Fraction Comparison Calculator
Compare two signed fractions and identify the larger value using exact integer cross-products.
How to use Fraction Comparison Calculator
1. Enter First Fraction, Second Fraction in the stated order. Use the fraction or ratio format shown in the example. 2. Follow nonzero denominator and whole-number requirements where they apply. Keep corresponding quantities on the same unit scale. 3. Select Calculate or press Enter to see larger fraction. 4. Copy result copies the output; Reset clears the inputs and answer.
Why use this tool?
Check fraction ordering without first rounding each fraction to a decimal.
How the calculation works
Make denominators positive, then compare first numerator × second denominator with second numerator × first denominator. Equal products mean equal fractions. Integer fraction outputs and decimal-ratio comparisons use exact integer arithmetic; numeric input components are bounded as stated. Numeric input magnitudes, including each fraction or ratio component, must not exceed 9,007,199,254,740,991. Mathematical references: https://openstax.org/books/prealgebra-2e/pages/4-key-concepts and https://openstax.org/books/prealgebra-2e/pages/6-5-solve-proportions-and-their-applications.
Example
First Fraction = 3/4 and Second Fraction = 1/2 give “3/4 is larger”. Fractions 2/4 and 1/2 are equal.
Practical tip
Enter each fraction as whole numerator/denominator, such as −3/4. A minus sign on the denominator is normalised.
Frequently asked questions
Are very close fractions compared as rounded decimals?
No. Integer cross-products are compared exactly with BigInt. Each entered numerator and denominator must be within the stated safe-integer input range.
Can the exact result be larger than the input limit?
Yes. Exact integer fractions can have larger output numerators or denominators after multiplication. Their text remains exact. Floating-point numeric outputs on other maths pages are limited to the supported numeric range.
Does the tool choose units or round my input first?
Enter corresponding measurements in matching units; the maths forms do not convert units automatically. Exact fraction and ratio text is kept for integer arithmetic. Other numeric operations use browser floating-point values and the display precision stated above.