4th Grade Multiplying a Fraction by a Whole Number Test with Point Values (PDF)

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This multiply fraction whole test for 4th Grade covers multiplying a fraction by a whole number (Common Core 4.NF.B.4a, 4.NF.B.4b, 4.NF.B.4c), with a free PDF to print.

This test checks multiplying a fraction by a whole number with unit fractions, number lines and word problems. It has 9 questions worth 20 points. Allow 45 minutes and no calculator.

Time and points

About this test
  • Grade: Grade 4
  • Chapter: Multiplying a Fraction by a Whole Number
  • Standards: 4.NF.B.4a, 4.NF.B.4b, 4.NF.B.4c
  • Time: 45 minutes
  • Total: 20 points

Multiply fraction whole test: questions

Question 1 – Unit fractions [2 pts]

The strip shows \(\frac{5}{6}\).

A strip cut into sixths.
  1. Write \(\frac{5}{6}\) as a multiple of a unit fraction. (1 point)
  2. Write \(\frac{5}{6}\) as a sum of unit fractions. (1 point)

Question 2 – Unit fraction products [2 pts]

Find each product.

  1. \(3 \times \frac{1}{8}\) (1 point)
  2. \(7 \times \frac{1}{5}\) as a fraction and a mixed number (1 point)

Question 3 – Multiply by a fraction [2 pts]

Find \(4 \times \frac{3}{5}\). Write the answer as a fraction and as a mixed number.

Question 4 – Jumps on a number line [2 pts]

The number line shows equal jumps from 0.

01233/43/43/4
Three jumps of \(\frac{3}{4}\).

Write a multiplication equation for the jumps. Find the product.

Question 5 – Larger product [2 pts]

Find \(8 \times \frac{5}{12}\). Write the answer as a mixed number.

Question 6 – Morning runs [3 pts]

Maya runs \(\frac{5}{6}\) mile every morning for 4 mornings.

  1. Write a multiplication equation for the total distance. (1 point)
  2. Write the total as a mixed number. (1 point)
  3. Did she run more than 3 miles? Explain. (1 point)

Question 7 – Batches of muffins [3 pts]

Each batch of muffins uses \(\frac{3}{4}\) cup of flour. A baker makes 6 batches.

? cups of flour3/43/43/43/43/43/4
A tape diagram of 6 batches.
  1. Write a multiplication equation for the flour needed. (1 point)
  2. How many cups of flour are needed? Write a mixed number. (1 point)
  3. She has a 5-cup bag of flour. How much flour is left? (1 point)

Question 8 – Products for nine fourths [2 pts]

Write \(\frac{9}{4}\) as a product of a whole number and a fraction in two different ways.

Question 9 – Diego's mistake [2 pts]

Diego says \(3 \times \frac{2}{5} = \frac{6}{15}\). Explain his mistake. Then find the correct product.

See the solutions: Multiplying a Fraction by a Whole Number test solutions

Key facts behind this multiply fraction whole test

Key facts
  • A fraction a/b is a multiple of the unit fraction 1/b, so a/b = a x 1/b.
  • n x (a/b) = (n x a)/b. Multiply the whole number by the numerator and keep the denominator.
  • Repeated jumps on a number line show the same product.
  • Write improper fraction products as mixed numbers when it helps.
  • Equal groups in word problems signal fraction times whole number.

How to use this multiply fraction whole 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 4 chapters: Grade 4 math.

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4th Grade Multiplying a Fraction by a Whole Number Test with Point Values

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