Lesson 5: Multiplying Mixed Numbers — Practice Questions

1. 1. Calculate the product of $1\frac{1}{2}$ and $2\frac{1}{3}$. Express your answer as a mixed number. ___

2. 2. What is the correct first step when multiplying $4\frac{1}{3}$ by $2\frac{1}{5}$?

   • A. Multiply the whole numbers $4$ and $2$.
   • B. Find a common denominator for the fractions.
   • C. Convert both mixed numbers to improper fractions.
   • D. Add the two mixed numbers together.

3. 3. What is the product of $2\frac{3}{4}$ and $8$? ___

4. 4. Find the product: $1\frac{3}{5} \times 2\frac{1}{2}$.

   • A. $2\frac{3}{10}$
   • B. $3\frac{1}{2}$
   • C. 4
   • D. $4\frac{1}{5}$

5. 5. A rectangle has a length of $3\frac{1}{3}$ inches and a width of $1\frac{4}{5}$ inches. What is its area in square inches? ___

6. 6. When setting up the multiplication for $3\frac{2}{5} \times 1\frac{1}{4}$, what are the equivalent improper fractions to be multiplied?

   • A. $\frac{11}{5} \times \frac{5}{4}$
   • B. $\frac{17}{5} \times \frac{5}{4}$
   • C. $\frac{17}{5} \times \frac{4}{1}$
   • D. $\frac{6}{5} \times \frac{1}{4}$

7. 7. Calculate the product: $2\frac{2}{3} \times 1\frac{1}{4}$. Express your answer as a simplified mixed number. ___

8. 8. A recipe calls for $1\frac{1}{2}$ cups of flour. If you make $2\frac{1}{2}$ batches of the recipe, how many cups of flour do you need?

   • A. $2\frac{1}{4}$
   • B. 3
   • C. $3\frac{1}{2}$
   • D. $3\frac{3}{4}$

9. 9. A garden hose flows at a rate of $4\frac{1}{2}$ gallons per minute. How many gallons of water will flow in $1\frac{1}{3}$ minutes? ___

10. 10. Find the product of $1\frac{1}{2}$ and $2\frac{1}{3}$. Express your answer as a mixed number. The product is ___.