Question
Evaluate:
$8-\left\{5 \frac{1}{3}-\left(3-2 \frac{1}{2}\right)\right\}$

Answer

$8-\left\{5 \frac{1}{3}-\left(3-2 \frac{1}{2}\right)\right\} $
$=8-\left\{\frac{16}{3}-\left(3-\frac{5}{2}\right)\right\} $
$=8-\left\{\frac{16}{3}-3+\frac{5}{2}\right\} $
$=\frac{8}{1}-\frac{16}{3}+\frac{3}{1}-\frac{5}{2} $
$=\frac{48-32+18-15}{6} $
$=\frac{48+18-32-15}{6} $
$=\frac{66-47}{6} $
$=\frac{19}{6} $
$=3 \frac{1}{6}$

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