Question

Simplify each of the following:
$4+\frac{1}{5}\left[\left\{-10\times (25-\overline{13-3})\right\}÷(-5)\right]$

Answer 1

On applying the BODMAS rule, we get:

4 + $\frac{1}{5}$[{ $-$ 10 × ( 25 $-$ $\overline{13-3}$)} ÷ ($-$5)]
= 4 + $\frac{1}{5}$[{$-$ 10 × (25 $-$ 10)} ÷ ($-$ 5)] (On simplifying vinculum)
= 4 + $\frac{1}{5}$[{$-$ 10 × 15} ÷ ($-$5 )] (On simplifying parentheses)
= 4 + $\frac{1}{5}$[30] (On simplifying braces)
= 4 + 6
= 10