Question
Class 7MathematicsFractions and Decimals

Simplify the following:

(i) (2/1/2 + 1/5) ÷ (2/1/2 + 1/5)

(ii) (1/4 + 1/5) ÷ (1 − (3/8 × 3/5))

Verified Answer

(i) = (2 1/2 + 1/5) ÷ (2 1/2 + 1/5)

= (5/2 + 1/5) ÷ (5/2 + 1/5)

= (25 + 2/10) ÷ (25/2)

= 27/10 × 2/25

= 27/125

(ii) = (1/4 + 1/5) ÷ (1 − (3/8 × 3/5))

= (5 + 4/20) ÷ (1 − 9/40)

= 9/20 ÷ (40 − 9/40)

= 9/20 × 40/31

= 18/31