Lesson 4: The Standard Algorithm for Fraction Multiplication — 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. Multiply, and write the answer in simplified form: $-\frac{5}{9} \cdot \frac{3}{10} = $ ___.

7. 7. Multiply, and write the answer in simplified form: $\frac{3}{4} \cdot \frac{9}{10} = $ ___.

8. 8. Multiply, and write the answer in simplified form: $\frac{5}{12} \left(-\frac{8}{15}\right) = $ ___.

9. 9. Multiply, and write the answer in simplified form: $-\frac{2}{3} \left(-\frac{3}{8}\right) = $ ___.

10. 10. Multiply, and write the answer in simplified form: $4 \cdot \frac{5}{11} = $ ___.