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}$
Answer: $ \frac{77}{15}$