Fraction Calculator

Add, subtract, multiply or divide proper, improper and mixed-number fractions with the working shown.

Calculator

Enter two proper, improper or mixed-number fractions. The calculator keeps integer arithmetic, simplifies the result and shows the working.

Operation
Simplified result5/6
Decimal0.83333333

Show the steps

1. Convert mixed numbers

The entered values become 1/2 and 1/3.

2. Add the fractions

1/2 + 1/3 = (1 × 3 + 1 × 2) / (2 × 3) = 5/6

3. Simplify the result

5/6 is already in simplest form.

4. Final answer

Result: 5/6 ≈ 0.83333333.

Method and variables

Fraction Calculator

Formula: a/b ± c/d = (ad ± bc) / bd; a/b × c/d = ac / bd

Assumption: Each entered value is an integer; a mixed number is converted to an improper fraction before the operation.

Worked example

Fraction Calculator

1/2 + 1/3 = (1 × 3 + 1 × 2) / (2 × 3) = 5/6.

Important limits