Answer
$\frac{24}{31}$
Work Step by Step
$\frac{\frac{7}{10}+\frac{1}{2}}{\frac{4}{5}+\frac{3}{4}}$
$=(\frac{7}{10}+\frac{1}{2})\div(\frac{4}{5}+\frac{3}{4})$
$=(\frac{7}{10}+\frac{5}{10})\div(\frac{16}{20}+\frac{15}{20})$
$=\frac{12}{10}\div\frac{31}{20}$
$=\frac{6}{5}\div\frac{31}{20}$
$=\frac{6}{5}\times\frac{20}{31}$
$=\frac{6}{1}\times\frac{4}{31}$
$=\frac{24}{31}$