominator to make the fractions in each problem equal. These fractions worksheets are pdf files. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4 Worksheet #5 Worksheet #6 5 More Similar:

  3. Equivalent Fractions Challenge

    Age range: 7-11 Resource type: Worksheet/Activity File previews pdf, 365.44 KB docx, 35.24 KB A selection of questions to practise converting between equivalent fractions that include opportunities for some problem solving, the use of a variety of mathematical terminology and some deeper thinking about the topic. Creative Commons "Sharealike"

  4. Year 5 Diving into Mastery: Equivalent Fractions Teaching Pack

    Year 5 Diving into Mastery: Step 3 Recognise Equivalent Fractions Teaching Pack 7 reviews White Rose Maths | Supporting Resources Year 5 Autumn Block 4 A: Fractions How to teach year 5 to identify equivalent fractions?

  5. Equivalent Fractions Worksheet

    Here you will find our selections of Equivalent Fractions Worksheet which will help your child learn to spot and understand when two fractions are equivalent. ... If you would like some support in solving the problems on these sheets, check out the video! ... This quiz was taken 1,645 times last academic year. The average (mean) score was 9.9 ...

  6. Equivalent Fractions Year 5 Fractions Free Resource Pack

    Equivalent Fractions Year 5 Reasoning and Problem Solving with answers. National Curriculum Objectives Mathematics Year 5: (5F2b) Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths Differentiation: Varied Fluency

  7. PDF Year 5 Equivalent Fractions Reasoning and Problem Solving

    Reasoning and Problem Solving Step 1: Equivalent Fractions National Curriculum Objectives: Mathematics Year 5: (5F2b) Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths Differentiation:

  8. Free Year 5 Equivalent Fractions Lesson

    This Year 5 Equivalent Fractions lesson covers the prior learning of finding equivalent fractions where the denominators are multiples, before moving onto the main skill of finding equivalent fractions. ... powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving ...

  9. Y5 DiM: Step 1: Equivalent Fractions to Unit Fraction Pack

    👉 Y5 DiM: Step 1: Equivalent Fractions to Unit Fraction Pack > Autumn Block 4 A: Fractions Spring Block 2 B: Fractions White Rose Maths | Supporting Resources Fractions and Decimals Fractions Downloads Year 5 Diving into Mastery: Step 1 Find Fractions Equivalent to a Unit Fraction Teaching Pack 2 reviews

  10. Fractions in Year 5 (age 9-10)

    In Year 5, your child will solve addition and subtraction problems involving numbers with up to 3 decimal places. These problems will include a mix of whole numbers and decimals, numbers with different numbers of decimal places, and complements of 1. Complements of 1 are numbers that add up to 1 (for example, 0.83 + 0.17 = 1).

  11. Y5: Step 15 Equivalent Fractions, Decimals and Percentages

    This pack supports the White Rose small step, 'Equivalent F.D.P.' and is compatible with the Year 5 national curriculum aim, 'Solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5, and those fractions with a denominator of a multiple of 10 or 25.'.

  12. Year 5 Equivalent Fractions Maths Challenge

    This Year 5 Equivalent Fractions Maths Challenge checks pupils' understanding of equivalent fractions while also aiming to develop their problem solving skills. Pupils will apply their knowledge of equivalent fractions to help two characters find the route out of a maze.

  13. Fractions KS2

    Problem-solving Schools; About NRICH expand_more. About us; Impact stories; Support us; Our funders; Contact us; search; Site search search. Or search by topic. ... Using the picture of the fraction wall, can you find equivalent fractions? Would You Rather? Age 7 to 11. Challenge Level. Would you rather: Have 10% of £5 or 75% of 80p? Be ...

  14. Equivalent Fraction Word Problems

    docx, 20.27 KB pptx, 230.89 KB There is a PPT with equivalent fraction word problems on there so you can guide their understanding. There is also an activity sheet with a range of word problems and activities that challenge the children's understanding of equivalent fractions.

  15. PDF Discussion Problems Step 1: Equivalent Fractions

    Discussion Problems Step 1: Equivalent Fractions National Curriculum Objectives: Mathematics Year 5: (5F2b) Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths About this resource: This resource has been designed for pupils who understand the concepts within this step.

  16. How to Teach Fractions in Year 5: Equivalent Fractions

    This How to Teach Fractions in Year 5: Equivalent Fractions CPD resource will help you teach the fraction unit of maths in year 5. Clear explanations and helpful guidance about teaching fractions. What children will learn about this topic in year 5. Teaching and learning points to develop children's understanding of this subject area.

  17. PDF Year 5 Equivalent FDP Reasoning and Problem Solving

    Mathematics Year 5: (5F12) Solve problems which require knowing percentage and decimal equivalents of 1/2 , 1/4 , 1/5 , 2/5 , 4/5 and those fractions with a denominator of a multiple of 10 or 25 Differentiation: Questions 1, 4 and 7 (Reasoning) Developing Explain which fraction, decimal or percentage is the odd one out.

  18. PDF Year 5 Compare and Order Less than 1 Reasoning and Problem Solving

    Reasoning and Problem Solving - Compare and Order Less than 1 - Year 5 Expected. 7a.Fran is comparing the fractions 8. 13 25 and 30 . They are both in the 5 times tables so I can divide by 5 to find equivalent fractions. GD.

  19. Equivalent Fractions Challenge Cards

    Equivalent fractions are pairs of fractions which although they may have different numerators and denominators, have the same value. For instance, two thirds is equivalent to four sixths. Twinkl Catch-Up Resources Maths DfE Ready-to-Progress Criteria Year 5 5F-2 Find Equivalent Fractions.

  20. Fractions: Year 5: Planning tool

    Area/region models, such as a fraction wall, can help students solve problems like 1 6 + 1 3 by recognising 1 3 as equivalent to 2 6 and seeing that 1 6 + 2 6 = 3 6 which is equivalent to 1 2 . Demonstrate how questions like the one above can be checked using the inverse operation subtraction, 3 6 - 2 6 - 1 6 = 0.

  21. Equivalent and Simplifying Fractions Practice Questions

    Click here for Answers. simplify. Practice Questions. Previous: Adding Fractions (Same Denominator) Practice Questions. Next: Expressing as a Fractions Practice Questions. The Corbettmaths Practice Questions on Equivalent/Simplifying Fractions.

  22. Choose the Equivalent Fraction

    Year 5 - Number. Standard 5.NS.1.4 - Find the equivalent fraction. Included Skills: ... and as a decimal-solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25. ...

  23. Equivalent Fractions Textbook Exercise

    The Corbettmaths Textbook Exercise on Equivalent Fractions. Welcome; Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths ... Click here for Questions . Textbook Exercise. Previous: Dividing Fractions Textbook Exercise. Next: Expressing as a Fraction Textbook Exercise. GCSE Revision Cards. 5-a-day ...