The value of : [5/7 of 
- 5/8 of 6/7] ÷ [1 - 1/7 × (5/12 + 1/3)] × [(1/7)/(1/9)]/[(1/7) + (1/9)]
Show answer & explanation
Correct answer: D
Explanation
Correct answer is Option 4 i.e. 81/32
[5/7 of - 5/8 of 6/7] ÷ [1 - 1/7 × (5/12 + 1/3)] × [(1/7)/(1/9)]/[(1/7) + (1/9)]
⇒ [5/7 of 11/8 - 15/28] ÷ [1 - 1/7 × (3/4)] × (9/7)/[(1/7) + (1/9)]
⇒ [55/56 - 15/28] ÷ [1 - 3/28] × (9/7)/(16/63)
⇒ [25/56] ÷ [25/28] × 81/16
⇒ 1/2 × 81/16 = 81/32