#### Answer

$10\frac{11}{16}\ A$

#### Work Step by Step

In a parallel circuit the total current is the sum of each leg.
Convert each fraction to the least common denominator and add the numerators.
$3\frac{5}{8}\ A+2\frac{3}{4}\ A+4\frac{5}{16}\ A=3\frac{5\times2}{8\times2}\ A+2\frac{3\times4}{4\times4}\ A+4\frac{5}{16}\ A=3\frac{10}{16}\ A+2\frac{12}{16}\ A+4\frac{5}{16}\ A=9\frac{27}{16}\ A=10\frac{11}{16}\ A$