Test your skills: Multiplying mixed numbers assessment

📚 Quick Study Guide

• 🔢 Mixed Numbers: A mixed number combines a whole number and a proper fraction (e.g., $2\frac{1}{3}$).
• ➡️ Improper Fractions: To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and keep the same denominator. For example, $2\frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{7}{3}$.
• ✖️ Multiplying Fractions: To multiply fractions, multiply the numerators together and the denominators together: $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$.
• 🔄 Simplifying Fractions: After multiplying, simplify the resulting fraction to its lowest terms by dividing both the numerator and denominator by their greatest common factor (GCF).
• 🧮 Multiplying Mixed Numbers: Convert mixed numbers to improper fractions before multiplying. Then, multiply the fractions and simplify the result back to a mixed number if necessary.

Practice Quiz

1. What is $1\frac{1}{2} \times 2\frac{1}{3}$?
   1. $\frac{5}{2}$
   2. $3\frac{1}{2}$
   3. $2\frac{1}{6}$
   4. $\frac{7}{6}$
2. Calculate $3\frac{1}{4} \times 1\frac{1}{5}$.
   1. $3\frac{1}{20}$
   2. $3\frac{1}{5}$
   3. $3.9$
   4. $4$
3. Find the product of $2\frac{2}{5} \times 3\frac{1}{3}$.
   1. $6\frac{2}{15}$
   2. $8$
   3. $7\frac{1}{5}$
   4. $9$
4. Evaluate $4\frac{1}{2} \times \frac{2}{3}$.
   1. $3$
   2. $\frac{2}{9}$
   3. $2\frac{1}{3}$
   4. $\frac{9}{2}$
5. What is $1\frac{3}{4} \times 2\frac{2}{7}$?
   1. $3\frac{1}{2}$
   2. $4$
   3. $4\frac{1}{4}$
   4. $\frac{4}{7}$
6. Determine $5\frac{1}{3} \times \frac{3}{8}$.
   1. $2$
   2. $2\frac{1}{2}$
   3. $\frac{5}{8}$
   4. $\frac{8}{3}$
7. Solve $2\frac{1}{5} \times 1\frac{2}{3}$.
   1. $3\frac{2}{3}$
   2. $3\frac{1}{6}$
   3. $4$
   4. $\frac{11}{15}$