fractions homework for year 3

Fraction Worksheets for Year 3 (age 7-8)

Children coming into Year 3 should have a sound understanding of simple fractions, especially halves, quarters and thirds.  They should have had plenty of practical experience dividing shapes and sets of objects into quarters and thirds.

There are plenty of new concepts on fractions to be understood in Year 3,but it is still important to use practical work, using shapes and objects, to help with understanding.  A key step is to begin working with tenths and recognising that tenths arise from dividing an object into ten equal parts. Later this can be developed to dividing one-digit numbers or quantities by 10. This is crucial for understanding our decimal system and understanding that a fraction such as three tenths can also be represented as a decimal (0.3) and connects to dividing 3 by 10. Counting in tenths can also help enormously with this. We have a great selection of worksheets which deal with writing tenths, counting in tenths and converting tenths to decimals.

Other fractions are also introduced, such as fifths, and equivalence between fractions is developed with the help of pictures and diagrams. This leads on to ordering fractions with the same denominator. One of the quirks of fractions, which some children find hard to understand, is that as the denominator gets larger the size of the number gets smaller (e.g. one tenth is smaller than one fifth; one twentieth is smaller than one tenth and so on). We have some excellent ordering fractions pages for Year 3 to help consolidate this concept. As well as these, some of our most popular worksheets are the sets of finding fractions of numbers, with questions such as ‘What is one sixth of 30?’ Again, the link between fractions and division needs to be constantly reinforced.

As the year progresses children will be introduced to adding and subtracting fractions, but only with the same denominator and with totals up to one whole one. Simplifying fractions is important at this stage and children should be encouraged to write fractions in their simplest form. (e.g. two sixths can be simplified to one third).

All this will lead onto much more on decimals and fractions in Year 4, including hundredths and further work on equivalence. If you child is finding the Year 3 work difficult then it is important to go back to Year 2, or even Year 1, and see what is understood and what concepts have not been fully understood.

Understand fractions and equivalent fractions

Understanding fractions and work on the importance of equivalent fractions.

Colour the correct fractions to match the sequences.

Various fraction problems.

Tricky work on equivalent fractions.

Order fractions with the same denominator.

Order simple fractions.

A little bit of revision on reading and writing fractions.

Understanding halves, quarters and thirds

Revision of work on halves, quarters and thirds.

Finding halves, quarters and thirds of numbers of bees etc..

More finding halves, quarters and thirds.

More finding halves, quarters and thirds - fun colouring.

Some tricky word problems using halves and quarters.

Ordering fractions as more than, equal to or less than a half.

Understanding tenths

Understanding tenths and counting in tenths.

Chocolate cakes to help with understanding tenths.

Colouring tenths of various shapes.

Introducing tenths by colouring one tenth; then finding six tenths, seven tenths etc of shapes. Finding out that five tenths is the same as a half.

Writing tenths in words and as a fraction.

Finding tenths of various animals.

Finding tenths of numbers of objects.

Looking at tenths as decimals and fractions.

Matching fractions and decimals. ordering fractions and decimals.

Counting on in tenths.

Estimating tenths on a number line.

Find fractions of amounts and numbers

Finding fractions of amounts.

Shading quarters, thirds or fifths of various shapes.

Finding fractions of shapes. Makes a change from numbers!

A non-unit fraction is any fraction which does not have one as a numerator.

Find fractions of pizzas.

More pizzas, this time concentrating on fifths and sixths.

Finding fractions of an allotment: equivalent fractions.

Finding fractions of numbers. Working with halves, quarters, thirds and tenths. Remember, to find one fifth, divide by 5.

More finding fractions of numbers.

Solving word problems involving fractions.

Adding and subtracting fractions

Begin to add and subtract fractions with the same denominator.

Use the bar models to help with adding fractions.

Adding fractions with visual clues.

Adding fractions with the same denominator.

More adding fractions with the same denominator.

Subtracting fractions with the same denominator.

More subtracting fractions with the same denominator.

A mixture of addition and subtraction of fractions with the same denominator.

Help for adding fractions of a number of objects.

More addition questions using objects.

Food is thew theme for this set of addition of fractions.

The statutory requirements for fractions in Year 3.

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What your child will learn

Understand and count in tenths.

In Year 3, your child will learn to count in tenths. They will understand that finding a tenth is the same as dividing by ten (by dividing objects, sets of objects, and numbers into ten equal parts).

This will help them to keep seeing the connection between fractions and division. It is possible that your child will start to be introduced to decimals at this stage, too.

Find fractions of a set of objects

Your child will learn to find and write fractions of a given number of objects. For example:

Find     of 15.   First, your child can find   of 15 by dividing the total by the denominator : 15 ÷ 5 = 3.   Then, they can multiply this result by the numerator to find the correct fraction: If   of 15 is 3, then    of 15 is 3  × 2 = 6.     of 15 is therefore 6.

Your child will be able to do this with unit and non-unit fractions. They will learn that:

Use fractions as numbers

Your child will be able to do this with unit and non-unit fractions:

Show equivalent fractions using diagrams

They’ll show their understanding of equivalent fractions by drawing diagrams like this:

Your child will also learn to use objects and  fraction walls  to show equivalent fractions.

Add and subtract fractions with the same denominator

Compare and order fractions

Solve problems that involve all of the above.

Finally, your child will learn to put all this learning into practice by solving problems involving fractions.

They will be able to relate fractions to division, count in fractional steps (for example, counting up and down in tenths), compare fractions, understand  unit  and  non-unit fractions , understand equivalent fractions, find fractions of amounts, and add and subtract fractions with the same denominator.

How to help at home

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

1. Make fraction snowflakes

Paper folding can be a great way to explore fractions.

Decorate a piece of paper or card and then ask your child to fold the paper into different equal parts. For example, they could fold the paper into fifths by creating five equal sections. Ask them to show you a fifth, two-fifths, three-fifths, four-fifths, and five-fifths, which they can see is equivalent to a whole.

Challenge your child by giving the paper a value and asking them to work out what the fractions would be worth. What would one fifth represent if the whole paper had a value of 10? As they fold, they may like to cut patterns into the paper to make a ‘snowflake’ and watch the pattern develop as they fold further.

2. Have fun with food

Cake, pizza, or any foods with a regular shape can help children understand what fractions are and how they work. Ask your child questions like, ‘If I cut our cake into 8 pieces, what fraction will each piece be?’

Foods that people eat lots of can help your child understand how to find fractions of amounts. For example:

‘We have 12 fish fingers in the packet. There are 4 of us. What fraction of the fish fingers can we each have? How many fish fingers would that be?’

Activity: Cupcake fractions

3. Compare fractions together

In Year 3, your child will compare  unit fractions  and fractions with the same  denominator  by saying which fraction is bigger or smaller – and explaining how they know.

4. Fraction countdown

‘Would you prefer it if I cut this cake into ten equal pieces and gave you a piece, or if I cut the cut into two equal pieces and gave you a piece?’

Print out the  Fraction Match activity sheet and cut out each fraction card. Take a selection of cards and see if your child can put them all in order, either from largest to smallest or smallest to largest. Are there any equivalent fractions? See if your child can match them up.

Activity: Fraction Match

5. Make a fraction wall

Equivalent fractions are different fractions that have the same value. In Year 3, your child will learn about equivalent fractions with small denominators using drawings and diagrams.

Why not try making a fraction wall with your child? You could investigate using the computer to make your fraction wall by creating a table and splitting each row into the equal number of parts you need. For example, to represent fifths, you would have to split the whole row into five equal parts.

Alternatively, you can download our fraction wall below.

Fraction wall

6. Adding and subtracting fractions

Try adding and subtracting fractions with the same denominator with your child. Try to do this within a whole, i.e. make sure that the sum uses numbers less than one, including the answer.

Using drawings or diagrams can help your child visualise adding and subtracting fractions. For example:

 +   =    This could be calculated using a diagram like this:     Y our child will first split the whole into five equal parts. Your child can then shade one box to represent   and two boxes to represent  . They will then be able to see that the total is  .

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Fractions & Decimals Worksheets for Grade 3

Free fraction and decimals worksheets.

Our grade 3 fractions and decimals worksheets provide practice exercises on introductory fraction and decimal concepts , including identifying fractions, equivalent fractions, simplifying fractions and basic decimal addition and subtraction.  

Sample Grade 3 Fractions Worksheet

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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Y3 - Number – Fractions - Interactive Quiz

Related worksheets.

An interactive quiz which test your understanding of all the Fractions objectives in the Year 3 curriculum. Choose one objective or multiple objectives. You can save, or print, your test results as a pdf at the end of the quiz. Ideal for formative or summative assessment. 

Alternatively, you can use the  Interactive Maths Quiz  which includes objectives from all strands of the Year 3 curriculum.

This quiz tests the following objectives:

• count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
• recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
• recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators
• recognise and show, using diagrams, equivalent fractions with small denominators

• compare and order unit fractions, and fractions with the same denominators
• solve problems that involve all of the above

Fractions Maths Worksheets

Learning about fractions can be difficult, so we've made it easy for you to produce all of the fractions-related resources you need for your KS2 class right here. Develop understanding by progessing from Comparing Fractions and Finding Fractions of different numbers to the more complex Fraction Arithmetic

Fractions is a wide topic, and you can produce all of the possible fractions-related resources you need for your KS2 class right here.

Free Fraction Arithmetic Worksheet Generator

Free Finding Fractions Worksheet Generator

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A 16-year-old was just fractions of a second shy of becoming youngest male U.S. track Olympian ever

EUGENE, Ore. — Quincy Wilson, a 16-year-old from Bullis School outside Washington D.C., finished sixth with a time of 44.94 in Monday’s 400-meter final at the U.S. Olympic Track and Field Trials. 

Quincy Hall clocked in at 44:17 to take the top spot, and Michael Norman (44:41) and Chris Bailey (44:42) also claimed places on the team headed to Paris.

Though Wilson failed to make the team as an individual runner — and become the youngest male ever to do so — he will have a chance to be part of the U.S. 4x400 relay team. 

The result does not take away from an incredible weekend for the high schooler after he set — and then bested — the world record for under-18 runners that stood for 42 years. 

“I’ve never been this happy a day in my life when it comes to track,” Wilson said after he ran a 44.59 in the semifinals. “I’ve been working for this moment. That record I broke two days ago, that’s 42 years of nobody being able to break that record. I broke it twice in two days. It means a lot to me, because it means the hard work is paying off.”

Wilson, who only 19 days ago finished his sophomore year of high school, competed this week with some of the world’s fastest runners. Vernon Norwood is 32, twice Wilson’s age. Michael Norman, 26, finished fifth in the Tokyo Games.

More from Olympics

• Noah Lyles wins the men's 100-meter final, securing a spot at the Paris Games
• Sha’Carri Richardson is headed to Paris after winning the women’s 100 meters at Olympic trials
• Grant Fisher punches ticket to Paris
• French swimmer's cold call email to Michael Phelps' coach could end in homegrown Olympic glory

Norman called Wilson’s performances “spectacular.”

“A 16-year-old is going out here competing like a true competitor,” Norman said. “He’s not letting the moment get too big. He’s living in the moment and competing, so it’s great to see young talents like himself elevate, push us to run a little bit faster and take us out of our comfort zone. He has a bright future in front of him as long as he stays grounded and focused.”

Wilson, at 5-feet-9 and 140 pounds, could have faded in that semifinal. At the final turn, he was in fifth place with a lot of ground to make up for down the stretch. He said “the race plan went out the window” at that point and he had to dig deep. 

“Stay calm,” he said he told himself in that moment. “I didn’t get out the way that I wanted to, but like my coach said, the race starts at 300. Coming up from fifth to third, it means a lot. If you look at me, I’m not as strong, so it’s 100% heart inside.”

Greg Rosenstein is the sports editor for NBC News Digital.

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Fractions worksheet Y3 plus

Subject: Number

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

30 November 2014

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Add Fractions Homework Extension Year 3 Fractions

Step 6: Add Fractions Homework Extension Year 3 Summer Block 1

Add Fractions Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 3 Add Fractions Resource Pack. These are differentiated for Developing, Expected and Greater Depth.

More resources for Summer Block 1 Step 6.

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What's included in the pack?

This pack includes:

• Add Fractions Homework Extension with answers for Year 3 Summer Block 1.

National Curriculum Objectives

Mathematics Year 3: (3F4) Add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7 ]

Mathematics Year 3: (3F10) Solve problems that involve the above objectives

Differentiation:

Questions 1, 4 and 7 (Varied Fluency) Developing  Use the bar models to complete the fraction number sentence. Fractions with a denominator less than 10, some digits provided. Expected  Use the bar models to complete the fraction number sentence. Fractions with a denominator less than 12. Greater Depth  Use the bar models to complete the fraction number sentence. Three fractions with a denominator less than 12, one which is equivalent.

Questions 2, 5 and 8 (Varied Fluency) Developing  Shade the image to show the total of an addition calculation. Fractions with a denominator less than 10. Image in calculation and answer. Expected  Shade the image to show the total of an addition calculation. Two or three fractions with a denominator less than 12. Image in answer only. Greater Depth  Shade the image to show the total of an addition calculation. Fractions with a denominator less than 12, one which is equivalent. Image in answer only.

Questions 3, 6 and 9 ( Reasoning and Problem Solving ) Developing  Find fraction pairs to identify the correct statement. Fractions with a denominator less than 10. Pictorial support. Expected  Find fraction pairs to identify the correct statement. Fractions with a denominator less than 12. Greater Depth  Find sets of three fractions to identify the correct statement. Fractions with a denominator less than 12.

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