Lesson 2: Multiply a Fraction by a Whole Number: Use Models — Practice Questions

1. 1. To model the multiplication $5 \times \frac{3}{4}$ using an area model, how many shapes should be drawn and how many equal parts should each shape be divided into?

   • A. 3 shapes, each with 4 parts
   • B. 5 shapes, each with 4 parts
   • C. 4 shapes, each with 5 parts
   • D. 5 shapes, each with 3 parts

2. 2. An area model shows 6 circles, each divided into 7 equal parts. In each circle, 4 parts are shaded. This model represents the multiplication problem $6 \times$ ___.

3. 3. If you use an area model to represent the product $2 \times \frac{4}{9}$, what is the total number of shaded parts you will draw? ___

4. 4. An area model is used to show $4 \times \frac{2}{3}$. What fraction does the total shaded area represent?

   • A. $\frac{2}{12}$
   • B. $\frac{6}{3}$
   • C. $\frac{8}{12}$
   • D. $\frac{8}{3}$

5. 5. When creating an area model for $c \times \frac{a}{b}$, what does the value of $c$ represent?

   • A. The number of shaded parts in one shape
   • B. The total number of equal parts in one shape
   • C. The total number of shapes to draw
   • D. The total number of shaded parts in all shapes

6. 6. Using an area model for the multiplication $5 \times \frac{1}{6}$, the total shaded area represents the fraction ___.

7. 7. Which multiplication problem is modeled by drawing 2 rectangles, each divided into 5 parts, with 3 parts shaded in each rectangle?

   • A. $3 \times \frac{2}{5}$
   • B. $2 \times \frac{3}{5}$
   • C. $5 \times \frac{2}{3}$
   • D. $2 \times \frac{5}{3}$

8. 8. To create an area model for the product $7 \times \frac{3}{8}$, each of the 7 shapes must be divided into ___ equal parts.

9. 9. An area model for the multiplication $3 \times \frac{2}{7}$ is created. What is the total number of shaded parts across all shapes?

   • A. 5
   • B. 6
   • C. 7
   • D. 21