Fraction Calculator
Add, subtract, multiply, or divide any two fractions. Results are automatically simplified to lowest terms with the decimal equivalent shown.
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How to Use the Fraction Calculator
Select your operation (add, subtract, multiply, or divide), enter the numerator and denominator for each fraction, and click Calculate. The result is automatically reduced to its simplest form.
Fraction Arithmetic Rules
Adding and Subtracting Fractions
a/b + c/d = (a×d + c×b) / (b×d) → then simplify
Example: 1/2 + 1/3 = (1×3 + 1×2) / (2×3) = 5/6
Multiplying Fractions
a/b × c/d = (a×c) / (b×d) → then simplify
Example: 2/3 × 3/4 = 6/12 = 1/2
Dividing Fractions
a/b ÷ c/d = (a×d) / (b×c) → flip and multiply
Example: 2/3 ÷ 4/5 = (2×5) / (3×4) = 10/12 = 5/6
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Worked Examples
Recipe scaling
A recipe calls for 2/3 cup of flour and 1/4 cup of sugar. How much flour and sugar combined? 2/3 + 1/4 = 8/12 + 3/12 = 11/12 cup.
Splitting a bill
You pay 3/5 of a bill and your friend pays 1/4. What fraction is left? 3/5 + 1/4 = 12/20 + 5/20 = 17/20. Left over: 1 − 17/20 = 3/20.
Frequently Asked Questions
How do you add fractions with different denominators?
Find a common denominator, convert both fractions, then add the numerators. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
What does "simplify" or "reduce" a fraction mean?
Dividing the numerator and denominator by their greatest common divisor (GCD). For example, 12/16 simplified is 3/4 (divide both by 4).
Can this calculator handle improper fractions?
Yes. An improper fraction has a numerator larger than the denominator (e.g., 7/3). Enter the numerator and denominator directly.
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. The calculator shows this automatically.