Number

Fractions — Order, Add & Subtract

1

Which Fraction Is Larger?

Circle the larger fraction in each pair.

Which is larger?

1/3
1/2

Which is larger?

2/5
3/5

Which is larger?

3/4
2/3

Which is larger?

1/6
1/4
2

Compare More Fractions

Circle the larger fraction in each pair.

Which is larger?

2/3
3/4

Which is larger?

5/8
1/2

Which is larger?

2/5
1/3

Which is larger?

7/10
3/5
3

Which Fraction Is Smaller?

Circle the smaller fraction in each pair.

Which is smaller?

1/4
1/3

Which is smaller?

2/5
3/10

Which is smaller?

5/6
4/5

Which is smaller?

1/8
1/6
4

Match Equivalent Fractions

Draw a line to match each fraction to its equivalent.

1/2
2/4
3/6
1/3
2/6
3/6
1/2
2/4
5

More Equivalent Fractions

Draw a line to match each fraction to its equivalent.

2/3
3/4
4/5
1/5
2/10
8/10
6/8
4/6
6

Simplify These Fractions

Write each fraction in its simplest form.

4/8 = ___

6/9 = ___

10/15 = ___

8/12 = ___

5/20 = ___

7

Order Fractions (Smallest to Largest)

Write the fractions in order from smallest to largest.

1/2, 1/4, 3/4 → ___

2/3, 1/6, 1/2 → ___

3/8, 1/4, 5/8 → ___

8

Sort: Greater or Less Than 1/2?

Sort each fraction into the correct column.

1/3
3/4
2/4
5/8
1/5
4/6
3/6
2/8
Less than 1/2
Equal to 1/2
Greater than 1/2
9

Equivalent or Not?

Circle YES if the fractions are equivalent, or NO if they are not.

2/4 and 1/2

YES
NO

3/5 and 2/3

YES
NO

4/6 and 2/3

YES
NO

1/4 and 3/8

YES
NO
10

Find the Equivalent Fraction

Fill in the missing number to make equivalent fractions.

1/3 = ___/6

2/5 = ___/10

3/4 = 6/___

1/2 = ___/8

5/6 = 10/___

11

Add Fractions with Same Denominators

Add these fractions. Simplify your answer if possible.

1/6 + 3/6 = ___

2/8 + 3/8 = ___

1/5 + 2/5 = ___

3/10 + 4/10 = ___

12

Add More Same Denominators

Add these fractions. Simplify if you can.

2/7 + 3/7 = ___

1/4 + 2/4 = ___

4/9 + 2/9 = ___

5/12 + 3/12 = ___

13

Quick Fraction Addition

Circle the correct answer for each addition.

1/5 + 3/5 = ?

3/5
4/5
4/10

2/6 + 3/6 = ?

5/6
5/12
6/6

1/4 + 1/4 = ?

2/8
1/2
2/4

3/8 + 2/8 = ?

5/16
5/8
1/2
14

Add Fractions with Related Denominators

Find a common denominator, then add. Example: 1/2 + 1/4 = 2/4 + 1/4 = 3/4.

1/3 + 1/6 = ___

1/2 + 1/6 = ___

2/3 + 1/6 = ___

1/4 + 1/2 = ___

15

More Related Denominator Addition

Find a common denominator, then add.

1/3 + 1/9 = ___

3/4 + 1/8 = ___

2/5 + 3/10 = ___

1/2 + 3/8 = ___

16

Match Addition to Answer

Draw a line to match each fraction addition to its answer.

1/2 + 1/4
1/3 + 1/6
3/5 + 1/10
1/4 + 1/8
3/8
3/4
7/10
1/2
17

Subtract Fractions with Same Denominators

Subtract these fractions. Simplify if possible.

5/6 − 2/6 = ___

7/8 − 3/8 = ___

4/5 − 1/5 = ___

9/10 − 3/10 = ___

18

Quick Fraction Subtraction

Circle the correct answer for each subtraction.

3/4 − 1/4 = ?

2/4
1/2
Both are correct

5/6 − 1/6 = ?

4/6
2/3
Both are correct

7/10 − 3/10 = ?

4/10
2/5
Both are correct

4/8 − 1/8 = ?

3/8
1/4
3/16
19

Subtract Fractions with Related Denominators

Find a common denominator, then subtract. Show your working.

3/4 − 1/2 = ___

5/6 − 1/3 = ___

7/8 − 1/4 = ___

2/3 − 1/6 = ___

20

More Related Denominator Subtraction

Find a common denominator, then subtract.

4/5 − 3/10 = ___

5/6 − 1/2 = ___

7/8 − 3/4 = ___

2/3 − 1/9 = ___

21

Check the Answer

Circle the correct answer for each fraction problem.

1/2 + 1/4 = ?

2/4
3/4
2/6

2/3 − 1/6 = ?

1/6
3/6
1/3

3/4 − 1/2 = ?

2/4
1/4
1/2

1/3 + 2/6 = ?

3/6
2/3
3/9
22

More Answer Checks

Circle the correct answer.

3/4 + 1/8 = ?

4/8
7/8
4/12

5/6 − 2/3 = ?

1/6
3/6
1/3

1/2 + 2/5 = ?

3/7
9/10
3/10

7/10 − 1/5 = ?

6/10
1/2
Both are correct
23

Fraction Word Problems

Solve each word problem involving fractions.

Sam ate 1/4 of a pizza. His sister ate 1/2 of the same pizza. How much did they eat altogether?

A jug was 5/6 full. Mum used 1/3 of the jug. How much is left?

You walked 3/8 of a km to the shop and 1/4 of a km to the park. How far did you walk in total?

A ribbon is 7/10 of a metre long. You cut off 2/5 of a metre. How much is left?

24

Mixed Addition and Subtraction

Solve each problem. Simplify your answer.

1/2 + 1/4 − 1/8 = ___

2/3 − 1/6 + 1/6 = ___

3/4 − 1/2 + 1/8 = ___

5/6 − 1/3 − 1/6 = ___

25

Explain Your Method

Show your full working for each problem. Explain your steps.

Calculate 2/3 + 1/4. Show all steps.

Calculate 5/6 − 3/8. Show all steps.

26

Home Activity: Fraction Kitchen

Explore fractions using cooking and everyday items!

  • 1Use a measuring cup: fill it 1/3 full, then add another 1/6. How full is it now?
  • 2Cut a piece of paper into 6 equal parts. Colour 1/2 of them. How many sixths did you colour?
  • 3Find a recipe and halve all the fraction amounts.
  • 4Order these fractions from smallest to largest: 1/2, 1/3, 2/3, 1/6, 5/6.
  • 5Use a ruler marked in eighths. Measure five objects and record their lengths as fractions.
27

Mixed Numbers and Improper Fractions

Convert between mixed numbers and improper fractions.

1¾ = ___/4

2½ = ___/2

11/3 = ___ ___/3

17/5 = ___ ___/5

3⅖ = ___/5

28

Greater Than or Less Than 1?

Circle whether each fraction is less than, equal to, or greater than 1.

5/4

< 1
= 1
> 1

3/3

< 1
= 1
> 1

7/8

< 1
= 1
> 1

9/7

< 1
= 1
> 1
29

Match Fraction to Position on Number Line

Draw a line to match each fraction to its correct position.

1/4
3/4
5/4
7/4
between 1 and 2
between 0 and 1 (near 1)
between 0 and 1 (near 0)
between 0 and 1 (in middle)
30

Adding Fractions — Finding Common Denominators

Find the lowest common denominator and add.

2/3 + 1/4. LCD = ___. Answer = ___

3/5 + 1/4. LCD = ___. Answer = ___

1/6 + 3/8. LCD = ___. Answer = ___

5/6 + 2/9. LCD = ___. Answer = ___

31

Subtracting Fractions — Finding Common Denominators

Find the lowest common denominator and subtract.

3/4 − 1/6. LCD = ___. Answer = ___

5/8 − 1/3. LCD = ___. Answer = ___

7/10 − 2/5. LCD = ___. Answer = ___

4/9 − 1/6. LCD = ___. Answer = ___

32

Check the Equivalent Fraction

Circle the correct equivalent fraction.

3/5 = ?/20

9
10
12

2/7 = ?/21

4
6
7

5/8 = ?/40

20
25
30

4/9 = ?/27

12
16
18
33

Fraction Bonds to 1

Find the missing value that makes each pair add to 1. Write fractions as decimals (e.g., 1/2 = 0.5).

1
0.5
?
1
0.25
?
1
?
0.75
1
0.4
?
1
?
0.8
34

Fraction Bonds to Whole Numbers

Find the missing fraction.

3/4 + ___ = 1

2/5 + ___ = 1

___ + 5/6 = 1

7/8 + ___ = 2

1/3 + ___ = 2

35

Sort Fractions by Size

Sort each set of fractions from smallest to largest.

3/8
1/2
5/12
7/12
Smallest
2nd
3rd
Largest
36

Benchmark Fractions

Use 0, 1/2, and 1 as benchmarks. Is each fraction closest to 0, 1/2, or 1?

1/8 is closest to: ___

5/6 is closest to: ___

4/9 is closest to: ___

11/12 is closest to: ___

2/7 is closest to: ___

37

Fractions of a Collection

A class of 24 students. The graph shows fractions in each group. Answer the questions.

Walk to school (1/4)
Ride bike (1/6)
Catch bus (1/3)
Car (1/4)
1

What fraction of students walk or ride?

2

How many students catch the bus?

3

Do all fractions add to 1? Show working.

38

Fraction Ordering Survey

Students were asked which fraction is largest. Record their answers.

ItemTallyTotal
3/8
5/12
1/2
7/16
39

Fraction Word Problems — Extended

Solve these multi-step fraction word problems.

A pizza is cut into 12 slices. Liam eats 1/3 and Emma eats 1/4. What fraction is left? ___

A container is 5/6 full. You pour out 1/3 of the total. How full is it now? ___

A recipe needs 3/4 cup sugar and 1/3 cup brown sugar. Total sugar needed? ___

40

Add and Subtract Mixed Numbers

Calculate each mixed number problem.

1½ + 2¼ = ___

3¾ − 1½ = ___

2⅓ + 1⅔ = ___

4½ − 2¾ = ___

41

Fraction Comparison Challenge

Circle the correct symbol (<, =, >) between each pair.

4/5 ___ 7/8

<
=
>

5/6 ___ 10/12

<
=
>

3/7 ___ 2/5

<
=
>

7/9 ___ 5/6

<
=
>
42

Multiplying a Fraction by a Whole Number

Multiply each fraction by the whole number.

3 × 1/4 = ___

4 × 2/3 = ___

5 × 3/8 = ___

6 × 5/6 = ___

43

Fraction of an Amount — Applied

Calculate each fraction of the quantity.

3/4 of 60 apples = ___

5/8 of 72 cm = ___ cm

2/9 of 54 kg = ___ kg

7/10 of 300 mL = ___ mL

44

Explain Fraction Simplification

Simplify and explain your method.

12/18 simplified = ___. Explain: ___

15/25 simplified = ___. Explain: ___

Why is 5/7 already in simplest form? ___

45

Match Word Problem to Equation

Draw a line to match each word problem to its equation.

Ate 1/3 of 12 cookies
Two-fifths of 30 students
Three-quarters of a 20 cm ribbon
Half of 48 marbles
24 marbles
12 students
15 cm
4 cookies
46

Fractions Reasoning

Answer these reasoning questions about fractions.

True or False: 1/3 is always smaller than 1/2. Explain: ___

Give an example where the numerator and denominator are both prime: ___

Which is larger: 7/8 or 11/12? Show your working: ___

47

Fraction Sequences

Fill in the missing fraction in each pattern. Write fractions as decimals (e.g., 1/4 = 0.25).

0.25
0.5
0.75
1.25
?
1
0.8
0.6
0.2
?
0.1
0.2
0.4
1.6
?
48

Fraction Investigation

Investigate these fraction patterns.

List five fractions equivalent to 2/3: ___

What is the pattern? ___

How can you tell if two fractions are equivalent without working them out? ___