10. \( 3 \frac{4}{5} \times 2 \frac{3}{4}= \)

To solve \( 3 \frac{4}{5} \times 2 \frac{3}{4} \), first convert the mixed numbers to improper fractions. You'll get \( \frac{19}{5} \) for \( 3 \frac{4}{5} \) and \( \frac{11}{4} \) for \( 2 \frac{3}{4} \). Now, multiply these fractions: \[ \frac{19}{5} \times \frac{11}{4} = \frac{19 \times 11}{5 \times 4} = \frac{209}{20} \] Now, convert back to a mixed number: \( \frac{209}{20} = 10 \frac{9}{20} \). So, \( 3 \frac{4}{5} \times 2 \frac{3}{4} = 10 \frac{9}{20} \). --- Understanding fraction multiplication can feel a bit like mixing up a cake recipe – an art as much as a science! Each fraction you multiply contributes to the final flavor, and when you convert those mixed numbers, you’re basically measuring out the ingredients just right for the perfect blend. If you ever find yourself stuck or unsure, remember to double-check your fractions! A common mistake is failing to convert mixed numbers properly—it's like trying to bake without measuring your flour! Always start by turning those mixed numbers into improper fractions before throwing in the math.