Ratio Comparison Calculator
Compare two signed ratios as exact decimal quotients. Enter each as A:B or A/B with a nonzero second term.
How to use Ratio Comparison Calculator
1. Enter First Ratio, Second Ratio 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 ratio comparison. 4. Copy result copies the output; Reset clears the inputs and answer.
Why use this tool?
Check whether two ratios are equal or which represents the larger quotient without a floating-point equality tolerance.
How the calculation works
Convert decimal ratio components to exact integer fractions, normalise denominator signs, and compare cross-products. 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 Ratio = 3:4 and Second Ratio = 6:8 are equal. First Ratio = 1:10000000000000 and Second Ratio = 2:10000000000000 make the second ratio larger.
Practical tip
The comparison is of quotients, not the total amount represented by each pair.
Frequently asked questions
Are decimal ratio terms allowed?
Yes. Ordinary decimal notation such as 0.5:2 is accepted and compared exactly as entered. Scientific notation is not accepted in these text ratio fields.
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.