Adding and Subtracting Fractions Worksheets (PDF)

About this resource

What's inside this resource

Five leveled worksheet sets build fraction addition and subtraction skill from like denominators, through unlike denominators, to mixed numbers and multi-step word problems, with each set immediately followed by a worked answer key showing the simplified (and where needed, reduced or converted) result for every problem. A 'Cube Color' field at the top of each answer page lets teachers mark which color face of a companion math cube each problem set was assigned to, tying the worksheets to a hands-on dice or cube-rolling station activity. The final two sets embed the same addition/subtraction skills inside short word problems -- ribbon lengths, juice amounts, running distances, and sugar measurements -- requiring students to first identify which fraction operation the scenario calls for. The five sets progress in difficulty from straightforward like-denominator computation to unlike-denominator and mixed-number word problems suitable for late-elementary practice.

In the classroom

Teaching tips & learning objectives

Learning objectives

Add and subtract fractions with like denominators, simplifying the result.
Find a common denominator to add or subtract fractions with unlike denominators.
Add and subtract mixed numbers.
Translate a word problem into the correct fraction addition or subtraction expression.

Teaching tips

Sequence the five sets in order -- like denominators, unlike denominators, mixed numbers, then word problems -- since each builds on the prior set's skill.
Use the 'Cube Color' field to run a rotating math-cube station where students complete whichever problem set corresponds to the color rolled.
Use the embedded answer key for quick self-checking or peer grading at each station.

Skills covered

Fraction addition/subtraction with like denominators — students add and subtract fractions sharing the same denominator and simplify results.
Fraction addition/subtraction with unlike denominators — students find a common denominator before adding or subtracting.
Mixed number computation — students add and subtract mixed numbers, converting and simplifying as needed.
Word problem translation — students identify the correct fraction operation from a real-world scenario involving measurements and quantities.

Good to know

Questions teachers ask about this resource

What is the 'Cube Color' field on each answer page for?

It lets a teacher record which colored face of a companion math cube (or die) a given problem set was assigned to, so the worksheets can be used as a rotating cube-based station activity rather than a single fixed assignment.

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Curriculum

Standards, concepts & topics

Standards

5.NF.A.1 — Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
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.
5.NF.A.2 — Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Core concepts

adding fractions
subtracting fractions
like and unlike denominators
mixed numbers

Topics

adding fractions mixed numbers math worksheet fractions worksheet math cubes

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Categories this resource belongs to

Adding Fractions Worksheets 4th Grade Math Worksheets 5th Grade Math Worksheets 3rd Grade Math Worksheets Fractions Worksheets Math Worksheets

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Adding & Subtracting Fractions Math Worksheets

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