Question

Simplify:
$\frac{1+\frac{1}{2}}{1-\frac{1}{2}}+\frac{4}{7}(\frac{2}{5}+\frac{3}{10})$ of $\left(\frac{\frac{1}{2}+\frac{1}{3}}{\frac{1}{2}+\frac{1}{3}}\right)$

Answer 1

$\frac{1+\frac{1}{2}}{1-\frac{1}{2}}+\frac{4}{7}(\frac{2}{5}+\frac{3}{10})\times \left(\frac{\frac{1}{2}+\frac{1}{3}}{\frac{1}{2}+\frac{1}{3}}\right)$

$=\frac{3}{1}+\frac{4}{7}\left(\frac{20+15}{50}\right)\times 1=3+\frac{4}{7}\left(\frac{35}{50}\right)$

$=3+\frac{4}{10}=3+\frac{2}{5}=\frac{17}{5}$