Question

Simplify:$8-\{5\frac{1}{3}-(3-2\frac{1}{2})\}$

Answer 1

$8-\{5\frac{1}{3}-(3-2\frac{1}{2})\}$

$=8-\{\frac{16}{3}-(3-\frac{5}{2})\}$

$=8-\{\frac{16}{3}-3+\frac{5}{2}\}$

$=8-\frac{16}{3}+3-\frac{5}{2}$

$=\frac{48-32+18-15}{6}$

$=\frac{55-47}{6}=\frac{19}{6}=3\frac{1}{6}$