Fraction Calculator

Fraction Calculator

Add, subtract, multiply, or divide fractions with simplification, decimal output, and a mixed-number display.

Last updated: June 2026 | By Patchworkr Team

Fraction Operations
Division by a fraction uses the reciprocal of the second fraction. All denominators must be nonzero.
Result
Enter an integer.

How it works

The calculator applies the standard fraction rules for each operation, then simplifies the result using the greatest common divisor.

Remainder note

When converting to a mixed number, the whole part and leftover fraction are shown together for easier reading.

Formula and example

a/b + c/d = (ad + bc) / bd

Example: 3/4 + 1/2 = 5/4 = 1 1/4.

Worked Example

Add 3/4 and 1/2.

1. Find a common denominator: 4.

2. Convert 1/2 to 2/4.

3. Add: 3/4 + 2/4 = 5/4.

Final answer: 5/4 or 1 1/4

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