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Numbers and Operations – Fractions: Add & Subtract Fractions CCSS 4.NF.3a Facts & Worksheets

At the end of the lesson, the student will be able to learn how to add and subtract fractions with the same denominators.

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Worksheets /Math /Grade 4 (ages 9-10) /Numbers and Operations – Fractions: Add & Subtract Fractions CCSS 4.NF.3a Facts & Worksheets

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A fraction is a part of a whole. Therefore, we can join these fractions together to reach a specific number of fractions inside the whole. At the end of the lesson, the student will be able to learn how to add and subtract fractions with the same denominators.

See the fact file below for more information on the add & subtract fractions or alternatively, you can download our 30-page Numbers and Operations – Fractions: Add & Subtract Fractions CCSS 4.NF.3a worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE

A NOTE FOR THE TEACHER

  • When adding and subtracting fractions, take note of the following:
    • Start by identifying the unit fraction.
    • Make sure the fractions have the same denominators.
    • Always add or subtract the numerator only.
    • Simplify your answer.

THEORY

  • A fraction is a part of a whole. Therefore, we can join these fractions together to reach a specific number of fractions inside the whole. We can also separate a fraction into smaller fractions by subtracting these parts.
  • We learned that a fraction is mainly composed of unit fractions. To add, we can understand that fractions can be added or subtracted with other smaller fractions with the same denominator.
  • This means we can only add and subtract fractions together if they have the same denominator or they are part of the same whole.
  • Adding fractions together means joining smaller fractions with the same denominator to reach a bigger fraction in the range f the whole.
  • Consider 2/6 + 3/ 6,
  • The whole is partitioned into 6 equal parts:

  • The unit fraction is: 1/6

  • Having two and three of the fraction units produces 2/6 and 3/6 respectively:

  • Adding 2 and 3 has a sum of 5, making the sum of the fractions be: 5/6

  • Subtracting fractions means separating a smaller fraction with the same denominator from a bigger fraction in the range of the whole.
  • Consider 6/7 –  4/7
  • The whole is partitioned into 7 equal parts:

  • The unit fraction is 1/7:

  • Having two and three of the fraction units produces 6/7 and 4/7 respectively:

  • Subtracting 4 from 6 has a difference of 2, making the difference of the fractions be: 2/7

  • If the sum or the difference can be simplified into a smaller denominator, look for the greatest common factor of both the numerator and denominator.
  • For example, 2/4 can be simplified to 1/2 by:
    • Identifying that 2 is the greatest common factor of 2 and 4.
    • Then, dividing the numerator 2 by 2 and dividing the denominator 4 by 2.

Numbers and Operations – Fractions: Add & Subtract Fractions CCSS 4.NF.3a Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations – Fractions: Add & Subtract Fractions across 30 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.NF.3a for Numbers and Operations – Fractions: Add & 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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