The value of (3\ ÷\5\ -\ 5 \ ÷ \ (6-7) \ × 8 \ + \ 9\)/(4 \ + \ 4 × \ 4 \ ÷ \ 4 \ of \ 4) is:

The value of (3\ ÷\5\ -\ 5 \ ÷ \ (6-7) \ × 8 \ + \ 9\)/(4…

The value of $\frac{3\ \div\{5\ -\ 5 \ \div \ (6-7) \ \times 8 \ + \ 9\}}{4 \ + \ 4 \times \ 4 \ \div \ 4 \ \text{of} \ 4}$ is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1/90.

Understanding/Application

[3 ÷ {5 - 5 ÷ (6 - 7) × 8 + 9}]/(4 + 4 × 4 ÷ 4 × 4)

= [3 ÷ {5 - 5 ÷ (-1) × 8 + 9}]/(4 + 16 ÷ 16)

= [3 ÷ {5 + 5 × 8 + 9]/5

= [3 ÷ {5 + 40 + 9}]/5

= [3 ÷ (54)]/5

= 1/90