Fraction Calculator
Enter an optional whole-number part with each numerator and positive denominator. Both operands are converted to improper fractions, calculated exactly with integers, and reduced. This page covers “simplify calculator”, “divide 1/3 by 3”.
How to use this calculator
Enter whole-number, numerator, and positive denominator components for two fractions plus one arithmetic operation.
Review negative signs, nonzero denominators, mixed-number entry, operation order, and desired output form.
Read the simplified improper fraction, mixed-number form, and decimal value.
Formula
a/b + c/d = (ad + bc)/bd; subtraction changes + to −; multiplication = ac/bd; division = ad/bc when c ≠ 0. Reduce numerator and denominator by their greatest common divisor.
Worked example
2/3 + 5/12 = 8/12 + 5/12 = 13/12, with decimal value about 1.0833333333.
Assumptions and limits
- Inputs use integer mixed-number components; decimal operands, symbolic variables, and algebraic expression parsing are not supported.
- Fraction Calculator treats the entered values as estimates and does not infer missing project, account, or personal details.
- Calculations retain working precision except where the cited method requires an intermediate rounding step; displayed values are then formatted separately. Source rules and dated rates must be rechecked when they change.
Sources
- OpenStax: College Algebra 2eAlgebraic, ratio, radical, equation, and function formulas. Reviewed 2026-08-14.
- OpenStax: Prealgebra 2eOfficial formula or method source used by this calculator. Reviewed 2026-08-14.
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Verification
How this calculator is checked
Trust comes from reproducible evidence, not model confidence. You can inspect the formula, assumptions, worked example, and cited sources on this page.
- Versioned calculationFormula logic is kept separate from the interface and covered by automated registry and behavior checks.
- Cited evidenceSources linked for independent checking: 2.
- Transparent AI useAI may assist drafting or adversarial review. Agreement between models is not proof, and no human expert review is claimed unless a named reviewer is shown.
Frequently asked questions
How does the Fraction Calculator work?
a/b + c/d = (ad + bc)/bd; subtraction changes + to −; multiplication = ac/bd; division = ad/bc when c ≠ 0. Reduce numerator and denominator by their greatest common divisor.
What information should I enter in the Fraction Calculator?
Enter whole-number, numerator, and positive denominator components for two fractions plus one arithmetic operation, then verify negative signs, nonzero denominators, mixed-number entry, operation order, and desired output form.
What should I verify before using this Fraction Calculator result?
Inputs use integer mixed-number components; decimal operands, symbolic variables, and algebraic expression parsing are not supported.
Last updated 2026-08-25 · mixed-and-simple-bigint-v2 · content-2026-08-14 · Published by YunFanLabs