Simplification
Results are reduced by gcd. Mixed numbers are a display of the same rational, not a second calculation.
Your numbers
Exact fractions
Integer numerator and denominator arithmetic, then GCD simplification.Exact result
5/65/6Decimal0.83333333
How we got this
- Exact result5/6
- Mixed number5/6
- 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
Guide
Exact fraction arithmetic
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.
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.
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.