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Exact fraction arithmetic

Fraction Calculator

Add, subtract, multiply, divide, and simplify fractions with exact integer arithmetic, then show mixed and decimal forms.

Your numbers

Exact fractions

Integer numerator and denominator arithmetic, then GCD simplification.

Exact result

5/65/6
Decimal0.83333333
How we got this
  1. Exact result5/6
  2. Mixed number5/6
  3. Decimal0.83333333
What we assumed
  • Arithmetic uses exact integer numerators and denominators, then simplifies with GCD.
  • Simplify uses the left fraction. The right fraction is ignored for that operation.
Technical details

Method fraction-v1.0.0Data Manual inputs / fixed rules

Discrepancy in the numbers? You can click Report incorrect result below or email hello@costanswer.com with the Method and Data lines.

Guide

Exact fraction arithmetic

CostAnswer editorialIndependent calculator publisher

Add, subtract, multiply, divide, and simplify with integer arithmetic, then show mixed and decimal forms. This is not a repeating-decimal recognizer for every possible expansion.

Simplification

Results are reduced by gcd. Mixed numbers are a display of the same rational, not a second calculation.

Questions about this calculator

What is 1/2 plus 1/3?

5/6 exactly. The decimal form is additional display, not a rounded substitute for the fraction.

Will results stay as fractions?

Yes when the operation stays rational. The page simplifies; it does not force a decimal unless you ask for one in the UI.

Terms used here

Mixed number
A whole part plus a proper fraction equal to the same rational.

Practical tips

For unit conversions, use the conversion calculator; this page is rationals, not inches.

Limits and caveats

Exact integer arithmetic for the operators supported. Division by zero is rejected.

Results are for information. They are not legal, tax, medical, or financial advice. How the math is maintained · Report a wrong figure.

Engine notes

Rounding, versioning, and omissions that sit beside the guide rather than repeating it.

  • Exact integers. Fractions are BigInt pairs, simplified with GCD. 1/2 + 1/3 = 5/6, not a rounded float guessed back into a fraction.
  • Operations. Add, subtract, multiply, divide, and simplify. Mixed numbers and a decimal are shown after the exact result.
  • Invalid input. A zero denominator is rejected. Parts are bounded so the calculator cannot hang on huge integers.

Calculation receipt

What each number here is

This answer is arithmetic on what you enter. No outside dataset is involved, so nothing here can go out of date.

Fraction arithmetic is exact.

Next

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