Question

Simplify each of the following:
$45-\left[38-\{60÷3-(6-9÷3)÷3\}\right]$

Answer 1

On applying the BODMAS rule, we get:

45 $-$ [38 $-$ { 60 ÷ 3 $-$ (6 $-$ 9 ÷ 3) ÷ 3}]
= 45 $-$ [38 $-$ {60 ÷ 3 $-$ (6 $-$ 3) ÷ 3}] (On performing division)
= 45 $-$ [38 $-$ {60 ÷ 3 $-$ 3 ÷ 3}] (On simplifying parentheses)
= 45 $-$ [38 $-$ {60 ÷ 3 $-$ 1}] (On performing division)
= 45 $-$ [38 $-$ {20 $-$ 1}] (On performing division)
= 45 $-$ [38 $-$ 19] (On performing subtraction)
= 45 $-$ 19
= 26