\( \begin{array}{lll}\text { 3. } \frac{5}{6} \times 3=\frac{15}{6} & \text { 4. } \frac{5}{6} \text { of } 12=\frac{60}{6} & \text { 5. } \frac{3}{5} \text { of } 20= \\ 5 \times 3=15 & 5 \times 12=60 & 3 \times 20=60 \\ \text { 6. } \frac{2}{3} \text { of } 8=\frac{16}{3} & \text { 7. } \frac{2}{9} \times 3=\frac{6}{9} & \text { 8. } \frac{4}{7} \times 10=\frac{40}{7} \\ 2 \times 8=16 & 2 \times 3=6 & 4 \times 10=40\end{array} \)

Let's go through each of the calculations step by step to ensure clarity and correctness. ### Problem 3: \( \frac{5}{6} \times 3 \) 1. **Multiply the fraction by the whole number:** \[ \frac{5}{6} \times 3 = \frac{5 \times 3}{6} = \frac{15}{6} \] ### Problem 4: \( \frac{5}{6} \text{ of } 12 \) 1. **Calculate \( \frac{5}{6} \) of 12:** \[ \frac{5}{6} \times 12 = \frac{5 \times 12}{6} = \frac{60}{6} = 10 \] ### Problem 5: \( \frac{3}{5} \text{ of } 20 \) 1. **Calculate \( \frac{3}{5} \) of 20:** \[ \frac{3}{5} \times 20 = \frac{3 \times 20}{5} = \frac{60}{5} = 12 \] ### Problem 6: \( \frac{2}{3} \text{ of } 8 \) 1. **Calculate \( \frac{2}{3} \) of 8:** \[ \frac{2}{3} \times 8 = \frac{2 \times 8}{3} = \frac{16}{3} \] ### Problem 7: \( \frac{2}{9} \times 3 \) 1. **Multiply the fraction by the whole number:** \[ \frac{2}{9} \times 3 = \frac{2 \times 3}{9} = \frac{6}{9} = \frac{2}{3} \text{ (simplified)} \] ### Problem 8: \( \frac{4}{7} \times 10 \) 1. **Multiply the fraction by the whole number:** \[ \frac{4}{7} \times 10 = \frac{4 \times 10}{7} = \frac{40}{7} \] ### Summary of Results: - Problem 3: \( \frac{15}{6} \) - Problem 4: \( 10 \) - Problem 5: \( 12 \) - Problem 6: \( \frac{16}{3} \) - Problem 7: \( \frac{2}{3} \) - Problem 8: \( \frac{40}{7} \) If you have any further questions or need additional calculations, feel free to ask!