5th Grade Dividing Unit Fractions and Whole Numbers Test with Point Values (PDF)

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This divide unit fractions test for 5th Grade covers dividing unit fractions and whole numbers (Common Core 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c), with a free PDF to print.

This 45-minute test covers dividing unit fractions by whole numbers and whole numbers by unit fractions (5.NF.B.7). There are 9 questions worth 20 points in all. Show your work, include units in word problems, and check your answers.

Time and points

About this test
  • Grade: Grade 5
  • Chapter: Dividing Unit Fractions and Whole Numbers
  • Standards: 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c
  • Time: 45 minutes
  • Total: 20 points

Divide unit fractions test: questions

Question 1 – Unit fractions divided by whole numbers [2 pts]

Answer each part.

  1. \(\frac{1}{3}\div2\) (1 point)
  2. \(\frac{1}{5}\div3\) (1 point)

Question 2 – Whole numbers divided by unit fractions [2 pts]

Answer each part.

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

Question 3 – Read the model [2 pts]

Solve. The model shows one half of a bar cut into equal pieces. Write a division equation for the model and find the quotient.

One whole cut into 2 equal parts1/2Cut that part into 4 equal pieces
A bar and its first half.

Question 4 – Compare two quotients [2 pts]

Solve. Which is greater, \(6\div\frac{1}{4}\) or \(6\div\frac{1}{3}\)? Show the value of each.

Question 5 – Missing dividend [2 pts]

Find the number that makes the equation true: \(\text{?}\div3=\frac{1}{15}\). Show how you know.

Question 6 – Number line jumps [2 pts]

Solve. The number line shows jumps of equal size from 0 to 3. Write a division equation and find the quotient.

0123Each jump is 1/2
Equal jumps from 0 to 3.

Question 7 – Slices of cheese [2 pts]

Solve. Liam has \(\frac{1}{4}\) pound of cheese. He cuts it into 3 equal slices. How much does each slice weigh?

One whole cut into 4 equal parts1/4Cut that part into 3 equal pieces
One fourth pound of cheese cut into slices.

Question 8 – Servings of rice [3 pts]

Solve. Aisha has 5 cups of rice. Each serving is \(\frac{1}{3}\) cup.

  1. How many servings can she make? (1 point)
  2. Her family eats 6 servings. How many servings are left? (1 point)
  3. How many cups of rice are left? (1 point)

Question 9 – Juice bottles [3 pts]

Solve. Mei has \(\frac{1}{2}\) gallon of juice. A cooler holds 2 gallons of water.

  1. Mei pours the juice equally into 4 bottles. How much juice is in each bottle? (1 point)
  2. Noah fills \(\frac{1}{8}\)-gallon bottles from the cooler. How many bottles can he fill? (1 point)
  3. Explain why the answer to part (a) is less than \(\frac{1}{2}\) but the answer to part (b) is greater than 2. (1 point)

See the solutions: Dividing Unit Fractions and Whole Numbers test solutions

Key facts behind this divide unit fractions test

Key facts
  • A unit fraction has a numerator of 1, like 1/4 or 1/8.
  • A unit fraction divided by a whole number n is 1 over (denominator times n).
  • A whole number divided by a unit fraction 1/b equals the whole number times b.
  • Check any quotient by multiplying it by the divisor to get the dividend.
  • Bar models and number lines show how many pieces there are.

How to use this divide unit fractions test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 5 chapters: Grade 5 math.

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5th Grade Dividing Unit Fractions and Whole Numbers Test with Point Values

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