Multiplying mixed numbers with fractions: Step-by-step examples.

📚 Quick Study Guide

• 🔢 Convert Mixed Numbers: Always convert mixed numbers to improper fractions before multiplying. For example, $2\frac{1}{2}$ becomes $\frac{5}{2}$.
• ✖️ Multiply Numerators: Multiply the numerators (top numbers) of the fractions.
• ➗ Multiply Denominators: Multiply the denominators (bottom numbers) of the fractions.
• ✍️ Simplify: Simplify the resulting fraction to its lowest terms. If the result is an improper fraction, convert it back to a mixed number.
• ➕ Example: $2\frac{1}{2} \times \frac{1}{3} = \frac{5}{2} \times \frac{1}{3} = \frac{5}{6}$

📝 Practice Quiz

1. What is $1\frac{1}{2} \times \frac{2}{3}$?
   1. $\frac{1}{2}$
   2. $1$
   3. $1\frac{1}{3}$
   4. $2$
2. Calculate $2\frac{1}{4} \times \frac{1}{2}$.
   1. $\frac{9}{8}$
   2. $\frac{3}{4}$
   3. $1\frac{1}{8}$
   4. $\frac{2}{8}$
3. Solve: $3\frac{1}{3} \times \frac{3}{5}$.
   1. $1$
   2. $2$
   3. $\frac{10}{3}$
   4. $\frac{2}{5}$
4. What is the product of $1\frac{3}{4}$ and $\frac{4}{7}$?
   1. $1$
   2. $\frac{1}{4}$
   3. $\frac{7}{16}$
   4. $2$
5. Find the value of $2\frac{2}{5} \times \frac{5}{8}$.
   1. $\frac{2}{5}$
   2. $\frac{12}{5}$
   3. $1\frac{1}{2}$
   4. $2$
6. Evaluate $4\frac{1}{2} \times \frac{2}{9}$.
   1. $1$
   2. $\frac{1}{2}$
   3. $\frac{9}{2}$
   4. $2$
7. Determine: $1\frac{2}{3} \times \frac{3}{5}$.
   1. $1$
   2. $\frac{2}{3}$
   3. $\frac{5}{3}$
   4. $2$