The value of 180 ÷[20{(15–6) + (24–18)}] is:

Correct option is B

Given:

​$$\\180 \div[ 20 \{ (15 - 6) + (24 - 18) \}]$$

Solution:

$$\\180 \div [20 \{ (15 - 6) + (24 - 18) \}]\\ \ \\= 180 \div [20 \{ 9 + 6 \}] \\ \ \\= 180 \div[ 20 \{15\}]\\ \ \\= 180 \div 300\\ \ \\= 180 \times \left( \frac{1}{300} \right)\\ \ \\= \frac{18}{30} \\\ \\= \frac{9}{15} \\$$​