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Math

Fraction Calculator

Add, subtract, multiply or divide two fractions and simplify the exact result.

Exact method explained belowEditable inputs

Set up your calculation

Runs on your device

SOLUTION

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter first numerator, first denominator, operation, second numerator, second denominator.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

For addition or subtraction, use a common denominator: (a×d ± c×b)/(b×d). Multiply as (a×c)/(b×d). Divide as (a×d)/(b×c). Reduce numerator and denominator by their greatest common divisor.

A WORKED EXAMPLE

1/2 + 1/3 = (3 + 2)/6 = 5/6. Its decimal approximation is 0.833333… .

What to keep in mind

Numerators and denominators must be whole numbers within ±1 billion. Zero denominators and division by a zero fraction are rejected. Exact integer arithmetic preserves the fraction; the decimal is approximate.

Common questions

Can a denominator be negative?

Yes. The result moves a negative sign to the numerator and uses a positive denominator.

How do I enter a mixed number?

Convert it to an improper fraction first. For example, 2½ becomes 5/2.

Methodology maintained by ClarityKit. How these tools are built and checked.