Reduce a fraction to its lowest terms

Reduce an integer fraction to lowest terms and show its mixed-number and decimal forms.

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ToolFraction Simplifier
Input
Output
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Preview

How it works

The greatest common divisor of the absolute numerator and denominator divides both terms, then the denominator sign is normalized positive. The reduced fraction is accompanied by a mixed-number decomposition and a decimal rounded to six places.

  • Exact reduction happens before decimal display.
  • A zero denominator is rejected because it has no numeric value.

Worked example

10/4
A fraction that reduces and is bigger than one whole
Input
											Numerator: 10
Denominator: 4
Output
												Simplified numerator: 5
Simplified denominator: 2
GCD used: 2
Mixed number: 2 1/2
Decimal value: 2.5
Already in lowest terms: no

When to use this

Recipes scale 6/8 to 3/4, construction plans convert improper fractions, and homework checks compare exact rationals with decimals.

Edge cases

  • A negative denominator moves its sign to the numerator so equivalent values share one representation.
  • A numerator of zero reduces to 0/1 rather than retaining a common divisor.
  • 1/3 remains exact as a fraction even though its six-place decimal is rounded.