Number

Adding and Subtracting Fractions

Add Fractions — Same Denominator (A)

Find the missing part. Think of the numerators as parts! Example: 1/4 + 2/4 = 3/4.

Add Fractions — Same Denominator (B)

Find the missing numerator.

Subtract Fractions — Same Denominator

The total is the starting numerator. Find what is left after taking away.

Match Fraction Additions (A)

Draw a line from each addition to its answer.

1/5 + 2/5

3/8 + 2/8

1/6 + 4/6

2/10 + 5/10

5/8

3/5

7/10

5/6

Match Fraction Additions (B)

Draw a line from each addition to its answer.

2/7 + 3/7

1/4 + 2/4

4/9 + 3/9

1/3 + 1/3

2/3

3/4

5/7

7/9

Match Fraction Subtractions

Draw a line from each subtraction to its answer.

4/5 − 1/5

7/8 − 3/8

5/6 − 2/6

9/10 − 4/10

5/10

3/5

4/8

3/6

Add Fractions — Choose the Answer (A)

Circle the correct answer.

2/5 + 1/5 = ?

2/5

3/5

3/10

3/8 + 4/8 = ?

7/8

7/16

1/8

1/6 + 3/6 = ?

3/6

4/6

4/12

5/9 + 2/9 = ?

7/18

7/9

3/9

Subtract Fractions — Choose the Answer

Circle the correct answer.

5/6 − 2/6 = ?

3/6

3/0

2/6

7/8 − 5/8 = ?

2/8

2/0

12/8

4/5 − 3/5 = ?

7/5

1/5

1/0

8/10 − 3/10 = ?

5/0

5/10

11/10

Add Same-Denominator Fractions

Calculate each addition.

2/7 + 4/7 = ___

3/10 + 6/10 = ___

1/8 + 5/8 = ___

4/12 + 7/12 = ___

Subtract Same-Denominator Fractions

Calculate each subtraction.

4/5 − 2/5 = ___

7/8 − 3/8 = ___

6/7 − 2/7 = ___

9/10 − 7/10 = ___

Sort: Addition or Subtraction?

Sort each equation by whether it uses addition or subtraction.

1/4 + 2/4 = 3/4

5/6 − 1/6 = 4/6

3/8 + 3/8 = 6/8

7/10 − 2/10 = 5/10

2/3 + 1/3 = 3/3

8/9 − 5/9 = 3/9

Addition

Subtraction

What Denominator Stays the Same?

When we add or subtract fractions with the same denominator, what stays the same?

In 2/5 + 1/5 = 3/5, what stayed the same?

The numerator

The denominator

Both

In 7/8 − 3/8 = 4/8, what changed?

The numerator

The denominator

Both

2/6 + 3/6 = ?/6. The missing numerator is...

9/10 − 4/10 = ?/10. The missing numerator is...

Equivalent Fractions (A)

Draw a line from each fraction to its equivalent.

1/2

1/3

1/4

2/5

2/6

4/10

2/4

2/8

Equivalent Fractions (B)

Draw a line from each fraction to its equivalent.

3/4

2/3

1/5

3/10

2/10

6/8

3/30

4/6

Add Fractions with Related Denominators (A)

Circle the correct answer.

1/2 + 1/4 = ?

2/4

3/4

2/6

1/3 + 1/6 = ?

2/6

3/6

1/6

2/5 + 1/10 = ?

3/10

5/10

3/5

3/4 + 1/8 = ?

4/8

7/8

4/12

Add Fractions with Related Denominators (B)

Circle the correct answer.

1/2 + 3/8 = ?

4/8

7/8

4/10

2/3 + 1/6 = ?

3/6

5/6

3/9

1/4 + 3/8 = ?

4/8

5/8

4/12

1/5 + 3/10 = ?

4/10

5/10

4/15

Add Related Fractions — Show Working

Work out each addition. Show how you make the denominators the same.

1/2 + 1/6 = ___ (Hint: change 1/2 to ?/6)

1/3 + 1/9 = ___ (Hint: change 1/3 to ?/9)

2/5 + 3/10 = ___ (Hint: change 2/5 to ?/10)

1/4 + 5/12 = ___ (Hint: change 1/4 to ?/12)

Subtract Fractions with Related Denominators (A)

Circle the correct answer.

3/4 − 1/2 = ?

1/4

2/4

1/2

5/6 − 1/3 = ?

4/6

3/6

2/6

7/10 − 2/5 = ?

5/10

3/10

5/5

7/8 − 1/4 = ?

6/8

5/8

3/4

Subtract Fractions with Related Denominators (B)

Circle the correct answer.

5/6 − 1/2 = ?

2/6

4/6

1/3

7/8 − 3/4 = ?

1/8

4/8

1/4

4/5 − 1/10 = ?

3/10

7/10

3/5

2/3 − 1/6 = ?

1/6

3/6

1/3

Subtract Related Fractions — Show Working

Work out each subtraction. Show how you make the denominators the same.

3/4 − 1/8 = ___

5/6 − 1/3 = ___

7/10 − 1/5 = ___

2/3 − 1/9 = ___

Fraction Bonds to 1 Whole

Find the fraction that makes 1 whole. The total represents the denominator.

Mixed Add and Subtract (Same Denominators)

Circle the correct answer.

2/7 + 3/7 = ?

5/7

5/14

1/7

8/9 − 5/9 = ?

3/0

3/9

13/9

4/11 + 6/11 = ?

10/11

10/22

2/11

5/12 − 3/12 = ?

2/0

2/12

8/12

Simplify Your Answers

Add or subtract, then simplify (reduce) the fraction if possible.

2/8 + 2/8 = ___ = ___ (simplified)

6/10 − 2/10 = ___ = ___ (simplified)

3/6 + 1/6 = ___ = ___ (simplified)

8/12 − 2/12 = ___ = ___ (simplified)

Mixed Fraction Operations (A)

Calculate. Show your working if the denominators are different.

3/5 + 1/5 = ___

1/2 + 1/4 = ___

5/6 − 1/6 = ___

3/4 − 1/2 = ___

Mixed Fraction Operations (B)

Calculate. Show your working.

2/3 + 1/6 = ___

7/10 − 3/10 = ___

1/4 + 1/8 = ___

5/8 − 1/4 = ___

Fraction Word Problems (A)

Solve each problem. Show your working in the box.

Sam ate 2/6 of a pizza. His sister ate 3/6. How much did they eat altogether?

Draw here

A jug is 3/4 full. You pour out 1/2. How much is left?

Draw here

Mia walked 2/5 of the way to school, then ran another 2/10. How far has she gone?

Draw here

Fraction Word Problems (B)

Solve each problem. Show your working in the box.

A cake is cut into 8 slices. Tom eats 3/8 and Sarah eats 2/8. How much is left?

Draw here

A bottle is 1/2 full. You add another 1/4 of a bottle. How full is it now?

Draw here

Ben reads 1/3 of his book on Monday and 1/6 on Tuesday. How much has he read in total?

Draw here

Fraction Word Problems (C)

Solve each problem.

A garden is 3/4 planted with flowers. 1/8 has weeds. How much more is flowers than weeds?

Draw here

You have 7/10 of a metre of ribbon. You use 2/5. How much ribbon is left?

Draw here

True or False? Fractions

Circle TRUE or FALSE.

1/2 + 1/2 = 2/4

TRUE

FALSE

3/8 + 5/8 = 1

TRUE

FALSE

1/3 + 1/3 + 1/3 = 1

TRUE

FALSE

1/4 is the same as 2/8

TRUE

FALSE

Challenge: Adding Three Fractions

Add these three fractions together. Show your working.

1/6 + 2/6 + 3/6 = ___

1/4 + 1/4 + 1/2 = ___

1/3 + 1/6 + 1/6 = ___

1/2 + 1/4 + 1/8 = ___

Create Your Own Fraction Equations

Write your own fraction addition and subtraction equations.

Write an addition with the answer 5/6: ___ + ___ = 5/6

Write a subtraction with the answer 1/4: ___ − ___ = 1/4

Write an addition using different denominators: ___

Add Fractions Same Denominator (A)

Circle the correct answer.

1/5 + 2/5 = ?

2/5

3/5

3/10

3/8 + 4/8 = ?

7/8

7/16

2/6 + 3/6 = ?

5/6

5/12

6/6

1/4 + 2/4 = ?

3/4

3/8

1/4

Subtract Fractions Same Denominator (A)

Circle the correct answer.

5/6 − 2/6 = ?

3/6

3/12

2/6

7/8 − 3/8 = ?

4/8

4/16

3/8

4/5 − 1/5 = ?

3/5

3/10

5/5

9/10 − 4/10 = ?

5/10

5/20

4/10

Add Fractions Same Denominator (B)

Add.

2/7 + 4/7 = ___

3/10 + 5/10 = ___

1/9 + 7/9 = ___

4/12 + 5/12 = ___

Subtract Fractions Same Denominator (B)

Subtract.

8/9 − 5/9 = ___

7/10 − 3/10 = ___

11/12 − 4/12 = ___

6/8 − 2/8 = ___

Fraction Bonds to 1 (A)

What fraction must be added to make 1 whole?

Match Fraction Sums (A)

Draw a line.

1/4 + 1/4

2/5 + 3/5

1/8 + 2/8

1/6 + 3/6

2/4

4/6

3/8

Sort: Sum Greater or Less Than 1?

Sort each addition.

1/3 + 1/3

4/5 + 1/5

3/4 + 1/2

2/6 + 3/6

5/8 + 2/8

7/10 + 5/10

Less than 1

Equal to 1

Greater than 1

Add Fractions Different Denominators (A)

Find a common denominator and add.

1/3 + 1/6 = ___

1/4 + 1/8 = ___

2/5 + 1/10 = ___

1/2 + 1/3 = ___

Subtract Fractions Different Denominators (A)

Find a common denominator and subtract.

3/4 − 1/8 = ___

5/6 − 1/3 = ___

7/10 − 1/5 = ___

1/2 − 1/6 = ___

Equivalent Fractions Check

Circle the equivalent fraction.

1/2 = ?

2/3

3/6

4/6

2/3 = ?

4/6

3/6

4/9

3/4 = ?

6/12

9/12

8/12

4/5 = ?

8/10

6/10

12/20

Fraction Word Problems (Extra A)

Solve.

You eat 3/8 of a pizza. Your friend eats 2/8. How much is eaten? ___ How much is left? ___

A jug is 3/4 full. You pour out 1/4. How full is it now? ___

You walk 1/3 of the way to school, then another 1/6. What fraction have you walked? ___

Fraction Word Problems (Extra B)

Solve.

A recipe uses 1/2 cup of flour and 1/4 cup of sugar. Total dry ingredients: ___ cups

You read 2/5 of a book on Monday and 1/5 on Tuesday. How much read? ___ How much left? ___

Match Fraction Subtractions

Draw a line.

3/4 − 1/4

5/6 − 1/6

7/8 − 3/8

1 − 3/5

2/5

2/4

4/6

4/8

Mixed Number Addition (A)

Add.

1 1/4 + 2 1/4 = ___

2 1/3 + 1 1/3 = ___

1 1/2 + 2 3/4 = ___

Mixed Number Subtraction (A)

Subtract.

3 3/4 − 1 1/4 = ___

4 1/2 − 2 1/4 = ___

5 − 2 1/3 = ___

Fraction Addition True or False

Circle TRUE or FALSE.

1/2 + 1/3 = 2/5

TRUE

FALSE

1/4 + 3/4 = 1

TRUE

FALSE

2/3 + 2/3 = 4/3 = 1 1/3

TRUE

FALSE

5/6 − 1/3 = 4/3

TRUE

FALSE

Match Fraction Operation to Result

Draw a line.

1/3 + 1/3

3/4 − 1/4

5/8 + 3/8

7/10 − 3/10

2/5 + 3/5

1 whole

1/2

2/5

2/3

4/5

Fraction Bonds to 1 (B)

Find the missing fraction that makes 1 whole.

Equivalent Fractions (B)

Circle the equivalent fraction.

3/4 is equivalent to...

6/10

9/12

4/6

2/3 is equivalent to...

4/8

6/9

3/5

5/10 simplified is...

2/5

1/2

3/6

Which is NOT equivalent to 1/2?

4/8

3/6

5/9

Sort: Proper, Improper, or Mixed?

Sort each fraction.

3/4

7/3

2 1/2

5/5

1 3/8

9/7

Proper fraction

Improper fraction

Mixed number

Fractions in Cooking

Use fractions in cooking.

A recipe needs 2 1/2 cups of flour. You want to make 3 batches. How much flour total? ___

You have 5 cups of flour and use 2 3/4 cups. How much is left? ___

Split 3 1/2 cups of sugar equally between 2 bowls: ___ cups each

Fractions on a Number Line

Plot fractions on number lines.

Mark 1/4, 1/2, 3/4 and 1 1/4 on a number line from 0 to 2.

Draw here

Mark 1/3, 2/3, 1, 1 1/3 and 1 2/3 on a number line from 0 to 2.

Draw here

Doubling Sequences for Mixed Numbers

Continue the sequence.

Fraction of Pizza Eaten

Each icon = 1/8 pizza. Track what each student ate.

Ava
Ben
Cam
Dee
Eve

Who ate the most?

Total eighths eaten?

Total as a mixed number?

How much more than Ava did Eve eat?

Fraction Errors Made

Common fraction mistakes tallied during class.

Item	Tally	Total
Added denominators
Forgot to simplify
Improper fraction error
Mixed number error

Compare Fraction Sums

Tick which sum is larger.

3/8 + 3/8 = 6/8 vs 3/5 + 1/5 = 4/5 — which is larger?

5/6 − 2/6 = 3/6 vs 7/8 − 3/8 = 4/8 — which is larger?

Mixed Number Word Problems

Solve these fraction word problems.

A rope is 4 3/4 m. Another is 2 1/4 m. Total length: ___. Difference: ___

From a 6 m length, 2 2/3 m is cut. How much remains? ___

Divide 5 1/2 kg of rice equally into 4 bags: ___ kg each

Justify Fraction Statements

Agree or disagree. Justify your answer.

1/2 + 1/2 = 2/4. Agree or disagree? ___. Explain:

A larger denominator always means a smaller fraction. Always true? ___. Give an example:

Match Fractions to Equivalent Forms

Match each fraction to its simplest form.

2/4

3/9

6/8

6/10

10/15

1/3

2/3

1/2

3/5

3/4

Fractions that Make 1 (C)

Find the missing fraction to make 1 whole.

___ + 3/8 = 1. Missing fraction: ___

5/12 + ___ = 1. Missing fraction: ___

___ + 7/10 = 1. Missing fraction: ___

2/9 + ___ = 1. Missing fraction: ___

Simplest Form Check

Circle the fraction that is already in simplest form.

Which is in simplest form?

4/6

2/3

Which is in simplest form?

6/9

2/3

Which is in simplest form?

5/15

1/3

Which is in simplest form?

3/7

9/21

Order Fractions from Smallest to Largest

Write in order from smallest to largest.

1/2, 1/3, 1/4, 1/5

3/4, 2/3, 5/6, 7/12

1 1/2, 1 1/3, 1 3/4, 1 2/5

Smallest

Largest

Adding Fractions with Different Denominators

Find common denominators and add.

1/3 + 1/4 = ___ + ___ = ___

3/4 + 1/6 = ___ + ___ = ___

2/5 + 3/10 = ___ + ___ = ___

Subtracting Fractions with Different Denominators

Find common denominators and subtract.

5/6 − 1/4 = ___ − ___ = ___

3/4 − 2/5 = ___ − ___ = ___

Explain the steps you take to subtract fractions with different denominators:

Fraction Sequences (B)

Continue each sequence.

Fractions in Cooking (B)

Use fractions to solve recipe problems.

A recipe needs 3/4 cup of sugar. If you halve the recipe, how much sugar? ___

You need 2 1/2 cups of flour and you've already added 1 1/3 cups. How much more? ___

A cake is divided into 12 equal slices. You eat 3. What fraction remains? In simplest form? ___

Compare Fraction Results

Which calculation gives the larger result?

3/8 + 4/8 = 7/8 vs 2/5 + 3/5 = 1 — which is larger?

11/12 − 1/4 = 8/12 vs 3/4 − 1/6 = 7/12 — which is larger?

Fraction Sizes

Count how many fractions fall in each category.

Item	Tally	Total
Less than 1/2
Exactly 1/2
Between 1/2 and 1
Greater than 1

Fraction Investigation: Unit Fractions

Investigate unit fractions.

What pattern do you notice when you add consecutive unit fractions: 1/2, 1/2 + 1/3, 1/2 + 1/3 + 1/4?

Draw here

How many unit fractions must you add starting from 1/2 to exceed 1? Show your working.

Mixed Numbers: Add or Subtract? (B)

Choose the correct operation to get the result.

1 1/4 and 2 3/4 → to get 4, you need to:

add

subtract

3 1/2 and 1 1/2 → to get 2, you need to:

add

subtract

5/8 and 3/8 → to get 1, you need to:

add

subtract

2 1/3 and 1/3 → to get 2, you need to:

add

subtract

Fractions as Division (B)

Understand fractions as division.

5 ÷ 4 = 5/4 = 1 1/4. Show: 7 ÷ 3 = ___ = ___

Share 3 pizzas equally among 4 people. Each person gets: ___

The answer to 9 ÷ 5 written as a mixed number: ___

Equivalent Fraction Chains

Create equivalent fraction chains.

1/3 = 2/___ = 3/___ = 4/___ = 5/___

3/4 = 6/___ = 9/___ = ___/16 = ___/20

Simplify: 18/24 = ___. Show your working:

Fractions in Measurement (B)

Use fractions in measurement contexts.

A recipe needs 2/3 cup + 1/4 cup of flour. Total: ___

You drink 3/8 of a 2-litre bottle. Amount drunk: ___ L

A path is 5 1/4 m long. After 2 3/4 m, how much remains? ___

Fraction Number Lines (C)

Plot and compare fractions on number lines.

On a number line from 0 to 2, mark: 1/3, 2/3, 1, 4/3, 5/3, 2

Draw here

Which fraction is exactly halfway between 1/2 and 1? ___. Between 1 and 1 1/2? ___

Comparing Three Fractions (B)

Order three fractions from smallest to largest.

Order: 5/6, 3/4, 7/8. Common denominator: ___. Order: ___

Order: 2/3, 5/8, 3/4. Common denominator: ___. Order: ___

Which strategy did you use? ___

Home Activity: Fraction Kitchen

Use fractions in the kitchen!

1Use measuring cups to show that 1/2 cup + 1/4 cup = 3/4 cup.
2Cut a sandwich into quarters. Eat 1/4 and work out what fraction is left.
3Pour 1/3 of a glass of juice, then add another 1/6. What fraction of the glass is full?
4Bake something using a recipe with fractions — practise doubling or halving the recipe.

Trace Fractions (A)

Trace each fraction number carefully.

Match Improper Fractions to Mixed Numbers (A)

Draw a line from each improper fraction to its mixed number.

7/4

9/5

11/6

13/8

2 3/8

1 3/4

1 4/5

1 5/6

Match Improper Fractions to Mixed Numbers (B)

Match each improper fraction to its mixed number.

5/2

7/3

11/4

17/5

2 1/3

2 2/5

2 3/4

2 1/2

Convert Improper to Mixed Number (A)

Circle the correct mixed number.

9/4 = ?

1 1/4

2 1/4

2 3/4

11/3 = ?

3 2/3

3 1/3

4 1/3

7/2 = ?

2 1/2

3 1/2

4 1/2

13/5 = ?

2 2/5

2 3/5

3 2/5

Convert Mixed to Improper Fraction (A)

Circle the correct improper fraction.

2 3/4 = ?

9/4

11/4

10/4

3 1/3 = ?

9/3

10/3

11/3

1 5/6 = ?

10/6

11/6

12/6

4 1/2 = ?

8/2

9/2

10/2

Fraction Bonds to Whole Numbers (A)

Find what fraction is needed to make the next whole number.

Sort Fractions: Less Than 1 or Greater?

Sort each fraction.

3/4

7/5

5/5

2/3

9/8

4/7

Less than 1 (proper)

Equal to or greater than 1 (improper or whole)

Count Fractions in Sequence (A)

Fill in the missing fractions.

Add Fractions with Related Denominators (C)

Convert to a common denominator and add.

1/3 + 5/6 = ___ + ___ = ___

1/4 + 3/8 = ___ + ___ = ___

2/5 + 3/10 = ___ + ___ = ___

1/2 + 5/12 = ___ + ___ = ___

Subtract Fractions with Related Denominators (C)

Convert to a common denominator and subtract.

5/6 − 1/3 = ___ − ___ = ___

7/8 − 1/4 = ___ − ___ = ___

9/10 − 2/5 = ___ − ___ = ___

11/12 − 1/3 = ___ − ___ = ___

Add Mixed Numbers (A)

Add these mixed numbers.

1 1/4 + 2 1/4 = ___

2 1/3 + 1 1/3 = ___

3 2/5 + 1 1/5 = ___

2 3/8 + 1 1/8 = ___

Subtract Mixed Numbers (A)

Subtract these mixed numbers.

3 3/4 − 1 1/4 = ___

4 2/3 − 2 1/3 = ___

5 4/5 − 2 2/5 = ___

6 7/8 − 3 3/8 = ___

Add Mixed Numbers (B)

Add mixed numbers with related denominators.

1 1/2 + 2 1/4 = ___

3 1/3 + 1 1/6 = ___

2 3/10 + 1 2/5 = ___

Add Fractions — Improper Results (A)

Circle the correct simplified answer.

3/4 + 5/4 = ?

8/4

1 1/4

5/6 + 4/6 = ?

9/6

1 3/6

1 1/2

7/8 + 5/8 = ?

12/8

1 1/2

1 4/8

4/5 + 3/5 = ?

7/5

1 2/5

1 3/5

Match Fraction Calculations (C)

Draw a line from each calculation to its answer.

1/2 + 1/4

3/4 − 1/2

5/6 − 1/3

2/3 + 1/6

5/6

1/2

3/4

1/4

Match Fraction Calculations (D)

Match each calculation to its simplified answer.

1/3 + 1/6

5/6 − 1/6

3/5 + 1/10

5/6 − 1/2

1/3

7/10

1/2

2/3

Fraction Word Problems (C)

Solve each problem.

Maria ate 3/8 of a pizza and Tom ate 1/4. How much did they eat altogether?

A ribbon is 7/10 m long. After cutting off 3/10 m, how much is left?

Fraction Word Problems (D)

Solve and explain.

A tank is 5/6 full. Water fills 1/3 of the tank. How much water is in the tank after it is added? Is the tank overfull?

Jake has 3/4 of a litre of paint. He uses 1/3 of a litre. How much paint is left?

Fraction Parts Graph

This graph shows fractions of a pizza eaten by each person.

Ali
Ben
Cara
Dan

If each icon = 1/8 of the pizza, what fraction did Ali eat?

Who ate the most?

What fraction did Ali and Ben eat together?

What fraction of the pizza was eaten in total?

Fraction Survey Results

Students answered what fraction they had completed of their homework.

Item	Tally	Total
1/4 done
1/2 done
3/4 done
All done

Fractions on Ten-Frames (A)

Each ten-frame shows a fraction of 10. Write the fraction.

Compare Fraction Amounts (A)

Which group shows more?

3/8 vs 5/8 — which is bigger?

2/6 vs 3/4 — which is bigger?

4/10 vs 5/6 — which is bigger?

100

Sort Fractions: Size Order

Sort these fractions from smallest to largest.

1/2

1/3

3/4

5/6

2/5

7/8

Smallest

Middle

Largest

101

Challenge: Adding Three Fractions (B)

Add all three fractions.

1/4 + 1/2 + 1/8 = ___

1/3 + 1/6 + 1/2 = ___

2/5 + 1/10 + 3/10 = ___

102

Create Your Own Fraction Equations (B)

Write your own fraction equations.

Write an addition equation with answer 3/4: ___ + ___ = 3/4

Write a subtraction with answer 1/6: ___ − ___ = 1/6

Write an equation using mixed numbers: ___

What to do next

Number

Percentages, Fractions & Decimals

Represent common percentages and connect them to fractions and decimals