16 Score / 1 0

1 Simplify these fractions.

a) 520

b) 1133

c) 1248

2 Simplify these fractions.

a) 2730

b) 2648

c) 3660

3 Convert these fractions to thirds.

a) 812

b) 46

c) 927

4 Convert these fractions to sixths.

a) 1012

b) 13

c) 1648

5 Copy these pairs and circle the smaller fraction from each pair.

a) 1215

37

b) 1612

147

c) 912

1420

6 Mia and Tabitha each have a fraction card. Whose fraction is the largest?

Mia 1230 Tabitha

1840

7 Order these fractions from smallest to largest.

812

56

12

34

412

8 Order these fractions from smallest to largest.

712

46

58

34

9 Ollie has 27 of a tray of toffee. Luca has

16

of the tray. How much toffee do the children have altogether?

10 Dylan makes a tray of 24 brownies. He

gives away 38 of his brownies. What fraction

of his tray does he have left?

Progress test 1

17

Progress test 2

Score / 1 0

1 Simplify these fractions.

a) 30105

b) 78104

c) 2035

2 Convert these fractions to 12ths.

a) 24

b) 448

c) 1696

3 Muhammad got 1224 in his science test and

1830 in his maths test.

In which subject did Muhammad do best?

4 Order these fraction cards from smallest to largest.

210

1840

1420

35

58

5 Add these fraction cards.

524

38

16

6 Nur has 310 of a bottle of water. Connor

adds 715.

How much water do the children have altogether?

7 67

– 34

= ?

8 Ava has a jug of lemonade. She pours out 25 of it and then another

515.

How much lemonade is left?

9 Simplify these fractions.

a) 1232

b) 15105

c) 1656

10 What is the lowest common denominator for these fractions?

17

15

14

20

Example: Uma has 13 of a pizza. She shares it with her sister. How much

pizza do the girls have each?

If we divide each 13 into two equal parts we have six parts altogether.

=

13

÷ 2 = 16

We can divide a whole into equal parts. We can do the same with fractions.

Divide fractions

1 Use the fraction wall below to help you divide these fractions by 2.

a) 14

b) 16

c) 15

Warm up

112

112

112

112

112

12

13

13

12

13

14

15

15

15

14

14

14

15

15

16

16

16

16

16

16

18

18

18

18

18

18

18

18

110

110

110

110

110

110

110

110

110

110

112

112

112

112

112

112

112

1

21How did you do?

3 Divide the shaded fractions by 3. Give your answer as a fraction of the whole shape.

a) b) c)

4 Copy and complete these number sentences.

a) 13

÷ 4 =

b) 14

÷ 3 =

c) 12

÷ 4 =

Test yourself

5 Lena has an apple and cuts it into four pieces. She takes one of the pieces and cuts it in half. What fraction of an apple does she have now?

6 Peter shares 13 of a plum pie between his

three friends. What fraction of the pie does each friend get?

7 Copy and complete these number sentences.

a) 18

÷ 4 =

b) 110

÷ 3 =

c) 115

÷ 4 =

Challenge yourself

2 Divide the shaded fractions by 4. Give your answer as a fraction of the whole shape.

a) b) c)

38

Fractions, decimals and percentages

Example: Which is bigger, 2430 or 75%?

2430

= 810

= 80100

= 80%

80% > 75%2430

> 75%

0

0

Fraction

Decimal 0.25 0.5 0.75 1

0Percentage 25% 50% 75% 1

114

12

34

0 1

0

Fraction

Decimal 0.2

0Percentage 20%

15

0.4

40%

25

0.6

60%

35

0.8

80%

45

1

100%

We need to know the decimal and percentage equivalents for common fractions.

Knowing these equivalents helps us to compare them.

39How did you do?

Test yourself

Challenge yourself

Warm up

1 Convert these fractions to decimals.

a) 25

b) 68

c) 312

2 Convert these fractions to percentages.

a) 120

b) 150

c) 125

3 Convert these fractions to percentages.

a) 840

b) 2730

c) 6390

4 Copy and complete these number sentences.

a) 45

= %

b) 0.32 =

c) 0.45 = %

5 Write >, < or = between these amounts.

a) 30% 1220

b) 0.125 18

c) 824

35%

6 Leo got 45% in a test. Gina got 812. Who scored the highest?