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Fraction Comparison Calculator
See whether the first fraction is greater than, less than, or equal to the second—using simple (top and bottom only) or mixed (whole + proper fraction) inputs. The result shows a large inequality line, decimals to two places, a quick bar picture, and two classic paper methods: cross multiplication and a common denominator. Use Share Calculation to save inputs and the mode in the URL.
Compare
Result
Step-by-step
How to use the two modes
In simple mode, enter only a numerator and denominator for each fraction—improper fractions are fine. In mixed mode, enter a whole part (or leave it blank for zero) plus a proper fractional part (smaller top than bottom, top zero or positive); put any negative on the whole part only, matching common textbook layout.
How the steps are built
When you use mixed numbers, the first section rewrites each value as a single fraction. Then you see cross multiplication (compare products across the “X”) and a common denominator rewrite so you can compare numerators on the same bottom number. The headline uses the same ordering decision you would get from simplifying and comparing the two fractions directly.
FAQ
Can I compare mixed numbers and simple fractions in the same tool?
Yes. Use the mode control to show or hide whole-number boxes. In mixed mode, each value is a whole part plus a proper fractional part; the steps show how those convert to a single improper fraction before comparing.
How does the comparison work?
The tool uses exact rational values internally, then explains the same relationship with cross multiplication and a common denominator so you can read the reasoning on paper. The headline result shows which side is greater, equal, or less, with decimals rounded to two places for quick sense-checking.
Can I share a specific comparison?
Yes. After you compare, use Share Calculation to copy the URL. Opening that link restores the same inputs, simple versus mixed mode, and written steps.