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Math & statistics

Exact fraction arithmetic

Exact fraction arithmetic: Parse signed integer fractions with BigInt, apply the selected operation, normalize the denominator sign and reduce by the greatest common divisor.

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How it works

Parse signed integer fractions with BigInt, apply the selected operation, normalize the denominator sign and reduce by the greatest common divisor.

Input definitions

First integer or fraction
Enter the value in the labeled unit.
Operation
Choose + / − / × / ÷.
Second integer or fraction
Enter the value in the labeled unit.

A worked example

First integer or fraction
1/3
Operation
+
Second integer or fraction
1/6
1/2

Assumptions & limits

Exact BigInt rational arithmetic. Each integer component accepts up to 60 digits, denominators must be nonzero, and division by a zero-valued fraction is rejected. No decimal or scientific-notation inputs.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.

Common questions

Why use fractions instead of rounded decimals?

Fraction arithmetic preserves exact rational values such as one third. This tool uses integer arithmetic and reduces the result, so intermediate decimal rounding is avoided.

How does Exact fraction arithmetic work?

Parse signed integer fractions with BigInt, apply the selected operation, normalize the denominator sign and reduce by the greatest common divisor.

What are the limits of Exact fraction arithmetic?

Exact BigInt rational arithmetic. Each integer component accepts up to 60 digits, denominators must be nonzero, and division by a zero-valued fraction is rejected. No decimal or scientific-notation inputs.

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