To solve these multiplication problems involving fractions, you can simply multiply the numerators together and the denominators together. Let's solve each one step by step.
\( \frac{8}{5} \times \frac{5}{4} \): \[ = \frac{8 \times 5}{5 \times 4} = \frac{40}{20} = 2 \]
\( \frac{13}{6} \times \frac{8}{3} \): \[ = \frac{13 \times 8}{6 \times 3} = \frac{104}{18} = \frac{52}{9} \quad (\text{after simplifying}) \]
\( \frac{9}{3} \times \frac{10}{3} \): \[ = \frac{9 \times 10}{3 \times 3} = \frac{90}{9} = 10 \]
\( \frac{8}{3} \times \frac{12}{7} \): \[ = \frac{8 \times 12}{3 \times 7} = \frac{96}{21} = \frac{32}{7} \quad (\text{after simplifying}) \]
To summarize the results:
- \( \frac{8}{5} \times \frac{5}{4} = 2 \)
- \( \frac{13}{6} \times \frac{8}{3} = \frac{52}{9} \)
- \( \frac{9}{3} \times \frac{10}{3} = 10 \)
- \( \frac{8}{3} \times \frac{12}{7} = \frac{32}{7} \)