#### Answer

$\dfrac{2+\dfrac{7}{10}}{1+\dfrac{3}{5}}=\dfrac{27}{16}$

#### Work Step by Step

$\dfrac{2+\dfrac{7}{10}}{1+\dfrac{3}{5}}$
Evaluate the sums indicated in the numerator and the denominator:
$\dfrac{2+\dfrac{7}{10}}{1+\dfrac{3}{5}}=\dfrac{\dfrac{20+7}{10}}{\dfrac{5+3}{5}}=\dfrac{\dfrac{27}{10}}{\dfrac{8}{5}}=...$
Evaluate the division and simplify:
$...=\dfrac{27}{10}\div\dfrac{8}{5}=\dfrac{(27)(5)}{(10)(8)}=\dfrac{27}{16}$