Designed by Zarah
Edited by Chris
This collection of free decomposing fractions worksheets includes a range of fun activities and challenges to keep students engaged in their learning.
Decomposing fractions is usually introduced in Grade 4.
All the worksheets are designed to be printed onto A4 paper. Make sure you select the “shrink to fit” option when printing to avoid any cut-offs on your print.
License and Terms of Use: All printables are provided for non-commercial personal and classroom use only, not for resale or distribution. All rights reserved.
Common Core© Aligned Learning Outcomes
These worksheets partially or fully address the following Common Core© learning outcomes:
Grade 4
4.NF.B.3: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
Free Decomposing Fractions Worksheets
Designed by Zarah
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This worksheet contains five problems, presented in a variety of ways, to challenge students to think about how to decompose a fraction.
Designed by Zarah
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Students are given some but not all of the decomposed fractions that add up to a complete fraction. They need to fill-in the gaps.
Designed by Zarah
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Students need to fill in the blanks to present the equivalent of the mixed fractions, in decomposed fractions.
Designed by Zarah
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Students are presented a decomposed fraction bar, and students need to select the number line that matches the bar.
Designed by Zarah
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Students need to come up with a series of fractions that add up to the fraction in the center of each image.
Designed by Zarah
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Students need to come up with 3 fractions that, added together, would come up to the complete fraction presented.
Designed by Zarah
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A multiple-choice challenge that requires students to add up decomposed fractions to see which reflects the presented complete fraction.
Designed by Zarah
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Students present the added-up fractions in visual form.
Designed by Zarah
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Students decompose a fraction then present an improper fraction equivalent.
Designed by Zarah
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Students need to simplify their fractions and decompose them to find the correct of three multiple-choice answers.
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