Accepts whole numbers (5), fractions (3/4), mixed numbers (1 3/4), decimals (0.75), and negatives (-3/4).
Reduces any fraction to lowest terms using the greatest common divisor.
Decimal conversions use a continued-fraction search (denominators up to 1,000,000) for an exact, fully-reduced result.
1 3/4) are all supported, and dividing by zero shows a clear error instead of a crash.
Fractions are automatically reduced to their simplest form using the Euclidean algorithm to find the greatest common divisor — so entering 48/18 is immediately simplified to 8/3, without you needing to spot the common factor yourself.
Addition and subtraction use a common denominator, while multiplication and division use cross-multiplication — the standard methods taught for fraction arithmetic. Mixed numbers (like 2½) are converted to improper fractions first before any calculation, then the result is converted back if needed.
Decimal inputs are converted back to a fraction using a continued-fraction approximation, searching up to a large maximum denominator to find the closest clean fraction that matches your decimal — useful for figuring out what fraction a repeating or irrational-looking decimal is actually close to.
Yes — every result is reduced to its simplest form using the greatest common divisor, so you always get the fraction in its lowest terms rather than an unreduced form.
They're converted to improper fractions first (so 2½ becomes 5/2), the arithmetic is performed, and the result is converted back to a mixed number if that's the more natural way to display it.
Yes — enter a decimal and the calculator finds the closest fraction using a continued-fraction approximation, searching up to a large denominator to find a clean match.
Standard cross-multiplication (multiply by the reciprocal of the second fraction) — the same method taught in school for fraction division.