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Lesson 4: Add Mixed Numbers with Unlike Denominators — Practice Questions

  1. 1. Find the sum of $3\frac{4}{5}$ and $2\frac{3}{5}$. Express your answer as a mixed number. ___

  2. 2. When adding $4\frac{5}{8} + 2\frac{7}{8}$, the sum of the fractions is $\frac{12}{8}$. How must this fraction be regrouped before finding the final answer?

    • A. It becomes $1\frac{4}{8}$
    • B. It becomes $1\frac{1}{8}$
    • C. It becomes $8\frac{12}{1}$
    • D. It does not need to be regrouped
  3. 3. A baker mixes $1\frac{2}{3}$ cups of sugar with another $1\frac{2}{3}$ cups of sugar. What is the total amount of sugar used? Answer as a mixed number. ___ cups

  4. 4. Calculate the sum and express it as a mixed number in simplest form: $4\frac{5}{6} + 3\frac{5}{6} = $ ___

  5. 5. Which of the following expressions results in a whole number with no fractional part?

    • A. $2\frac{1}{4} + 1\frac{1}{4}$
    • B. $3\frac{2}{5} + 2\frac{4}{5}$
    • C. $4\frac{1}{2} + 3\frac{1}{2}$
    • D. $5\frac{1}{3} + 1\frac{1}{3}$
  6. 6. What is the result of adding $6\frac{7}{10} + 2\frac{9}{10}$? Give your answer as a mixed number. ___

  7. 7. Consider the sum $5\frac{2}{3} + 2\frac{2}{3}$. What is the correct final answer after regrouping?

    • A. $7\frac{4}{3}$
    • B. $8\frac{1}{3}$
    • C. $7\frac{1}{3}$
    • D. $8\frac{2}{3}$
  8. 8. Calculate the sum and express it as a mixed number: $3\frac{4}{5} + 2\frac{3}{5} = \_\_\_$

  9. 9. When adding $4\frac{5}{6} + 1\frac{4}{6}$, the sum of the fractions is $\frac{9}{6}$. How should this improper fraction be regrouped as a mixed number?

    • A. $1\frac{3}{6}$
    • B. $1\frac{2}{6}$
    • C. $9\frac{0}{6}$
    • D. $\frac{6}{9}$
  10. 10. Find the sum: $7\frac{5}{8} + 4\frac{7}{8} = \_\_\_$. Express your answer as a mixed number.