Question: 5 \(\frac{2}{3} \times \left( \frac{3}{8} + \frac{4}{5} \right)\)

5

\(\frac{2}{3} \times \left( \frac{3}{8} + \frac{4}{5} \right)\)

Solution

First, evaluate the expression inside the parentheses. \[ \frac{3}{8} + \frac{4}{5} = \frac{15}{40} + \frac{32}{40} = \frac{47}{40} \] Next, multiply $\frac{2}{3}$ by the result. \[ \frac{2}{3} \times \frac{47}{40} = \frac{94}{120} \] Simplify the fraction: \[ \frac{94}{120} = \frac{47}{60} \] Therefore, the final answer is $\frac{47}{60}$.