Testinar Grade 5 math

Multiplying Fractions by Whole Numbers

Students will multiply fractions by whole numbers using repeated addition, scaling, and models.

CH05-02 Fraction Multiplication
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. A runner jogs 5 laps. Each lap is \(\frac{3}{8}\) mile. How far does the runner jog in all?

    1. \(1\frac{1}{2}\) miles
    2. \(\frac{3}{8}\) mile
    3. \(2\frac{1}{8}\) miles
    4. \(1\frac{7}{8}\) miles

  2. What is \(3 \times \frac{1}{5}\)?

    1. \(\frac{1}{15}\)
    2. \(\frac{3}{5}\)
    3. \(\frac{3}{15}\)
    4. \(1\frac{2}{5}\)

  3. A bar model shows 4 copies of \(\frac{1}{3}\). What is \(4 \times \frac{1}{3}\)?

    Multiplying a Fraction by a Whole Number visual for G5-C04-T01-Q003
    1. \(\frac{1}{12}\)
    2. \(\frac{4}{3}\)
    3. \(\frac{4}{12}\)
    4. \(1\frac{2}{3}\)

  4. What is \(\frac{1}{6} \times 5\)?

    1. \(\frac{5}{1}\)
    2. \(\frac{5}{6}\)
    3. \(\frac{6}{5}\)
    4. \(\frac{1}{30}\)

  5. A baker uses \(\frac{2}{3}\) cup of flour for one batch of cookies. How much flour is needed for 3 batches?

    1. \(\frac{2}{3}\) cups
    2. 2 cups
    3. \(\frac{2}{9}\) cups
    4. \(1\frac{2}{3}\) cups

  6. Number line with hops of \(\frac{1}{4}\): What is \(4 \times \frac{1}{4}\)?

    Multiplying a Fraction by a Whole Number visual for G5-C04-T01-Q006
    1. \(\frac{3}{4}\)
    2. \(4\)
    3. \(\frac{1}{4}\)
    4. \(1\)

  7. Simplify: \(2 \times \frac{3}{8}\)

    1. \(\frac{3}{16}\)
    2. \(\frac{7}{8}\)
    3. \(\frac{3}{4}\)
    4. \(\frac{5}{8}\)

  8. What is \(5 \times \frac{2}{7}\)?

    1. \(\frac{2}{35}\)
    2. \(\frac{10}{7}\)
    3. \(\frac{7}{10}\)
    4. \(\frac{2}{12}\)
Teacher and parent reference

Answer key and explanations

  1. D. \(1\frac{7}{8}\) miles

    Five laps means 5 copies of \(\frac{3}{8}\) mile. \(5 \times \frac{3}{8}=\frac{15}{8}=1\frac{7}{8}\) miles.

  2. B. \(\frac{3}{5}\)

    Think of 3 copies of one fifth. Multiply the whole number by the numerator: \(3 \times \frac{1}{5} = \frac{3 \times 1}{5} = \frac{3}{5}\).

  3. B. \(\frac{4}{3}\)

    The model shows 4 one-third pieces. That is \(4 \times \frac{1}{3} = \frac{4}{3}\), which is one whole and one more third, or \(1\frac{1}{3}\).

  4. B. \(\frac{5}{6}\)

    Five copies of \(\frac{1}{6}\) make \(\frac{5}{6}\). The denominator stays 6 because the size of each piece is still sixths.

  5. B. 2 cups

    Each batch needs \(\frac{2}{3}\) cup, and there are 3 batches. Multiply the 3 batches by the amount for one batch: \(3 \times \frac{2}{3} = \frac{6}{3} = 2\) cups.

  6. D. \(1\)

    The number line counts four equal hops of \(\frac{1}{4}\). After four fourths, you land on \(\frac{4}{4}=1\).

  7. C. \(\frac{3}{4}\)

    Two groups of \(\frac{3}{8}\) give \(\frac{6}{8}\). Since both 6 and 8 can be divided by 2, \(\frac{6}{8}=\frac{3}{4}\).

  8. B. \(\frac{10}{7}\)

    There are 5 groups of \(\frac{2}{7}\), so multiply \(5 \times 2\) in the numerator: \(5 \times \frac{2}{7}=\frac{10}{7}=1\frac{3}{7}\).

Free Testinar sample Reviewed November 6, 2026 testinar.com
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