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Lesson 1: Fractions as Multiples of Unit Fractions — Practice Questions

  1. 1. Which expression shows the fraction $\frac{3}{4}$ correctly decomposed into a sum of unit fractions?

    • A. $\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$
    • B. $\frac{1}{3} + \frac{1}{3} + \frac{1}{3}$
    • C. $\frac{3}{1} + \frac{3}{1} + \frac{3}{1}$
    • D. $\frac{1}{4} + \frac{2}{4}$
  2. 2. Write the fraction $\frac{5}{6}$ as a product of a whole number and a unit fraction. $\frac{5}{6} = \_\_\_ \times \frac{1}{6}$

  3. 3. What fraction is represented by the sum $\frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8}$? The fraction is $\_\_\_$.

  4. 4. Which multiplication expression is equivalent to the fraction $\frac{7}{10}$?

    • A. $7 \times \frac{1}{10}$
    • B. $10 \times \frac{1}{7}$
    • C. $7 + \frac{1}{10}$
    • D. $1 \times \frac{7}{10}$
  5. 5. The expression $6 \times \frac{1}{11}$ represents a fraction. What is that fraction? The fraction is $\_\_\_$.

  6. 6. Which expression is equivalent to the fraction $\frac{3}{4}$?

    • A. $3 \times \frac{1}{3}$
    • B. $4 \times \frac{1}{3}$
    • C. $3 \times \frac{1}{4}$
    • D. $4 \times \frac{1}{4}$
  7. 7. Write the fraction $\frac{7}{8}$ as a product of a whole number and a unit fraction. ___

  8. 8. What fraction is represented by the sum $\frac{1}{10} + \frac{1}{10} + \frac{1}{10}$?

    • A. $\frac{1}{30}$
    • B. $\frac{3}{10}$
    • C. $\frac{10}{3}$
    • D. $\frac{3}{30}$
  9. 9. Fill in the blank to make the equation true: $\frac{6}{11} = \_\_\_ \times \frac{1}{11}$.