Question

Simplify each of the following:
$\left[29-(-2)\left\{6-(7-3)\right\}\right]÷\left[3\times \{5+(-3)\times (-2\left)\right\}\right]$

Answer 1

On applying the BODMAS rule, we get:

[29 $-$ ($-$ 2) {6 $-$ (7 $-$ 3)}] ÷ [3 × { $-$ 3) × ($-$ 2)}]
= [29 $-$ ($-$ 2) {6 $-$ 4}] ÷ [3 × { 5 + 6}] (On simplifying parentheses)
= [29 $-$ ($-$ 2) (2)] ÷ [3 × 11] (On performing subtraction and addition)
= [29 + 4] $÷$ 33 (On performing multiplication)
= 33 $÷$ 33
= 1