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Numbers and Operations Fractions: Add and Subtract Fractions CCSS 5.NF.1 and 5.NF.2 Facts & Worksheets

Adding and subtracting fractions are some of the fundamental concepts when dealing with fractions and non-whole numbers. This section will show you the different cases and methods of adding and subtracting fractions.

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Worksheets /Math /Grade 5 (ages 10-11) /Numbers and Operations Fractions: Add and Subtract Fractions CCSS 5.NF.1 and 5.NF.2 Facts & Worksheets

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Adding and subtracting fractions are some of the fundamental concepts when dealing with fractions and non-whole numbers. This section will show you the different cases and methods of adding and subtracting fractions.

See the fact file below for more information on the adding and subtracting fractions or alternatively, you can download our 29-page Numbers and Operations Fractions: Add and Subtract Fractions CCSS 5.NF.1 and 5.NF.2 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 add and subtract fractions with unlike denominators (including mixed numbers); students will also be able to solve word problems using fraction models.

A NOTE FOR THE TEACHER

  • When adding or subtracting fractions, take note of the following:
    • Always make sure that the fractions have the same denominators
    • Sometimes it helps to convert mixed fractions to improper fractions first, but sometimes solving the problems can be easier if you retain the mixed fractions
    • When dealing with word problems, try to draw/visualize the scenarios

THEORY:

  • Adding and subtracting fractions are some of the fundamental concepts when dealing with fractions and non-whole numbers. This section will show you the different cases and methods of adding and subtracting fractions.
  • In general, we can only add fractions with the SAME denominators. Given two fractions, we first have to convert them to like fractions, and after doing so, we simply add/subtract their numerators. For example, take ½ + ¼ :

  • We first convert ½ to a fraction with the same denominator as ¼.
  • We then simply add the 2/4 to 1/4 by adding their numerators. We always simplify the resulting fraction into its lowest terms, but for this example, 3/4 is already in the lowest terms

  • We can also solve the equation by using bar models:
  • Notice that red lines in the 1/2 model indicate how we converted it into four segments to make it have the same denominator as the first fraction i.e., 1/4

  • In the case that we are asked to add/subtract a mixed fraction and a proper fraction, simply add the fraction components to each other, and we retain the whole number of the mixed fraction. Take, for example:

  • In the case that we are asked to add/subtract two mixed fractions, we add the fraction components to each other, while we add the whole number components to each other. Take, for example

  • In the case that we are asked to add/subtract improper fractions, like in any case of adding fractions, we always make sure that the fractions have the SAME denominator. After which, we simply add the numerators, and if asked to, we convert the result into a mixed fraction. Take, for example:

  • When dealing with word problems for adding and subtracting fractions, always try to draw/visualize the problem, and try to determine whether the required operation is addition or subtraction.

Numbers and Operations Fractions: Add and Subtract Fractions CCSS 5.NF.1 and 5.NF.2 Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations Fractions: Add and Subtract Fractions across 29 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 5.NF.1 and 5.NF.2 for Numbers and Operations Fractions: Add and Subtract 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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