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Rationals Calculator

Add, subtract, multiply, or divide two rational numbers.

How the rationals calculator works

Convert a/b and c/d using common denominators for addition/subtraction; multiply numerators and denominators for multiplication; divide by multiplying by the reciprocal. Denominators must be nonzero.

Example and useful facts

Example: Add, subtract, multiply, or divide two rational numbers. Enter the sample values above, then change one input at a time to see how the result changes.

Formula and assumptions: Convert a/b and c/d using common denominators for addition/subtraction; multiply numerators and denominators for multiplication; divide by multiplying by the reciprocal. Denominators must be nonzero.

Did you know? A rational number is any number that can be written as a ratio of integers with a nonzero denominator.

Frequently asked questions

What does the rationals calculator calculate?

Add, subtract, multiply, or divide two rational numbers.

Are the results exact?

The result follows the formula and assumptions shown on this page. Real-world rules, measurements, rates, and individual circumstances can affect the final answer.

Results are estimates for general information only. They are not a substitute for professional advice where applicable. Found a mistake? Report an error.