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Dividing Unit Fractions and Whole Numbers: Grade 5 Math Worksheet – PDF Download

    Dividing Unit Fractions and Whole Numbers – Grade 5 math worksheet

    This grade 5 divide fractions worksheet gives 22 problems on dividing unit fractions and whole numbers, ordered from easy to hard, with a separate answer key.

    These 22 problems practice Common Core 5.NF.B.7: dividing a unit fraction by a non-zero whole number and a whole number by a unit fraction. Use bar models and number lines, write division equations, and check with multiplication.

    Start with the pictures, then move to equations and missing numbers. The last six problems are word problems. Write every answer in simplest form.

    Grade 5Common Core: 5.NF.B.7

    Grade 5 Divide Fractions Worksheet: problems 1–5

    Problem 1: A seventh split in two

    Find \(\frac{1}{7} : 2\). The bar shows one whole cut into 14 equal parts, with one seventh shaded.

    One seventh is shaded.

    Problem 2: Fifths split in two

    Find \(\frac{1}{5} : 2\).

    Problem 3: Fifths split in three

    Find \(\frac{1}{5} : 3\).

    Problem 4: More unit fraction quotients

    Find each quotient.

    1. \(\frac{1}{6} : 4\)
    2. \(\frac{1}{8} : 2\)
    3. \(\frac{1}{10} : 5\)

    Problem 5: Check by multiplying

    Maya says \(\frac{1}{4} : 3 = \frac{1}{12}\). Write a multiplication equation that checks her answer, and tell whether she is right.

    Grade 5 Divide Fractions Worksheet: problems 6–10

    Problem 6: Wholes and sixths

    Two wholes are cut into sixths. Find \(2 : \frac{1}{6}\).

    Whole 1Whole 22 wholes, 6 pieces in each
    Two wholes cut into sixths.

    Problem 7: Wholes and fifths

    Find \(3 : \frac{1}{5}\) using the model.

    Whole 1Whole 2Whole 33 wholes, 5 pieces in each
    Three wholes cut into fifths.

    Problem 8: Dividing by one half

    Find each quotient.

    1. \(5 : \frac{1}{2}\)
    2. \(7 : \frac{1}{2}\)

    Problem 9: Whole numbers by unit fractions

    Find each quotient.

    1. \(6 : \frac{1}{5}\)
    2. \(9 : \frac{1}{3}\)
    3. \(8 : \frac{1}{10}\)

    Problem 10: Hops on a number line

    How many hops of \(\frac{1}{3}\) fit between \(0\) and \(2\)? Write the division equation.

    012
    Number line marked in thirds.

    Grade 5 Divide Fractions Worksheet: problems 11–15

    Problem 11: Write the division equation

    Write a division equation for the picture and solve it.

    1/41/41/41/41/41/41/41/42 wholes
    Two wholes cut into equal parts.

    Problem 12: Name the unit fraction

    The bar shows one whole cut into 6 equal parts, with a third shaded and split into 2 pieces. Write a division equation for the shaded third and solve it.

    1 whole1/3 split into 2
    One third split in two.

    Problem 13: Missing divisor, unit fractions

    Find each missing number.

    1. \(\frac{1}{5} : \_\_\_ = \frac{1}{20}\)
    2. \(\frac{1}{3} : \_\_\_ = \frac{1}{18}\)

    Problem 14: Missing number, whole numbers

    Find each missing number.

    1. \(6 : \_\_\_ = 24\)
    2. \(\_\_\_ : \frac{1}{5} = 35\)

    Problem 15: Compare two quotients

    Which is greater, \(\frac{1}{2} : 4\) or \(4 : \frac{1}{2}\)? Find both quotients.

    Grade 5 Divide Fractions Worksheet: problems 16–20

    Problem 16: Pattern with fourths

    Find \(1 : \frac{1}{4}\), \(2 : \frac{1}{4}\), \(3 : \frac{1}{4}\) and \(4 : \frac{1}{4}\). Describe the pattern.

    Problem 17: Sports drink

    Mei has \(\frac{1}{6}\) gallon of sports drink. She pours it equally into 4 bottles. How much is in each bottle?

    One sixth gallon in 4 equal bottles.

    Problem 18: Leftover pizza

    One third of a pizza is left. Jamal and Sofia share it equally. What fraction of the whole pizza does each get?

    Problem 19: Twine pieces

    Aisha has 4 yards of twine. She cuts it into pieces that are \(\frac{1}{5}\) yard long. How many pieces does she cut?

    Problem 20: Oatmeal servings

    Liam has \(7\) cups of oats. Each serving is \(\frac{1}{4}\) cup. How many servings can he make?

    Grade 5 Divide Fractions Worksheet: problems 21–22

    Problem 21: Fudge pieces

    A pan of fudge weighs \(\frac{1}{6}\) pound. Jamal splits it equally among 5 friends. How many pounds does each friend get?

    Problem 22: Birdseed

    Ethan has 3 pounds of birdseed. He fills feeders that each hold \(\frac{1}{2}\) pound. He then splits \(\frac{1}{4}\) pound of sunflower seeds equally among all the feeders. How many pounds of sunflower seeds go into each feeder?

    Dividing Unit Fractions and Whole Numbers: Grade 5 worksheet answer key

    How to use this grade 5 divide fractions worksheet

    Print this grade 5 divide fractions worksheet as a PDF, solve every problem on paper, then compare with the answer key.

    Next step after this grade 5 divide fractions worksheet: Dividing Unit Fractions and Whole Numbers worksheet answer key

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    Grade 5 Dividing Unit Fractions and Whole Numbers worksheet

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