The value of 42 ÷ 9 of 6 - [64 ÷ 48 × 3 - 15 ÷ 8 × (11 - 17) ÷ 9] ÷ 14 is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 29/72.
42 ÷ 9 of 6 - [64 ÷ 48 × 3 - 15 ÷ 8 × (11 - 17) ÷ 9 ] ÷ 14
= 42 ÷ 54 - [64 ÷ 48 × 3 - 15 ÷ 8 × (11 - 17) ÷ 9 ] ÷ 14
= 42 ÷ 54 - [64 ÷ 48 × 3 - 15 ÷ 8 × (-6) ÷ 9 ] ÷ 14
= 7/9 - [(4/3) × 3 - 15/8 × (-2/3) ] ÷ 14
= 7/9 - [4 + 5/4] ÷ 14
= 7/9 - [(16 + 5)/4] ÷ 14
= 7/9 - 21/4 ÷ 14
= 7/9 - 3/8
= (56 - 27)/72
= 29/72