Fraction Calculator

Add, subtract, multiply, or divide any two fractions. Results are automatically simplified to lowest terms. Mixed numbers and whole numbers are also supported.

Fraction Calculator
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Fraction Operations

Addition/Subtraction: a/b ± c/d = (a×d ± c×b) / (b×d) → then simplify by GCD Multiplication: a/b × c/d = (a×c) / (b×d) → then simplify by GCD Division: a/b ÷ c/d = a/b × d/c = (a×d) / (b×c) Simplify: Divide numerator and denominator by GCD(num, den)

How to Simplify Fractions

A fraction is in its simplest form when the numerator and denominator share no common factors other than 1. To simplify, find the Greatest Common Divisor (GCD) of the numerator and denominator using the Euclidean algorithm, then divide both by the GCD.

For example: 12/18 → GCD(12,18) = 6 → 12÷6 / 18÷6 = 2/3.

Common Fraction Equivalents

FractionDecimalPercentage
1/20.550%
1/30.333…33.33%
1/40.2525%
3/40.7575%
1/50.220%
2/30.66766.67%
1/80.12512.5%

Frequently Asked Questions

How do you add fractions with different denominators?+
Find the least common denominator (LCD), convert each fraction to have the LCD, then add the numerators and simplify. For 1/2 + 1/3: LCD = 6, so 3/6 + 2/6 = 5/6.
How do you multiply fractions?+
Multiply numerator × numerator and denominator × denominator, then simplify. Example: 2/3 × 3/4 = 6/12 = 1/2.
What is a mixed number?+
A mixed number combines a whole number with a proper fraction. For example, 7/4 as a mixed number is 1¾ (one and three-quarters). The calculator shows both forms in the results.

About the Fraction Calculator

This free fraction calculator helps you get accurate results instantly without needing to work through the math manually. Whether you need a quick estimate or a precise figure, having a reliable tool on hand saves time and reduces errors compared to manual calculation.

How to Use This Calculator

  1. Enter your values in the input fields above. Each field is labeled to guide you.
  2. Double-check your inputs — results are only as accurate as the numbers you enter.
  3. Click the Calculate button to see your result instantly.
  4. Use the result for your planning, budgeting, or decision-making.

Why Accurate Calculations Matter

Small errors in math calculations can compound into significant problems. A 1% miscalculation in a budget or measurement can translate to hundreds or thousands of dollars in wasted resources, or result in having to redo work entirely. This calculator uses the standard formulas and methods to give you reliable results you can trust.

Tips for Getting the Best Results

Frequently Asked Questions

Is this calculator free? Yes — completely free with no account, login, or payment required. Use it as many times as you need.

How accurate are the results? This calculator uses the standard formulas for fraction calculations. Results are accurate for typical use cases. For specialized or high-stakes applications, consult a professional.

Does it work on mobile? Yes. This calculator is fully responsive and works on smartphones, tablets, and desktops.