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Adding & Subtracting Like Fractions Worksheet Generator

Common and unlike denominator addition and subtraction with simplest-form reduction and mixed numbers. Generate unlimited practice worksheets with answer keys for home or school.

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Worksheet Mill Code: 0028T5

Adding & Subtracting Like Fractions

Name: ________________________________ Date: ____________________ Score: _________

Add or subtract the fractions with like denominators. Simplify your answer to simplest form or mixed number if possible.

1)
2 8 + 5 8 =
    
2)
3 6 + 5 6 =
    
3)
3 6 + 1 6 =
    
4)
1 2 + 1 2 =
    
5)
1 3 - 1 3 =
    
6)
7 10 + 6 10 =
    
7)
1 4 - 1 4 =
    
8)
3 4 + 2 4 =
    
9)
4 5 - 1 5 =
    
10)
1 6 - 1 6 =
    
11)
3 6 - 2 6 =
    
12)
5 10 + 1 10 =
    
13)
1 4 + 1 4 =
    
14)
2 3 - 2 3 =
    
15)
3 8 + 4 8 =
    
16)
5 6 - 4 6 =
    
17)
4 8 - 4 8 =
    
18)
2 3 + 2 3 =
    
Page 1 of 1 Free printable math worksheets at Worksheet Mill Code: 0028T5
Worksheet Mill ANSWER KEY Code: 0028T5

Adding & Subtracting Like Fractions — Answer Key

Add or subtract the fractions with like denominators. Simplify your answer to simplest form or mixed number if possible.

1)
2 8 + 5 8 =
7/8
2)
3 6 + 5 6 =
1 1/3
3)
3 6 + 1 6 =
2/3
4)
1 2 + 1 2 =
1
5)
1 3 - 1 3 =
0
6)
7 10 + 6 10 =
1 3/10
7)
1 4 - 1 4 =
0
8)
3 4 + 2 4 =
1 1/4
9)
4 5 - 1 5 =
3/5
10)
1 6 - 1 6 =
0
11)
3 6 - 2 6 =
1/6
12)
5 10 + 1 10 =
3/5
13)
1 4 + 1 4 =
1/2
14)
2 3 - 2 3 =
0
15)
3 8 + 4 8 =
7/8
16)
5 6 - 4 6 =
1/6
17)
4 8 - 4 8 =
0
18)
2 3 + 2 3 =
1 1/3
Page 1 of 1 Free printable math worksheets at Worksheet Mill Code: 0028T5

Ways to Use This Sheet

Independent Practice

Immediate desk work following direct instruction to verify individual concept mastery.

Homework

A clean, predictable practice sheet students can complete at home without adult coaching.

Math Centers

Self-contained station work for small groups rotating on 15-minute timers.

How to Use This Worksheet Generator

In the Classroom

Operating with like fractions is students' first encounter with fractional arithmetic. In the classroom, the most critical conceptual barrier is preventing students from adding denominators together (e.g. writing 2/8 + 3/8 = 5/16). This generator reinforces the rule: when the denominators are identical, only add or subtract the numerators.

At Home & Homeschool

At home, having worksheets with optional simplification allows parents to tailor practice to their child's current grade level. Fourth graders can focus strictly on adding numerators, while fifth graders are challenged to reduce answers to simplest form using greatest common factors or convert improper fractions to mixed numbers.

Step-by-Step Worked Example

Worked Example: Adding Like Fractions and Simplifying 5/12 + 4/12 = ?
  1. 1

    Verify Identical Denominators

    Both fractions have a denominator of 12 (twelfths), meaning the units are the same.

  2. 2

    Add the Numerators (5 + 4 = 9)

    Add only the top numbers: 5 + 4 = 9. Keep the denominator 12 to get 9/12.

  3. 3

    Reduce to Simplest Form (Divide by GCD 3)

    Find the greatest common divisor of 9 and 12, which is 3. 9 ÷ 3 = 3, and 12 ÷ 3 = 4. The simplest form is 3/4.

Solution Result: 5/12 + 4/12 = 3/4

Difficulty Progression: Easy vs. Standard vs. Challenge

Preset Level Target Grade Configuration & Range Skill Focus & Mastery
Easy Grade 4 15 problems, addition only, denominators 2 to 6, no simplification required Mastering the core concept that identical denominators stay unchanged.
Standard Grades 4–5 18 problems, mixed addition & subtraction, denominators up to 10, simplest form Adding and subtracting like fractions with automatic simplification.
Challenge Grade 5 20 problems, mixed operations, denominators up to 12, mixed numbers Converting resulting improper fractions into mixed numbers (e.g. 7/8 + 5/8 = 12/8 = 1 1/2).

Frequently Asked Questions

Why do students often add the denominators together?

Whole-number arithmetic trains students to add all numbers in sight. When they see 2/5 + 1/5, their reflex is to add 2+1 and 5+5. Use the "word name" strategy: 2 fifths plus 1 fifth equals 3 fifths (just like 2 apples plus 1 apple equals 3 apples; the name of the unit doesn't change).

When is a fraction considered in "simplest form"?

A fraction is in simplest form when the only common factor between the numerator and denominator is 1 (they are coprime). For instance, 6/8 is not in simplest form because both 6 and 8 can be divided by 2 to yield 3/4.

Can subtraction result in negative fractions on these sheets?

No. All subtraction problems are generated with non-negative constraints (SPEC-03 invariant), ensuring the first numerator is always greater than or equal to the second numerator.

Understanding Your Unique Worksheet Code

Every worksheet generated on this site includes a unique 6-character alphanumeric Worksheet Code (such as 432VPD) printed in the header and footer.

This code represents the mathematical pseudo-random seed used to create your exact problem set. If you ever need to reprint the identical worksheet for absent students or retrieve the matching answer key at a later date, simply enter the code into the Worksheet Code box and click Load Code. All problems will instantly regenerate in identical order.