Testinar Grade 4 math

Adding and Subtracting Fractions with Like Denominators

Students will add and subtract fractions with like denominators by combining or separating equal-sized parts.

CH04-02 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 \(\frac{3}{8}+\frac{2}{8}\)?

    1. \(\frac{1}{8}\)
    2. \(\frac{5}{8}\)
    3. \(\frac{5}{16}\)
    4. \(\frac{6}{8}\)

  2. Sam ate \(\frac{2}{6}\) of a pizza and Ming ate \(\frac{3}{6}\) of the same pizza. How much of the pizza did they eat together?

    1. \(\frac{5}{6}\)
    2. \(\frac{5}{12}\)
    3. \(\frac{1}{6}\)
    4. \(\frac{6}{6}\)

  3. The fraction bar below shows \(\frac{1}{4}+\frac{2}{4}\). Which description matches it?

    Adding and Subtracting Fractions with Like Denominators visual for G4-C04-T02-Q003
    1. Shows 3 shaded parts out of 4
    2. Shows 2 shaded parts out of 8
    3. Shows 3 shaded parts out of 3
    4. Shows 1 shaded part out of 4

  4. What is \(\frac{4}{10}+\frac{5}{10}\)?

    1. \(\frac{9}{20}\)
    2. \(\frac{9}{10}\)
    3. \(\frac{1}{10}\)
    4. \(1\frac{0}{10}\)

  5. Ava has \(\frac{2}{5}\) of a candy bar. Diego gives her \(\frac{2}{5}\) more. How much candy does Ava have now?

    1. \(\frac{4}{10}\)
    2. \(\frac{4}{5}\)
    3. \(1\frac{1}{5}\)
    4. \(\frac{2}{10}\)

  6. What is \(\frac{5}{6}-\frac{2}{6}\)?

    1. \(\frac{3}{6}\)
    2. \(\frac{7}{6}\)
    3. \(\frac{2}{6}\)
    4. \(\frac{3}{12}\)

  7. A number line shows hops from 0 to \(\frac{2}{3}\), then another hop to \(\frac{4}{3}\). What operation does this show?

    Adding and Subtracting Fractions with Like Denominators visual for G4-C04-T02-Q007
    1. \(\frac{2}{3}+\frac{2}{3}\)
    2. \(\frac{1}{3}+\frac{1}{3}\)
    3. \(\frac{3}{3}-\frac{1}{3}\)
    4. \(\frac{4}{3}-\frac{1}{3}\)

  8. Mia jogged \(\frac{3}{8}\) of a mile. Then she jogged \(\frac{4}{8}\) more. How far did she jog in total?

    1. \(\frac{7}{8}\) mile
    2. \(\frac{7}{16}\) mile
    3. \(1\frac{1}{8}\) miles
    4. \(\frac{1}{8}\) mile
Teacher and parent reference

Answer key and explanations

  1. B. \(\frac{5}{8}\)

    Same denominator means we just combine numerators: \(3 + 2 = 5\), so \(\mathbf{\frac{5}{8}}\).

  2. A. \(\frac{5}{6}\)

    Sam and Ming both ate pieces with the same-sized slices. Together: \(2 + 3 = 5\) slices, so \(\mathbf{\frac{5}{6}}\) of the pizza.

  3. A. Shows 3 shaded parts out of 4

    The bar shows 4 equal parts. One part shaded for \(\frac{1}{4}\), then 2 more shaded for \(\frac{2}{4}\). That makes 3 shaded parts: \(\mathbf{\frac{3}{4}}\).

  4. B. \(\frac{9}{10}\)

    Same denominator, same rule: add the numerators (\(4 + 5 = 9\)), keep the denominator. Answer: \(\mathbf{\frac{9}{10}}\).

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

    Ava starts with \(\frac{2}{5}\) and Diego adds \(\frac{2}{5}\) more. With the same-size fifths, we get \(2 + 2 = 4\) fifths: \(\mathbf{\frac{4}{5}}\).

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

    Same denominator for subtraction too! Just subtract numerators: \(5 - 2 = 3\), keep the denominator. Result: \(\mathbf{\frac{3}{6}}\).

  7. A. \(\frac{2}{3}+\frac{2}{3}\)

    The number line starts at 0, hops right by \(\frac{2}{3}\), then hops right by \(\frac{2}{3}\) again, landing at \(\frac{4}{3}\). That's \(\frac{2}{3}+\frac{2}{3}=\frac{4}{3}\).

  8. A. \(\frac{7}{8}\) mile

    Mia jogged two sections: \(\frac{3}{8}\) and then \(\frac{4}{8}\) more. Combining same-size eighths: \(3 + 4 = 7\), so \(\mathbf{\frac{7}{8}}\) mile.

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