Exercise 6.3 (Like fractions and unlike fractions)

Exercise 6.3

1. Convert the following into like fractions.

i) 1/4, 3/8

Multiples of 4 = 4, 8, 12, 16

Multiples of 8 = 8, 16, 24, 32

Common denominator = 8

1×2 / 4×2 = 2/8 ; 3×1 / 8×1 =3/8

Answer: 2/8, 3/8

ii. 2/5, 1/7

Multiples of 5 = 5, 10, 15, 25, 30, 35

Multiples of 7= 7, 14, 21, 28, 35

Common denominator = 35

2×7 / 5×7 = 14/35  ; 1×5 / 7×5 = 5/35

Answer: 14/35, 5/35

iii. 2/5, 3/10

Multiples of 5 = 5, 10, 15, 20, 25

Multiples of 10 = 10, 20, 30

Common denominator = 10

2×2 / 5×2 = 4/10, 3×1 / 10×1 = 3/10

Answer: 4/10, 3/10

iv. 2/7, 1/6

Multiples of 7= 7, 14, 21, 28, 35, 42

Multiples of 6= 6, 12, 18, 24, 30, 36, 42

Common denominator = 42

2×6 / 7×6 = 12/42, 1×7 / 6×7 = 7/42

Answer: 12/42 , 7/42

v. 1/3, 3/4

Multiples of 3= 3, 6, 9, 12

Multiples of 4 = 4, 8, 12,

Common denominator = 12

1×4 / 3×4 = 4/12, 3×3 / 4×3 = 9/12

Answer: 4/12, 9/12

vi. 5/6 , 4/5

Multiples of 6= 6, 12, 18, 24, 30

Multiples of 5 = 5, 10, 15, 25, 30

Common denominator = 30

5×5 / 6×5 = 25/30, 4×6 / 5×6 = 24/30

Answer: 25/30, 24/30

vii. 1/8, 3/7

Multiples of 8 = 8, 16, 24, 32, 40, 48, 56

Multiples of 7= 7, 14, 21, 28, 35, 42, 49, 56

Common denominator = 56

1×7 / 8×7 = 7/56, 3×8 / 7×8 = 24/56

Answer: 7/56, 24/56

viii. 1/6, 4/9

Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54

Multiples of 9= 9, 18, 27, 36, 45, 54

Common denominator = 54

1×9 / 6×9 = 9/54, 4×6 / 9×6 = 24/54

Answer: 9/54, 24/54