Testinar Grade 3 math

Equivalence of Fractions

Students will explain fraction equivalence and compare fractions using visual models and number-line reasoning.

CH04-01 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. Which fraction is equivalent to \(\frac{1}{2}\)?

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

  2. Look at the fraction bars. Which fraction is equivalent to \(\frac{1}{3}\)?

    Equivalence of Fractions visual for G3-C04-T01-Q002
    1. \(\frac{1}{4}\)
    2. \(\frac{2}{6}\)
    3. \(\frac{2}{4}\)
    4. \(\frac{1}{2}\)

  3. Which fraction is equivalent to \(\frac{2}{3}\)?

    Equivalence of Fractions visual for G3-C04-T01-Q003
    1. \(\frac{4}{6}\)
    2. \(\frac{1}{3}\)
    3. \(\frac{2}{4}\)
    4. \(\frac{3}{6}\)

  4. Look at the bars. Which statement is NOT true?

    Equivalence of Fractions visual for G3-C04-T01-Q004
    1. The first and second are equivalent
    2. The first bar shows \(\frac{1}{2}\)
    3. All three show the same amount
    4. The third bar is smaller

  5. Look at the pies. Which statement is true?

    Equivalence of Fractions visual for G3-C04-T01-Q005
    1. They show the same amount
    2. The left pie is larger
    3. The right pie is larger
    4. They are not equal

  6. Which fraction is equivalent to \(\frac{3}{4}\)?

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

  7. Lily has 2 equal pieces of a sandwich. She eats 1 piece. What fraction did she eat?

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

  8. Which fraction is equivalent to \(\frac{1}{4}\)?

    Equivalence of Fractions visual for G3-C04-T01-Q009
    1. \(\frac{2}{8}\)
    2. \(\frac{3}{8}\)
    3. \(\frac{1}{3}\)
    4. \(\frac{2}{4}\)
Teacher and parent reference

Answer key and explanations

  1. B. \(\frac{2}{4}\)

    \(\frac{1}{2}\) and \(\frac{2}{4}\) represent the same amount. Both show half of a whole.

  2. B. \(\frac{2}{6}\)

    The shaded regions match. \(\frac{1}{3}\) and \(\frac{2}{6}\) are equivalent.

  3. A. \(\frac{4}{6}\)

    \(\frac{2}{3}\) and \(\frac{4}{6}\) represent the same amount. Both show two-thirds.

  4. C. All three show the same amount

    The first and second bars are equivalent. But the third bar shows \(\frac{1}{3}\), which is larger than \(\frac{1}{2}\), so all three do NOT show the same amount. Answer C is false.

  5. A. They show the same amount

    Both pies show the same shaded region. \(\frac{1}{4}\) and \(\frac{2}{8}\) are equivalent.

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

    \(\frac{3}{4}\) and \(\frac{6}{8}\) both show three-fourths of a whole.

  7. C. \(\frac{1}{2}\)

    Lily ate 1 out of 2 pieces, which is \(\frac{1}{2}\).

  8. A. \(\frac{2}{8}\)

    \(\frac{1}{4}\) and \(\frac{2}{8}\) both show one-quarter of a whole.

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