Question
Simplify: $1 \frac{1}{5}+\left\{2 \frac{1}{3}-(5+\overline{2-3})\right\}-3 \frac{1}{2}$
✓
Answer
$\begin{aligned} & 1 \frac{1}{5}+\left\{2 \frac{1}{3}-(5+\overline{2-3})\right\}-3 \frac{1}{2} \\ & =\frac{6}{5} \div\left\{\frac{7}{3}-(5-1)\right\}-\frac{7}{2} \\ & =\frac{6}{5} \div\left\{\frac{7}{3} \div 4\right\}-\frac{7}{2}=\frac{6}{5} \div\left\{\frac{7-12}{3}\right\}-\frac{7}{2} \\ & =\frac{6}{5} \div \frac{-5}{3}-\frac{7}{2}=\frac{6}{5} \times \frac{3}{-5}-\frac{7}{2} \\ & =-\frac{18}{25}-\frac{7}{2}=\frac{-36-175}{50}=\frac{-211}{50} \\ & =-4 \frac{11}{50}\end{aligned}$
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