Fractions Year 5 www.KeyStage2Maths.com

x2 1 3 2 ? = 6 x2

1 6 2 6 one sixth two sixths 1 3 one third

x4 2 3 8 = 12 ? x4

4 6 8 3 5 2 7 1 12 2 3 two thirds six twelfths seven twelfths eight twelfths one twelfth three twelfths two twelfths four twelfths five twelfths 12 2 3 two thirds

x2 3 6 = 5 10 ? x2

5 6 3 2 1 4 10 3 5 five tenths six tenths three tenths four tenths one tenth two tenths 10 3 5 three fifths

÷2 6 8 3 ? = 4 ÷2

6 8 six eighths 3 4 three quarters

÷2 10 5 ? = 12 6 ÷2

10 ten twelfths 12 5 6 five sixths

÷2 12 6 = 20 10 ? ÷2

12 twelve twentieths 20 6 six tenths 10

1 4 ? = 2 8 x4 x4 Which fraction is larger: or ? 1 2 3 8 To compare fractions with different denominators, find equivalent fractions with the same denominators. 1 2 4 ? = 8 x4

Which fraction is larger: or ? 1 2 3 8 Which fraction is larger: or ?

1 3 3 12 Which fraction is larger: or ? x4 1 3 4 ? = 12 x4

Which fraction is larger: or ? 1 3 3 12 Which fraction is larger: or ?

2 5 5 10 Which fraction is larger: or ? x2 2 5 4 ? = 10 x2

Which fraction is larger: or ? 2 5 5 10 Which fraction is larger: or ?

2 3 1 9 6 9 1 9 7 9 + = + = x3 6 ? 2 3 = 9 x3

2 3 1 9 6 9 1 9 7 9 + = + =

7 12 1 6 7 12 2 12 5 12 - = - = x2 2 ? 1 6 = 12 x2

7 12 1 6 7 12 2 12 5 12 - = - =

11 12 2 3 11 12 8 12 3 12 - = - = x4 8 ? 2 3 = 12 x4

11 12 2 3 11 12 8 12 3 12 - = - =

1 7 6 6 An improper fraction has a larger numerator than denominator. A mixed number is a number and a fraction. 1 6 7 6

An improper fraction has a larger numerator than denominator. A mixed number is a number and a fraction. 5 12 1 17 12

What is 2 ¾ written as an improper fraction? 11 4 3 4 2 (2 x 4) + 3 = 11

What is 4 ½ written as an improper fraction? 9 2 1 2 4 (4 x 2) + 1 = 9

What is 25/8 written as a mixed number? 1 8 3 25 ÷ 8 = 3 r 1

What is 23/6 written as a mixed number? 5 6 3 23 ÷ 6 = 3 r 5

shared out 1 3 10 ÷ 3 = 3 r 1 = 3 remainder thirds

2 4 1 2 10 ÷ 4 = 2 r 2 = 2 = 2

The remainder can be written as the numerator. 1 3 10 ÷ 3 = 3 The divisor can be written as the denominator. 2 4 1 2 10 ÷ 4 = 2 = 2 Simplify the fraction if you can.

5 3 1 5 2 4 4 5 4 2 3 5 7 6 4 2 1

6 2 2 2 5 1 7 4 7 4 4 4 9 0 1 1 2

6 5 11 3 1 + = = 8 8 8 8 Improper fraction Mixed number

5 2 7 1 1 + = = 6 6 6 6 Improper fraction Mixed number

11 4 3 1 + = 12 12 12

1 4 5 1 - = 8 8 8

19 9 10 - = 12 12 12

6 7 9 1 - = 10 10 10

2 3 5 9 6 9 5 9 11 9 2 9 + = + = = 1 x3 2 9 11 ÷ 9 = 1 r 2 = 1 6 ? 2 3 = 9 x3

2 3 5 9 6 9 5 9 11 9 2 9 + = + = = 1

3 4 5 8 6 8 5 8 11 8 3 8 + = + = = 1 x2 3 8 11 ÷ 8 = 1 r 3 = 1 6 ? 3 4 = 8 x2

3 4 5 8 6 8 5 8 11 8 3 8 + = + = = 1

Count on 5 steps of 2/5 from 0. 2 5 4 5 6 5 8 5 10 5 2 5 4 5 1 5 3 5 1 2

Count on 5 steps of 2/7 from 0. 2 7 4 7 6 7 8 7 10 7 2 7 4 7 6 7 1 7 3 7 1

Count on 5 steps of 3/4 from 0. 3 4 6 4 9 4 12 4 15 4 3 4 2 4 1 1 4 2 3 4 3

1 3 4 4 - = 4

1 4 2 3 5 - = 3

3 4 1 5 - = 4

2 3 1 4 - = 3

1 x 13 13 3 1 5 of 13 = = = 2 5 5 5

1 x 17 17 1 1 4 of 17 = = = 4 4 4 4

1 x 23 23 3 1 5 of 23 = = = 4 5 5 5