Adding and Subtracting Fractions Worksheet — Math for 12-Year-Olds (Grade 6)

Instructions

Welcome to the Fraction Factory! To add or subtract fractions, you need a common denominator. Follow these steps to solve the problems below:

1. If the denominators are different, find the Least Common Denominator (LCD).
2. Convert each fraction to an equivalent fraction with the new denominator.
3. Add or subtract the numerators. The denominator stays the same.
4. Simplify your final answer. If it's an improper fraction, change it to a mixed number.

Part 1: Warm-Up (Like Denominators)

The denominators are already the same, so you can just add or subtract the numerators!

1. ⅓ + ⅔ =


2. ⅝ - ⅓ =


3. ⅞ + ⅝ =

Part 2: Finding a Common Denominator

You'll need to find the LCD before you can solve these.

1. ½ + ⅓ =


2. ¾ - ⅙ =


3. ⅔ + ⅕ =


4. ⅞ - ¼ =

Part 3: Mixed Practice Challenge

Put all your skills to the test! Remember to simplify your answers.

1. ⅙ + ⅜ =


2. ⅝ - ¼ =


3. ⅕ + ⅙ =


4. ⅞ - ⅔ =


5. ⅝ + ⅕ =


6. ⅟ - ½ =

Answer Key

Part 1: Warm-Up (Like Denominators)

1. ⅓ + ⅔ = ¾
2. ⅝ - ⅓ = ⅔ → Simplified: ½
3. ⅞ + ⅝ = ¹²⁄₁₀ = ⁶⁄₅ → As a mixed number: 1 ⅙

Part 2: Finding a Common Denominator

1. ½ + ⅓ = ³⁄₆ + ²⁄₆ = ⅙
2. ¾ - ⅙ = ⁹⁄₁₂ - ²⁄₁₂ = ⁷⁄₁₂
3. ⅔ + ⅕ = ⁴⁄₆ + ⁵⁄₆ = ⁹⁄₆ = ³⁄₂ → As a mixed number: 1 ½
4. ⅞ - ¼ = ⅞ - ²⁄₈ = ⅙

Part 3: Mixed Practice Challenge

1. ⅙ + ⅜ = ⁸⁄₂₄ + ⁹⁄₂₄ = ¹⁷⁄₂₄
2. ⅝ - ¼ = ¹⁰⁄₁₂ - ³⁄₁₂ = ⁷⁄₁₂
3. ⅕ + ⅙ = ⁸⁄₁₅ + ⁵⁄₁₅ = ¹³⁄₁₅ = ¹³⁄₁₅
4. ⅞ - ⅔ = ⁷⁄₈ - ⁴⁄₈ = ¾
5. ⅝ + ⅕ = ¹⁰⁄₁₅ + ¹²⁄₁₅ = ²²⁄₁₅ → As a mixed number: 1 ⁷⁄₁₅
6. ⅟ - ½ = ¹¹⁄₁₂ - ⁶⁄₁₂ = ⁵⁄₁₂