The calculation, without hidden assumptions
Simplifying a fraction does not change its value; it removes a common factor from the numerator and denominator. MAXScanner finds the greatest common divisor with the Euclidean algorithm, divides both sides by that same value and keeps a negative sign on the numerator rather than hiding it in the denominator.
How to use this calculator
Enter the numerator and a non-zero denominator.
The calculator finds the GCD and divides both integers by it.
Read the lowest-terms fraction, mixed-number form and decimal equivalent.
Where people use it
- •Reducing answers after fraction arithmetic
- •Cleaning up measurement fractions
- •Checking homework and worksheets
Example: 42/56
The GCD of 42 and 56 is 14. Dividing both by 14 gives 3/4.
What the result does not assume
- •The inputs should be whole integers. Decimal values belong in the Decimal ↔ Fraction Calculator.
- •A zero numerator simplifies to 0/1; a zero denominator is undefined and rejected.
Frequently asked questions
What does lowest terms mean?+
The numerator and denominator have no common integer factor greater than 1.
What happens to a negative denominator?+
The sign is normalized to the numerator so the denominator is positive.
Is 0/5 reducible?+
Yes. Any valid zero numerator represents zero and normalizes to 0/1.
Semantic next steps
Continue the calculation
These links move to a different input, formula or project stage rather than a keyword variation of this page.
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OpenFree publisher widget
Put this calculator on your website
Give readers the live calculator without rebuilding the math. Copy the responsive embed in one click, or customize width, height, border and corner radius before publishing. The branded MAXScanner attribution stays visible.
Keep the result connected to the real job
MAXScanner keeps the formula and assumptions beside the result so you can verify the number before using it in a drawing, estimate, specification, worksheet or document. Where a supplier, manufacturer, drawing or applicable standard owns a requirement, that source remains authoritative.