Which statement correctly describes how to build an area model for calculating $\frac{1}{4} \times \frac{2}{3}$?

Divide a rectangle into 4 columns and shade 1, then divide it into 3 rows and shade 2.

Divide a rectangle into 4 columns and shade 2, then divide it into 3 rows and shade 1.

Divide a rectangle into 7 total parts and shade 3 of them.

Divide a rectangle into 12 total parts and shade 1 of them.

Multiplying Fractions Using Area Models Practice — Grade 5 math

Lesson 3: Multiplying Fractions Using Area Models — Practice Questions

1. An area model is divided into 5 vertical columns, with 2 shaded. It is also divided into 3 horizontal rows, with 1 shaded. The fraction representing the overlapping area is ___.
2. A rectangular farm is designed so that $\frac{1}{6}$ of its area is used for corn. Of the corn section, only $\frac{1}{2}$ receives fertilizer. What fraction of the total farm has fertilized corn? ___
3. To create an area model for a fraction multiplication problem, a square is partitioned into 7 vertical columns and 4 horizontal rows. How many total equal parts are in the square? ___
4. A recipe for a large tray of granola bars covers $\frac{2}{3}$ of the tray. If nuts are sprinkled on $\frac{1}{4}$ of the granola bars, what fraction of the entire tray has nuts? ___
5. Which statement correctly describes how to build an area model for calculating $\frac{1}{4} \times \frac{2}{3}$?
- A. Divide a rectangle into 4 columns and shade 1, then divide it into 3 rows and shade 2.
- B. Divide a rectangle into 4 columns and shade 2, then divide it into 3 rows and shade 1.
- C. Divide a rectangle into 7 total parts and shade 3 of them.
- D. Divide a rectangle into 12 total parts and shade 1 of them.
6. An area model is used to find the product of $\frac{2}{5} \times \frac{4}{7}$. Into how many total equal parts is the whole rectangle divided?
- A. 8
- B. 14
- C. 28
- D. 35
7. When multiplying $\frac{3}{4} \times \frac{2}{5}$ using an area model, the number of double-shaded parts represents the numerator of the product. How many parts are double-shaded? ___
8. Which phrase best describes the calculation for $\frac{1}{2} \times \frac{3}{4}$?
- A. Finding the sum of $\frac{1}{2}$ and $\frac{3}{4}$.
- B. Finding $\frac{1}{2}$ of the quantity $\frac{3}{4}$.
- C. Dividing the quantity $\frac{3}{4}$ by 2.
- D. Finding the difference between $\frac{3}{4}$ and $\frac{1}{2}$.
9. An area model shows the product of two fractions. It is divided into $5 \times 6 = 30$ total parts. The double-shaded area covers $2 \times 4 = 8$ parts. What is the product? ___
10. Using the rule for multiplying fractions, what is the product of $\frac{2}{7}$ and $\frac{3}{5}$? The product is ___.