Toolverge

Fraction Calculator

A fraction calculator performs arithmetic on two fractions and reduces the result to lowest terms using the greatest common divisor, rather than leaving an unsimplified or decimal-only answer. Reducing to lowest terms via the greatest common divisor is the same manual process taught in school — dividing both numerator and denominator by their largest shared factor — done automatically here so the result is never left in an unsimplified form like 6/8 instead of 3/4.

Result

5/6

Decimal: 0.833333

How it works

  1. Enter the numerator and denominator for both fractions.
  2. Choose add, subtract, multiply, or divide.
  3. Read the simplified result as a fraction and as a decimal.

Formula Add/subtract via a common denominator; multiply/divide directly; simplify by dividing out the GCD

Frequently asked questions

Is the result always simplified?

Yes — the numerator and denominator are always divided down to lowest terms using their greatest common divisor.

Can I enter negative fractions?

Yes — enter a negative numerator or denominator; the result normalizes to a positive denominator with the sign on the numerator.

What if a denominator is zero?

That is undefined — the calculator will not show a result.

Can I divide by a fraction equal to zero?

No — division by zero is undefined and returns no result.

Does this handle mixed numbers (e.g. 1½)?

Not directly — convert a mixed number to an improper fraction first (1½ = 3/2).