Testinar Grade 5 math

Fractions as Division

Students will interpret fractions as division and connect quotients to fraction notation.

CH05-01 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. The model shows \(\frac{1}{2}\) of a whole split into 2 equal parts. What fraction of the whole is each small part?

    Using Visual Models for Fraction Division visual for G5-C05-T03-Q001
    1. \(\frac{1}{4}\)
    2. \(\frac{1}{2}\)
    3. \(\frac{1}{3}\)
    4. \(\frac{1}{5}\)
  2. The model shows \(\frac{1}{3}\) of a whole split into 2 equal parts. What fraction of the whole is each small part?

    Using Visual Models for Fraction Division visual for G5-C05-T03-Q002
    1. \(\frac{1}{3}\)
    2. \(\frac{1}{6}\)
    3. \(\frac{1}{2}\)
    4. \(\frac{1}{5}\)
  3. The model shows \(\frac{1}{4}\) of a whole split into 2 equal parts. What fraction of the whole is each small part?

    Using Visual Models for Fraction Division visual for G5-C05-T03-Q003
    1. \(\frac{1}{4}\)
    2. \(\frac{1}{2}\)
    3. \(\frac{1}{8}\)
    4. \(\frac{1}{6}\)
  4. The model shows \(\frac{1}{5}\) of a whole split into 2 equal parts. What fraction of the whole is each small part?

    Using Visual Models for Fraction Division visual for G5-C05-T03-Q004
    1. \(\frac{1}{5}\)
    2. \(\frac{1}{2}\)
    3. \(\frac{1}{7}\)
    4. \(\frac{1}{10}\)
  5. The model shows \(\frac{1}{6}\) of a whole split into 2 equal parts. What fraction of the whole is each small part?

    Using Visual Models for Fraction Division visual for G5-C05-T03-Q005
    1. \(\frac{1}{12}\)
    2. \(\frac{1}{6}\)
    3. \(\frac{1}{2}\)
    4. \(\frac{1}{8}\)
  6. The model shows \(\frac{1}{8}\) of a whole split into 2 equal parts. What fraction of the whole is each small part?

    Using Visual Models for Fraction Division visual for G5-C05-T03-Q006
    1. \(\frac{1}{8}\)
    2. \(\frac{1}{16}\)
    3. \(\frac{1}{2}\)
    4. \(\frac{1}{10}\)
  7. The model shows \(\frac{1}{3}\) of a whole split into 3 equal parts. What fraction of the whole is each small part?

    Using Visual Models for Fraction Division visual for G5-C05-T03-Q007
    1. \(\frac{1}{3}\)
    2. \(\frac{1}{6}\)
    3. \(\frac{1}{9}\)
    4. \(\frac{1}{2}\)
  8. The model shows \(\frac{1}{5}\) of a whole split into 3 equal parts. What fraction of the whole is each small part?

    Using Visual Models for Fraction Division visual for G5-C05-T03-Q009
    1. \(\frac{1}{15}\)
    2. \(\frac{1}{5}\)
    3. \(\frac{1}{3}\)
    4. \(\frac{1}{8}\)
Teacher and parent reference

Answer key and explanations

  1. A. \(\frac{1}{4}\)

    Start with one unit fraction, \(\frac{1}{2}\), and share it into 2 equal parts. Each part is \(\frac{1}{2}\div 2=\frac{1}{4}\) of the whole.

  2. B. \(\frac{1}{6}\)

    Start with one unit fraction, \(\frac{1}{3}\), and share it into 2 equal parts. Each part is \(\frac{1}{3}\div 2=\frac{1}{6}\) of the whole.

  3. C. \(\frac{1}{8}\)

    Start with one unit fraction, \(\frac{1}{4}\), and share it into 2 equal parts. Each part is \(\frac{1}{4}\div 2=\frac{1}{8}\) of the whole.

  4. D. \(\frac{1}{10}\)

    Start with one unit fraction, \(\frac{1}{5}\), and share it into 2 equal parts. Each part is \(\frac{1}{5}\div 2=\frac{1}{10}\) of the whole.

  5. A. \(\frac{1}{12}\)

    Start with one unit fraction, \(\frac{1}{6}\), and share it into 2 equal parts. Each part is \(\frac{1}{6}\div 2=\frac{1}{12}\) of the whole.

  6. B. \(\frac{1}{16}\)

    Start with one unit fraction, \(\frac{1}{8}\), and share it into 2 equal parts. Each part is \(\frac{1}{8}\div 2=\frac{1}{16}\) of the whole.

  7. C. \(\frac{1}{9}\)

    Start with one unit fraction, \(\frac{1}{3}\), and share it into 3 equal parts. Each part is \(\frac{1}{3}\div 3=\frac{1}{9}\) of the whole.

  8. A. \(\frac{1}{15}\)

    Start with one unit fraction, \(\frac{1}{5}\), and share it into 3 equal parts. Each part is \(\frac{1}{5}\div 3=\frac{1}{15}\) of the whole.

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