2. Solve the following operation on rational numbers. [4/5:8/15 − (1 −3/4)] +3/8

1. Perform the division:
\frac{4}{5} \div \frac{8}{15} = \frac{4}{5} \times \frac{15}{8} = \frac{4 \times 15}{5 \times 8} = \frac{60}{40} = \frac{3}{2}

2. Simplify inside the parentheses:
1 - \frac{3}{4} = \frac{4}{4} - \frac{3}{4} = \frac{1}{4}

3. Subtract what’s inside the brackets:
\frac{3}{2} - \frac{1}{4} = \frac{6}{4} - \frac{1}{4} = \frac{5}{4}

4. Finally, add \(\frac{3}{8}\):
\frac{5}{4} + \frac{3}{8} = \frac{10}{8} + \frac{3}{8} = \frac{13}{8}

Answer:
\frac{13}{8}