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Skills Covered

  • See a fraction as copies of a unit fraction: 5/4 = 5 × 1/4
  • Multiply a whole number by a unit fraction with jumps on a number line
  • Find how many unit fractions make 1 whole: 4 × 1/4 = 1
  • Multiply a whole number by a fraction, in either order, and write the product as a mixed number
  • Name the two whole numbers a product falls between, and tell whether it is more or less than the whole number
  • Solve story problems with an equation

How to Use This Pack

Five pages on multiplying a fraction by a whole number. Page 1 shows fractions on fraction strips as copies of a unit fraction (5/4 is 5 fourths, so 5/4 = 5 × 1/4), then goes both ways: 7/3 = 7 × 1/3 and 5 × 1/6 = 5/6. Page 2 multiplies a whole number by a unit fraction with jumps on number lines (5 jumps of 1/3 land on 5/3), then finds how many unit fractions make 1 or 2. Page 3 multiplies by any fraction: 3 × 2/5 is 3 strips with 2 fifths shaded, so it is 6 × 1/5 = 6/5, then writes products as mixed numbers, with the whole number first or second. Page 4 names the two whole numbers a product falls between, then decides without multiplying whether a product is more than, less than, or equal to the whole number, and why. Page 5 has story problems about recipes, laps, ribbon, and plants: write an equation, then solve.

In the Classroom

Before page 1, have students count unit fractions out loud: "one fourth, two fourths, three fourths, four fourths, five fourths." On page 2, ask where 6 jumps of 1/3 will land before anyone draws them. For page 4, take a vote before multiplying: is 6 × 3/4 more or less than 6?

At Home

Cook with your child: if one batch needs 3/4 cup of milk, how much do 3 batches need? Count it out with a 1/4 cup measure, one scoop at a time.

Tips for Success

  • A fraction is copies of a unit fraction: 3/5 is 3 copies of 1/5
  • To multiply a whole number by a fraction, multiply the whole number by the numerator and keep the denominator
  • The order does not matter: 3 × 2/5 = 2/5 × 3
  • Write a product greater than 1 as a mixed number to see which two whole numbers it is between
  • Multiplying by a fraction less than 1 gives less than the whole number

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 4.NF.B.4a See a fraction a/b as a copies of 1/b, such as 7/3 = 7 × (1/3), and show it with a fraction model.
  • 4.NF.B.4b Find a whole number times a fraction by counting unit fractions: 4 × (2/3) is 8 copies of 1/3, which is 8/3.
  • 4.NF.B.4c Solve story problems with a whole number times a fraction, using models and equations, and name the two whole numbers the answer falls between.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Multiplying Fractions by Whole Numbers

4th Grade

A 5-page fractions pack for 4th grade. See a fraction as copies of a unit fraction on fraction strips (5/4 = 5 × 1/4), multiply a whole number by a unit fraction with jumps on number lines, and find how many unit fractions make 1 or 2. Multiply a whole number by any fraction, with the whole number first or second, write the product as a mixed number, name the two whole numbers it falls between, tell whether it is more or less than the whole number, and solve story problems with an equation. Every page comes in color and in black and white. Answer keys included.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Fractions as copies of a unit fraction on fraction strips, and jumps on number lines
  • A whole number times a fraction, mixed numbers, and which two whole numbers a product is between
  • More or less than the whole number, and story problems with equations
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Free to print and share

This worksheet is free to download, print, copy, and hand out in your classroom or at home. You do not need to create an account, and there are no watermarks on the PDF.