Testinar Grade 5 math

Solving Real-World Problems with Fraction Multiplication

Students will solve real-world problems involving fraction multiplication.

CH05-06 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. Multiply: \(2\frac{1}{3} \times 3\)

    1. \(8\)
    2. \(9\)
    3. \(6\)
    4. \(7\)

  2. Multiply: \(1\frac{1}{2} \times 4\)

    Multiplying Mixed Numbers visual for G5-C04-T03-Q002
    1. \(6\)
    2. \(7\)
    3. \(8\)
    4. \(5\)

  3. Multiply: \(3\frac{1}{4} \times 2\)

    1. \(6\frac{1}{2}\)
    2. \(6\frac{1}{4}\)
    3. \(7\)
    4. \(8\)

  4. The area model below represents \(2\frac{1}{2} \times 1\frac{1}{3}\) by breaking both mixed numbers into parts. What is the total area?

    Multiplying Mixed Numbers visual for G5-C04-T03-Q004
    1. \(3\frac{1}{2}\)
    2. \(3\frac{1}{3}\)
    3. \(3\frac{1}{6}\)
    4. \(4\)

  5. A recipe calls for \(1\frac{1}{2}\) cups of flour. If you triple the recipe, how many cups do you need?

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

  6. Multiply: \(2\frac{1}{4} \times 2\frac{2}{3}\)

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

  7. A rectangular garden has length \(3\frac{1}{2}\) meters and width \(2\) meters. What is the area?

    Multiplying Mixed Numbers visual for G5-C04-T03-Q007
    1. \(8\)
    2. \(6\)
    3. \(7\)
    4. \(5\frac{1}{2}\)

  8. Multiply: \(1\frac{1}{3} \times 1\frac{1}{2}\)

    Multiplying Mixed Numbers visual for G5-C04-T03-Q009
    1. \(3\)
    2. \(1\frac{5}{6}\)
    3. \(2\frac{1}{6}\)
    4. \(2\)
Teacher and parent reference

Answer key and explanations

  1. D. \(7\)

    Convert to an improper fraction: \(2\frac{1}{3} = \frac{7}{3}\). Multiply: \(\frac{7}{3} \times 3 = \frac{7 \times 3}{3} = 7\).

  2. A. \(6\)

    Each row shows one group of \(1\frac{1}{2}\). Four groups make \(4\times 1\frac{1}{2}=4\times\frac{3}{2}=\frac{12}{2}=6\).

  3. A. \(6\frac{1}{2}\)

    \(3\frac{1}{4} = \frac{13}{4}\). Then \(\frac{13}{4} \times 2 = \frac{26}{4} = 6\frac{2}{4} = 6\frac{1}{2}\).

  4. B. \(3\frac{1}{3}\)

    Convert: \(2\frac{1}{2} = \frac{5}{2}\) and \(1\frac{1}{3} = \frac{4}{3}\). Multiply: \(\frac{5}{2} \times \frac{4}{3} = \frac{20}{6} = 3\frac{2}{6} = 3\frac{1}{3}\).

  5. D. \(4\frac{1}{2}\)

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

  6. A. \(6\)

    \(2\frac{1}{4} = \frac{9}{4}\) and \(2\frac{2}{3} = \frac{8}{3}\). Multiply: \(\frac{9}{4} \times \frac{8}{3} = \frac{72}{12} = 6\).

  7. C. \(7\)

    \(3\frac{1}{2} \times 2 = \frac{7}{2} \times 2 = \frac{14}{2} = 7\) square meters.

  8. D. \(2\)

    \(1\frac{1}{3} = \frac{4}{3}\) and \(1\frac{1}{2} = \frac{3}{2}\). Multiply: \(\frac{4}{3} \times \frac{3}{2} = \frac{12}{6} = 2\).

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