Testinar Grade 5 math

Adding and Subtracting Mixed Numbers

Students will add and subtract mixed numbers with unlike denominators and simplify results.

CH04-04 Adding and Subtracting Fractions
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. What is \(1\frac{1}{6} + \frac{1}{4} + \frac{1}{12}\)?

    1. \(1\frac{1}{4}\)
    2. \(1\frac{1}{3}\)
    3. \(1\frac{5}{12}\)
    4. \(1\frac{1}{2}\)

  2. Add: \(1\frac{2}{5} + 2\frac{1}{5}\)

    Adding Mixed Numbers visual for G5-C03-T05-Q002
    1. \(3\frac{2}{5}\)
    2. \(3\frac{3}{5}\)
    3. \(3\frac{1}{5}\)
    4. \(4\frac{2}{5}\)

  3. Add: \(3\frac{1}{4} + 1\frac{3}{4}\)

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

  4. Add: \(2\frac{2}{3} + 1\frac{1}{3}\)

    Adding Mixed Numbers visual for G5-C03-T05-Q004
    1. \(3\frac{1}{3}\)
    2. \(3\frac{2}{3}\)
    3. \(4\)
    4. \(4\frac{1}{3}\)

  5. Add: \(1\frac{1}{6} + 2\frac{2}{6}\)

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

  6. A recipe calls for \(1\frac{1}{2}\) cups flour and \(\frac{3}{4}\) cup sugar. Total needed?

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

  7. Two fabric pieces: \(3\frac{1}{2}\) m and \(2\frac{1}{2}\) m. Total length?

    Adding Mixed Numbers visual for G5-C03-T05-Q007
    1. \(5\) m
    2. \(7\) m
    3. \(6\frac{1}{2}\) m
    4. \(6\) m

  8. Add: \(2\frac{1}{3} + 1\frac{2}{3}\)

    Adding Mixed Numbers visual for G5-C03-T05-Q009
    1. \(3\frac{2}{3}\)
    2. \(4\)
    3. \(4\frac{1}{3}\)
    4. \(3\frac{1}{3}\)
Teacher and parent reference

Answer key and explanations

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

    Use denominator 12: \(1\frac{1}{6}=1\frac{2}{12}\), \(\frac{1}{4}=\frac{3}{12}\), and \(\frac{1}{12}\) stays the same. The fractional parts add to \(\frac{2}{12}+\frac{3}{12}+\frac{1}{12}=\frac{6}{12}=\frac{1}{2}\), so the sum is \(1\frac{1}{2}\).

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

    Add whole parts: \(1 + 2 = 3\). Add fractions: \(\frac{2}{5} + \frac{1}{5} = \frac{3}{5}\). Result: \(3\frac{3}{5}\).

  3. C. \(5\)

    Add whole parts: \(3 + 1 = 4\). Add fractions: \(\frac{1}{4} + \frac{3}{4} = 1\). Total: \(4 + 1 = 5\).

  4. C. \(4\)

    Add whole parts: \(2 + 1 = 3\). Add fractions: \(\frac{2}{3} + \frac{1}{3} = 1\). Total: \(3 + 1 = 4\).

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

    Add whole parts: \(1 + 2 = 3\). Add fractions: \(\frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2}\). Result: \(3\frac{1}{2}\).

  6. D. \(2\frac{1}{4}\) cups

    Convert \(1\frac{1}{2}\) to \(\frac{6}{4}\). Add: \(\frac{6}{4} + \frac{3}{4} = \frac{9}{4} = 2\frac{1}{4}\) cups.

  7. D. \(6\) m

    Add whole parts: \(3 + 2 = 5\). Add fractions: \(\frac{1}{2} + \frac{1}{2} = 1\). Total: \(5 + 1 = 6\) m.

  8. B. \(4\)

    Add whole parts: \(2 + 1 = 3\). Add fractions: \(\frac{1}{3} + \frac{2}{3} = 1\). Total: \(3 + 1 = 4\).

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