Simplify 4 4/5 x 3/8 + (3 1/2 + 2/3) x 4/5

Simplify $4 \frac{4}{5} \times \frac{3}{8} + (3 \frac{1}{2} + \frac{2}{3}) \times \frac{4}{5}$

Options
a) $\frac{3}{10}$
b) $\frac{77}{15}$
c) $\frac{15}{77}$
d) $\frac{10}{3}$

Solution

As per question
$4 \frac{4}{5} \times \frac{3}{8} + (3 \frac{1}{2} + \frac{2}{3}) \times \frac{4}{5}$
$4 \frac{4}{5} \times \frac{3}{8} + ( \frac{7}{2} + \frac{2}{3}) \times \frac{4}{5}$
$4 \frac{4}{5} \times \frac{3}{8} + (\frac{21+4}{6}) \times \frac{4}{5}$
$\frac{24}{5} \times \frac{3}{8} + \frac{25}{6} \times \frac{4}{5}$
$\frac{9}{5} + \frac{10}{3}$
$\frac{27 + 50}{15}$
$\frac{77}{15}$