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Lesson 57: Adding and Subtracting Fractions: Three Steps — Practice Questions

  1. 1. A gardener planted $\frac{1}{3}$ of a garden with roses and $\frac{2}{5}$ with daisies. What fraction of the garden is planted in total? The total fraction is ___.

  2. 2. When adding $\frac{1}{4} + \frac{5}{12}$, the first step is to reshape the fractions to have a common denominator. What is the correct 'Shape' step for this problem?

    • A. $\frac{3}{12} + \frac{5}{12}$
    • B. $\frac{1}{12} + \frac{5}{12}$
    • C. $\frac{6}{16}$
    • D. $\frac{1}{4} + \frac{5}{12}$
  3. 3. Find the sum of $\frac{5}{6}$ and $\frac{1}{2}$. Express your answer as a simplified mixed number. The sum is ___.

  4. 4. A student incorrectly adds $\frac{2}{3} + \frac{1}{5}$ and gets an answer of $\frac{3}{8}$. What was their mistake?

    • A. They added the denominators instead of finding a common one.
    • B. They forgot to simplify the final answer.
    • C. They multiplied the numerators.
    • D. They only reshaped one of the fractions.
  5. 5. After reshaping the problem $\frac{1}{2} + \frac{3}{10}$ to $\frac{5}{10} + \frac{3}{10}$, what is the result of the 'Operate' step, before any simplification? The result is ___.

  6. 6. After finding a common denominator, the problem $\frac{1}{4} + \frac{5}{8}$ is rewritten as $\frac{2}{8} + \frac{5}{8}$. What is the result of the 'Operate' step?

    • A. $\frac{7}{16}$
    • B. $\frac{7}{8}$
    • C. $\frac{3}{8}$
    • D. $\frac{7}{64}$
  7. 7. A baker has $\frac{3}{4}$ of a bag of flour. She uses $\frac{1}{8}$ of the bag for a recipe. What fraction of the bag of flour is left? Simplify your answer. The answer is ___.

  8. 8. Calculate the sum of $\frac{1}{2}$ and $\frac{1}{6}$. Your final answer should be a simplified fraction. The sum is ___.

  9. 9. Maria spends $\frac{1}{2}$ hour on math homework and $\frac{1}{4}$ hour on science homework. What is the total fraction of an hour she spends on homework?

    • A. $\frac{1}{6}$
    • B. $\frac{2}{6}$
    • C. $\frac{3}{4}$
    • D. $\frac{2}{4}$
  10. 10. What is the simplified result of adding $\frac{3}{4}$ and $\frac{1}{2}$?

    • A. $\frac{4}{6}$
    • B. $1\frac{1}{4}$
    • C. $\frac{5}{4}$
    • D. $1\frac{1}{2}$