16 Score / 10

1 Write the largest fraction of each pair.

a) 38

724

b) 1230

26

c) 34

2036

2 Put these fractions in order from largest to smallest.

712

2024

46

34

12

13

3 Copy and draw a line between the equivalent fractions.

23

56

1824

1015

35

68

2530

915

4 Copy and complete these number sentences.

a) 4?

+ ?15

= 1115

b) 1524

– ?

24 = 8

?

c) 816

+ 5?

= ??

5 What fractions are at a, b, c and d on the number line?

0 1

a b c d

812

6 Copy these fraction pairs and insert <, > or = between them.

a) 1218

56

b) 827

59

c) 424

16

7 Copy these fractions in order from smallest to largest.

710

35100

75100

310

7100

8 Copy and complete these number sentences.

a) 910

+ 1310

= ?10

b) 32100

– 11?

= ?100

c) 2510

– ?10

= 2

9 Copy and draw a line between the equivalent fractions.

38100

0.7

0.75 3100

710

34

0.03 0.38

10 Josh has written 410 on a card and Brodie

has written 28

100.

What fraction will the boys have if they add their fractions together?

Progress test 1

17Score / 10

Progress test 2

1 Put these fractions in order from smallest to largest.

1424

56

812

34

18

2 Copy these fraction pairs and insert >, < or = between them.

a) 67

821

b) 918

48

c) 1012

1218

3 Find four pairs of equivalent fractions from the box below.

13

28

34

46

412

312

23

68

4 What fractions are at a, b, c and d on the number line?

0

a b c d

110

5 Caro has 1824 written on his fraction card. Hira

has 812 written on hers. Who has the larger

fraction?

6 Copy and draw a line to match the equivalent decimals and fractions.

0.4 28

710

0.7

14

410

45

0.8

7 Add these fraction cards. You will need to find the lowest common denominator and convert them first.

312

58

14

8 Copy and to complete the number sentence using each number once.

5 8 10

?

10 +

6?

= 7?

9 Jo has 56 of a cookie. She eats

712 of it. How

much cookie is left?

10 Which is the smaller fraction in each pair?

a) 624

212

b) 35

520

c) 614

1221

18

A mixed number is made up of a whole number and a fraction.Improper fractions have a numerator greater than the denominator and a value greater than 1.

Example: Jill has 112 apples.

112 is a mixed number.

How many 12 are in 11

2?

We can split our whole apple into two halves.

12

+ 12

+ 12

= 32

32 is an improper fraction.

Mixed numbers and improper fractions

1 a) How many quarters are shown? b) How many thirds are shown?

c) How many fifths are shown?

Warm up

19How did you do?

2 What mixed numbers do these shapes represent?

a)

b)

c)

3 What improper fractions do these shapes represent?

a)

b)

c)

4 Copy this pattern and shade 134 of it.

Test yourself

5 Look at the number line below.

a

e f hg1 2 3

168

b c d

a) What improper fractions are at a, b, c and d on the number line?

b) What mixed numbers are at e, f, g and h on the number line?

Challenge yourself

20

Example: Convert 123 to an improper fraction.

123

13

13

13

13

13

13

13

13

13

13

53=

Example: Convert 74 to a mixed number.

14

14

14

14

14

14

14

14

14

14

14

14

14

14

74 13

4

7 ÷ 4 = 1 r 3 or 134

We can convert mixed numbers to improper fractions.

Convert mixed numbers and improper fractions

To convert improper fractions to mixed numbers we divide the numerator by the denominator.

1 What mixed numbers do these shapes represent?

a) c)

b) d)

Warm up

21How did you do?

3 Convert these mixed numbers to improper fractions.

a) 356 b) 73

4 c) 458

4 Convert these improper fractions to mixed numbers.

a) 115

b) 73

c) 167

Test yourself

5 Add these fractions, giving your answers as mixed numbers.

a) 56

+ 36

+ 46

=

b) 45

+ 35

+ 25

=

c) 67

+ 67

=

6 Add these fractions, giving your answers as improper fractions.

a) 49

+ 89

+ 39

=

b) 58

+ 38

+ 48

=

c) 135

+ 65

=

7 Tabitha has 178 of a pie. Sam has 13

8 of a pie. Who has more pie?

Challenge yourself

2 What improper fractions do these shapes represent?

a)

b)

c)

d)