Fraction Calculator
Free fraction calculator to add, subtract, multiply, and divide fractions — auto-simplifies to lowest terms with decimal result.
Fraction Calculator
Fraction Calculator
Add, subtract, multiply, or divide — result auto-simplified
Result
Smart Insights
Personalized takeaways from your numbers.
Real-Life Examples
Different denominators
Cross multiply & simplify
The Formula Behind It
a/b ± c/d with common denominator; result simplified via GCDVariables
- LCD for addition/subtraction
- GCD for simplification
How It Works
- Choose an operation — add, subtract, multiply, or divide.
- Enter the numerator and denominator for both fractions.
- View the simplified result as a fraction and decimal.
About Fraction Calculator
The Fraction Calculator handles addition, subtraction, multiplication, and division of fractions — automatically finding common denominators and simplifying results to lowest terms. Perfect for homework, recipe scaling, and construction measurements.
How Fraction Operations Work
Addition & Subtraction: Find the least common denominator (LCD), convert both fractions, then combine numerators. Multiplication: Multiply numerators and denominators directly, then simplify. Division: Multiply by the reciprocal of the divisor.
Simplifying Fractions
Every result is reduced using the greatest common divisor (GCD). An improper fraction (numerator ≥ denominator) is also shown as a mixed number when helpful. To convert a fraction to a percentage, divide to get a decimal then use our Percentage Calculator. For area calculations involving fractions of dimensions, see the Area Calculator.
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Continue your calculation with these free tools on Online Calculators.
Frequently Asked Questions
How do I add fractions with different denominators?
Find the least common denominator (LCD), convert both fractions, then add numerators. Example — 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
How do I simplify a fraction?
Divide numerator and denominator by their greatest common divisor (GCD). 8/12 simplifies to 2/3.
Can I multiply fractions directly?
Yes. Multiply numerators together and denominators together, then simplify. 2/3 × 3/4 = 6/12 = 1/2.
How do I divide fractions?
Multiply by the reciprocal of the divisor. 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2.
What is an improper fraction?
A fraction where the numerator is greater than or equal to the denominator, like 7/4. It equals 1 3/4 as a mixed number.
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. 3/8 = 0.375.