Answer
$1\frac{1}{22}$
Work Step by Step
$\frac{\frac{3}{4}+\frac{2}{5}}{\frac{1}{2}+\frac{3}{5}}$
$=(\frac{3}{4}+\frac{2}{5})\div(\frac{1}{2}+\frac{3}{5})$
$=(\frac{15}{20}+\frac{8}{20})\div(\frac{5}{10}+\frac{6}{10})$
$=(\frac{23}{20})\div(\frac{11}{10})$
$=\frac{23}{20}\times\frac{10}{11}$
$=\frac{23}{2}\times\frac{1}{11}$
$=\frac{23}{22}$
$=1\frac{1}{22}$