Lesson 3: Multiply non-unit fractions by non-unit fractions. — Practice Questions

1. 1. What is the product of $\frac{3}{5}$ and $\frac{2}{7}$? The result is ___.

2. 2. When multiplying the fractions $\frac{a}{b}$ and $\frac{c}{d}$, which expression represents the denominator of the product?

   • A. $a \times c$
   • B. $b \times d$
   • C. $a \times d$
   • D. $b \times c$

3. 3. Calculate the product: $\frac{5}{6} \times \frac{4}{7} = $ ___.

4. 4. Which fraction is the result of multiplying $\frac{2}{9}$ by $\frac{5}{3}$?

   • A. $\frac{7}{12}$
   • B. $\frac{10}{27}$
   • C. $\frac{6}{45}$
   • D. $\frac{10}{12}$

5. 5. Find the product of $\frac{7}{8}$ and $\frac{3}{2}$. The answer is ___.

6. 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. 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. 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. 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. 10. Using the rule for multiplying fractions, what is the product of $\frac{2}{7}$ and $\frac{3}{5}$? The product is ___.