Fraction Calculator
Add, subtract, multiply, or divide two fractions. Get a simplified fraction, mixed number, and decimal.
Type a number, press a/b, type denominator. Operate (+−×÷) and press = to simplify.
Or use the standard form below
What is Fraction Calculator?
The fraction calculator performs the four basic operations on two fractions: addition, subtraction, multiplication, and division. Results are simplified to lowest terms and also shown as a mixed number and decimal.
Formula
- Add / Subtract: a/b ± c/d = (ad ± bc) / bd
- Multiply: a/b × c/d = ac / bd
- Divide: a/b ÷ c/d = ad / bc
After computing the result, divide numerator and denominator by their GCD to simplify.
Worked example
3/4 + 1/6:
- = (3×6 + 1×4) / (4×6) = 22/24
- GCD(22, 24) = 2 → simplify to 11/12
- Decimal ≈ 0.9167
How to use this calculator
- Enter the numerator and denominator of the first fraction.
- Pick an operation.
- Enter the second fraction.
- The result appears in three forms: simplified fraction, mixed number, and decimal.
Frequently asked questions
Can I enter negative fractions?
Yes. Put the minus sign on the numerator (e.g., numerator −3, denominator 4 for −3/4). The calculator normalizes the sign onto the numerator in the result.
What if the denominator is zero?
Division by zero is undefined; the calculator returns no result in that case. Both input denominators must be non-zero, and for division, the second numerator also cannot be zero.
Does this handle mixed numbers as input?
Not directly — convert mixed to improper first. For example, 2 1/3 → (2×3+1)/3 = 7/3.
How is the mixed number formed?
Divide the numerator by the denominator: whole part is the quotient, fraction part is the remainder over the denominator. The sign of the whole part carries the sign of the result.