Fraction Calculator

Add, subtract, multiply, and divide fractions with step-by-step solutions and visual representations

✓ All fraction operations ✓ Automatic simplification ✓ Visual pie charts

Calculate Fractions

1/2 + 1/3 = ?

Quick Examples

Fraction Rules

Addition/Subtraction
Find common denominator first
Multiplication
Multiply numerators and denominators
Division
Multiply by reciprocal
Simplification
Divide by GCD of numerator and denominator
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Working with Fractions

Fractions represent parts of a whole. The top number (numerator) shows how many parts you have, while the bottom number (denominator) shows how many parts make up the whole.

Basic Operations

Addition: a/b + c/d = (ad + bc)/(bd)
Subtraction: a/b - c/d = (ad - bc)/(bd)
Multiplication: a/b × c/d = (ac)/(bd)
Division: a/b ÷ c/d = a/b × d/c = (ad)/(bc)

Tips for Success

Simplify Results

Always reduce fractions to their simplest form by dividing both numerator and denominator by their greatest common divisor.

Find Common Denominators

For addition and subtraction, convert fractions to have the same denominator using the least common multiple.

Check Your Work

Convert your final answer to a decimal to verify it makes sense in the context of the problem.

Use Visual Aids

Pie charts and bar models can help you understand fraction operations and verify your answers.