Add, subtract, multiply, or divide two bounded integer fractions and inspect the exact reduced result, GCD, and rounded decimal display.
A quick decision brief for this specific tool
Two bounded whole-number numerators, two positive whole-number denominators, and one selected add/subtract/multiply/divide operation
Sign-normalized exact reduced fraction, unreduced fraction, integer GCD and rounded decimal approximation
Uses exact safe-integer cross-products or reciprocal multiplication and reduces by integer GCD; it rejects zero denominators and division by a zero-valued second fraction
Choose your path
Apply one selected arithmetic operation to two bounded integer fractions and return a sign-normalized exact reduced result plus an explicitly rounded decimal display.
See the exact result and the reduction step rather than only a decimal.
Enter two whole-number numerator/positive-denominator pairs, choose the operation and inspect the unreduced result and GCD.
Can reproduce the answer and distinguish exact fraction from rounded decimal.
Handle negative numerators and improper results consistently.
Put the sign in the numerator, keep denominators positive and review the sign-normalized result.
Receives one canonical fraction without a negative denominator.
Prevent decimal fraction components, zero denominators and division by a zero-valued fraction.
Use bounded whole values and read the explicit error when the divisor fraction equals zero.
No invalid operation disappears into a blank result or floating-point GCD artifact.
Outputs and checklists are planning aids. Review the linked current authorities and the records, terms, instructions, and requirements that apply to your exact situation before a consequential decision.
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Every numerator and denominator must be a bounded safe whole number. Denominators are positive, while signs belong in numerators.
Fraction = integer numerator ÷ positive integer denominatorAddition and subtraction use cross-products, multiplication uses component products, and division multiplies by the reciprocal. The result is reduced by integer GCD.
Reduced result = unreduced numerator/GCD ÷ unreduced denominator/GCDThe fraction result stays exact within the safe-integer input bounds. The separate decimal approximation is rounded for display and should not replace the fraction when exactness matters.
Updated: August 2026
A student checks 3/4 + 1/3 and audits both the unreduced cross-product and GCD reduction.
→ 13/12 exact; 1.08333333 rounded decimal
A craftsperson subtracts a larger positive fraction and retains the negative sign in the numerator.
→ −1/2 exact
A reviewer attempts to divide by 0/5 and receives an explicit error rather than a blank or infinite result.
Use whole-number numerator and denominator components. Convert a terminating decimal to a fraction first when exact arithmetic is required.
Retain the reduced fraction for exact work; the decimal display may round a repeating expansion.
Enter two whole-number numerators, two positive whole-number denominators, and one operation to get a sign-normalized exact reduced fraction.