#### Answer

$v\gt-\frac{3}{16}$

#### Work Step by Step

$\frac{5}{8}+v-\frac{7}{16}\gt0$
$\mathrm{Group\:like\:terms}$
$v+\frac{5}{8}-\frac{7}{16}>0$
$\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16$
$\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}$
$\mathrm{For}\:\frac{5}{8}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:2$
$\frac{5}{8}=\frac{5\cdot \:2}{8\cdot \:2}=\frac{10}{16}$
$v+\frac{10}{16}-\frac{7}{16}>0$
$v+\frac{3}{16}>0$
$\mathrm{Subtract\:}\frac{3}{16}\mathrm{\:from\:both\:sides}$
$v+\frac{3}{16}-\frac{3}{16}>0-\frac{3}{16}$
$Simplify$
$v>-\frac{3}{16}$