Simplify: 12 1 2 - [8 1 2 + 9-(5-3-2) ] - Vidyadip

Question

Simplify: $12 \frac{1}{2}-\left[8 \frac{1}{2}+\{9-(5-\overline{3-2})\}\right]$

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Answer

$\begin{aligned} & 12 \frac{1}{2}-\left[8 \frac{1}{2}+\{9-(5-\overline{3-2})\}\right] \\ & =\frac{25}{2}-\left[\frac{17}{2}+\{9-(5-1)\}\right] \\ & =\frac{25}{2}-\left[\frac{17}{2}+\{9-4\}\right]=\frac{25}{2}-\left[\frac{17}{2}+5\right] \\ & =\frac{25}{2}-\frac{17}{2}-\frac{5}{1}=\frac{25-17-10}{2} \\ & =\frac{25-27}{2}=-\frac{2}{2}=-1\end{aligned}$

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