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Numbers and Operations Fractions: Multiplying Fractions CCSS 5.NF.4 Facts & Worksheets

Multiplying fractions by either a fraction of a whole number is a relatively straightforward process.

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Worksheets /Math /Grade 5 (ages 10-11) /Numbers and Operations Fractions: Multiplying Fractions CCSS 5.NF.4 Facts & Worksheets

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Multiplying fractions by either a fraction of a whole number is a relatively straightforward process. When multiplying a fraction by a fraction, we simply multiply all the numerators together, and we then multiply the denominators together, and the result is our product fraction.

See the fact file below for more information on the multiplying fractions or alternatively, you can download our 29-page Numbers and Operations Fractions: Multiplying Fractions CCSS 5.NF.4 worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE:

  • At the end of this module, students will be able to multiply fractions with other fractions and whole numbers; students will also learn how to use bar models and the number line when multiplying fractions, and students will be able to get the area of a rectangle with fractional side lengths.

A NOTE FOR THE TEACHER:

  • When multiplying fractions, take note of the following:
    • When multiplying fractions with fractions, simply multiply the numerators and denominators separately
    • When in doubt, try to visualize by using a bar model or number line
    • For area word problems, try to draw out how the figure will look like

THEORY:

  • Multiplying fractions by either a fraction of a whole number is a relatively straightforward process. When multiplying a fraction by a fraction, we simply multiply all the numerators together, and we then multiply the denominators together, and the result is our product fraction. When multiplying a fraction by a whole number, we simply multiply the whole number to the numerator of the fraction to get our product. This is illustrated in the following examples.
  • One important thing to take note of is when multiplying using fractions, we can replace the multiplication sign (“x”) with the word “of” since we’re technically taking a part of another fraction/whole number.
  • Case 1: Multiplying a fraction by a fraction.
    • Say we want to get 1/2 of 3/4, we can write this as 1/2 x 3/4:

  • We can verify that the answer is 3/8 by using bar models.
  • We start by drawing the bar model for one fraction, then drawing the bar model of the other fraction on top of the bar model of the first fraction.
  • The orange segment is the intersection of the fractions and is also the product; notice how the product is the same as 3/8. This is illustrated below:

  • Case 2: Multiplying a fraction by a whole number
    • Say we want to get 1/3 of 5; we can simply write this as 1/3 x 5.
    • We simply multiply the whole number to the numerator because we can rewrite 5 as a fraction (5/1). In this case, we now have two fractions, and we can follow the steps we did in case 1, but as a shortcut, again, we can simply multiply the whole number to the numerator

  • We can again visualize these using bar models, where we have 5 whole squares, and we shade 1/3 of each square. Notice that when we rearrange the shaded regions, we also get 1 and 2/3, which is the same result we got from simply multiplying the fraction by the whole number

  • Aside from using bar models, we can use the number line to visualize the product of a fraction and a whole number. Take our previous example, 1/3 x 5.
  • Recall that when we multiply, we move to the right of the number line starting from zero. 1/3 x 5 is illustrated as follows:

  • One of the multiplying fractions applications is getting the area of a four-sided figure with fractional side lengths. Recall that the area of a four-sided figure is the product of its length and width.
  • Take, for example, the figure below with its given dimensions:

  • To get the area of the purple portion, we simply multiply 3/5 and 3 to get 9/5. Don’t forget to write down its units, thus making the final answer 9/5 m2

Numbers and Operations Fractions: Multiplying Fractions CCSS 5.NF.4 Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations Fractions: Multiplying Fractions across 29 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 5.NF.4 for Numbers and Operations Fractions: Multiplying Fractions.

Table of contents:

  • A lesson plan
  • Warm-up activity
  • Math theory explained
  • Assisted learning activities
  • Independent learning activities
  • Extension activities and games
  • Answer keys

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Use With Any Curriculum

These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.

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