Testinar Grade 5 math

Mixed Operations with Fractions

Students will choose and apply fraction operations in mixed real-world situations.

CH06-04 Fraction Division
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. Miguel has \(\frac{3}{8}\) of a pizza and Rosa has \(\frac{2}{5}\) of a pizza of the same size. Who has more pizza?

    1. Miguel
    2. Rosa
    3. They have the same amount
    4. Cannot be determined

  2. Sarah ate \(\frac{1}{4}\) of a granola bar. Her brother ate \(\frac{1}{4}\) of the same bar. How much of the bar did they eat together?

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

  3. A recipe calls for \(\frac{2}{3}\) cup of sugar and \(\frac{1}{3}\) cup of flour. What is the total amount of dry ingredients measured?

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

  4. Tom jogged \(\frac{3}{5}\) of a mile on Monday and \(\frac{1}{5}\) of a mile on Tuesday. How far did he jog in total?

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

  5. A paint can is \(\frac{5}{6}\) full. If \(\frac{2}{6}\) is used to paint a door, how much paint remains?

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

  6. Ella has \(\frac{7}{8}\) of a yard of ribbon. She uses \(\frac{3}{8}\) for a gift. How much ribbon does she have left?

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

  7. A class fills a water jug. One container holds \(\frac{1}{2}\) of the jug and another container holds \(\frac{1}{2}\) of the same jug. Together, how much do they hold?

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

  8. A recipe uses \(\frac{3}{4}\) cup of milk. If you reduce it by \(\frac{1}{4}\) cup, how much milk do you use?

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

Answer key and explanations

  1. B. Rosa

    To compare the fractions, change them to equivalent fractions with the same denominator. The least common denominator of \(8\) and \(5\) is \(40\). \( \frac{3}{8} = \frac{15}{40} \quadand\quad \frac{2}{5} = \frac{16}{40} \). Since \(16 > 15\), \(\frac{2}{5} > \frac{3}{8}\), so Rosa has more pizza.

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

    \(\frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}\). Both ate equal amounts, so together they ate half the bar.

  3. C. \(1\) cup

    \(\frac{2}{3} + \frac{1}{3} = \frac{3}{3} = 1\) cup. Since the denominators are the same, add the numerators directly.

  4. C. \(\frac{4}{5}\) mile

    \(\frac{3}{5} + \frac{1}{5} = \frac{4}{5}\) mile. Add numerators when denominators match.

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

    \(\frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}\). Subtract the numerators when denominators are the same, then simplify.

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

    \(\frac{7}{8} - \frac{3}{8} = \frac{4}{8}\). This simplifies to \(\frac{1}{2}\) yard of ribbon.

  7. C. \(1\) full jug

    \(\frac{1}{2} + \frac{1}{2} = 1\). Two equal halves make one whole.

  8. B. \(\frac{1}{2}\) cup

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

Free Testinar sample Reviewed November 6, 2026 testinar.com
Page UP