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Numbers and Operations – Fractions: Multiples of Fractions CCSS 4.NF.4b Facts & Worksheets

Since we already know that a unit fraction, 1/b, has a set of multiples: 1/b, 2/b, 3/b, 4/b, 5/b,..., we can confirm that any numerator greater than 1 can have multiples as well.

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Worksheets /Math /Grade 4 (ages 9-10) /Numbers and Operations – Fractions: Multiples of Fractions CCSS 4.NF.4b Facts & Worksheets

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Numbers and Operations - Fractions Multiples of Fractions CCSS 4.NF.4b Worksheets
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At the end of the lesson, the student will be able to apply the knowledge of the multiples of unit fractions to a wider sense of the multiples of numerators greater than 1.

See the fact file below for more information on the multiples of fractions or alternatively, you can download our 26-page Numbers and Operations – Fractions: Multiples of Fractions CCSS 4.NF.4b worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE

  • At the end of the lesson, the student will be able to apply the knowledge of the multiples of unit fractions to a wider sense of the multiples of numerators greater than 1.

A NOTE FOR THE TEACHER

  • When understanding multiples of fractions, take note of the following:
    • Remember that we are only dealing with the multiples of the numerator.
    • The multiples always start with the actual fraction.
    • Remember that the fraction multiplied by the whole number, n, means that n/b is the nth multiple of that fraction.

THEORY

  • Since we already know that a unit fraction, 1/b, has a set of multiples: 1/b, 2/b, 3/b, 4/b, 5/b,…, we can confirm that any numerator greater than 1 can have multiples as well.
  • Consider the whole number 2.
  • Its multiples are 2, 4, 6, 8, 10…
  • Therefore, the fraction 2/b also has multiples.
  • Its multiples are 2/b, 4/b, 6/b, 8/b, 10/b.
  • To explain, the numerator is the only one that is multiplied.
  • Consider the 10th multiple of 3/7:
    • We know that the multiples of 3 are 3, 6, 9, 12, 15 …
  • To identify it’s 10th multiple, we multiply 3 by 10
    • 3 x 10 = 30
  • Thus, the 10th multiple of 3/7 can be solved as
    • 3/7 x 10 = (3×10)/7 = 30/7
  • With this, we can now understand that any whole number, n, multiplied to a fraction produces the product (n x a)/b (wherein a is the value of the numerator and b is a value of the denominator greater than 1):
    • a/b x n = (a x n) / b

Numbers and Operations – Fractions: Multiples of Fractions CCSS 4.NF.4b Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations – Fractions: Multiples of Fractions across 26 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.NF.4b for Numbers and Operations – Fractions: Multiples of 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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