Testinar Grade 4 math

Adding and Subtracting Mixed Numbers

Students will add and subtract mixed numbers with like denominators using equivalent fractions and decomposition.

CH04-04 Fraction Addition and Subtraction
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 \(2\frac{3}{5}+1\frac{1}{5}\)?

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

  2. Sam has \(1\frac{2}{4}\) yards of red ribbon and \(2\frac{1}{4}\) yards of blue ribbon. How many yards of ribbon does Sam have in total?

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

  3. What is \(3\frac{4}{6}+1\frac{2}{6}\)?

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

  4. Mia mixed \(2\frac{1}{3}\) cups of flour with \(1\frac{1}{3}\) cups of sugar. What is the total amount?

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

  5. What is the sum shown by the bar diagrams above?

    Adding and Subtracting Mixed Numbers visual for G4-C04-T04-Q005
    1. \(3\frac{7}{8}\)
    2. \(3\frac{6}{8}\)
    3. \(4\frac{1}{8}\)
    4. \(4\frac{7}{8}\)

  6. What is \(1\frac{3}{10}+2\frac{5}{10}\)?

    1. \(3\frac{6}{10}\)
    2. \(3\frac{7}{10}\)
    3. \(3\frac{8}{10}\)
    4. \(4\frac{2}{10}\)

  7. Noah had \(3\frac{2}{6}\) meters of string. He added \(1\frac{4}{6}\) meters more. How long is the string now?

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

  8. Ava made a necklace. First she used \(1\frac{4}{5}\) meters of string. Then she used \(2\frac{1}{5}\) more meters. What is the total length?

    1. \(3\frac{4}{5}\) meters
    2. \(3\frac{3}{5}\) meters
    3. \(4\) meters
    4. \(2\frac{5}{5}\) meters
Teacher and parent reference

Answer key and explanations

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

    Add the wholes: \(2+1=3\). Add the fractions: \(\frac{3}{5}+\frac{1}{5}=\frac{4}{5}\). Put them together: \(\mathbf{3\frac{4}{5}}\).

  2. C. \(3\frac{3}{4}\) yards

    Add the wholes: \(1+2=3\). Add the fractions: \(\frac{2}{4}+\frac{1}{4}=\frac{3}{4}\). The total is \(\mathbf{3\frac{3}{4}}\) yards.

  3. C. \(5\)

    Add the wholes: \(3+1=4\). Add the fractions: \(\frac{4}{6}+\frac{2}{6}=\frac{6}{6}=1\). Since \(\frac{6}{6}\) is a whole, combine: \(4+1=\mathbf{5}\).

  4. B. \(3\frac{2}{3}\) cups

    Add the wholes: \(2+1=3\). Add the fractions: \(\frac{1}{3}+\frac{1}{3}=\frac{2}{3}\). The total is \(\mathbf{3\frac{2}{3}}\) cups.

  5. A. \(3\frac{7}{8}\)

    Add the wholes: \(2+1=3\). Add the fractions: \(\frac{3}{8}+\frac{4}{8}=\frac{7}{8}\). The sum is \(\mathbf{3\frac{7}{8}}\).

  6. C. \(3\frac{8}{10}\)

    Add the wholes: \(1+2=3\). Add the fractions: \(\frac{3}{10}+\frac{5}{10}=\frac{8}{10}\). The sum is \(\mathbf{3\frac{8}{10}}\).

  7. C. \(5\) meters

    Add the wholes: \(3+1=4\). Add the fractions: \(\frac{2}{6}+\frac{4}{6}=\frac{6}{6}=1\). Combine: \(4+1=\mathbf{5}\) meters.

  8. C. \(4\) meters

    Add the wholes: \(1+2=3\). Add the fractions: \(\frac{4}{5}+\frac{1}{5}=\frac{5}{5}=1\). Combine: \(3+1=\mathbf{4}\) meters.

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