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  1. Home
  2. /
  3. Calculators
  4. /
  5. Fraction Calculator

Fraction Calculator

Add, subtract, multiply and divide fractions with automatic GCD simplification and decimal results. Fractions never leave your local session.

Part of our Calculators collection — Explore more Calculators tools · See also: Percentage Calculator, BMI, Ideal Weight & Body Fat Calculator.

Quick answer: Fraction Calculator — Add, subtract fractions Free, no signup, runs in your browser. See below for the interactive tool, 4-step guide and FAQs.

Numerator 1
Denominator 1
Add (+)
Operation
Numerator 2
Denominator 2

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About the author

Reviewed by the Tool4SaaS Editorial Team — In-house reviewers who build and test every tool locally for accuracy across current Chrome, Edge, Firefox, and Safari. Last updated: October 23, 2026. See our authors, methodology or contact us.

Frequently asked questions

Top shared divisor trims numerator and denominator while fixing signs in one pass. Six eighths trims to three quarters, while three quarters and five sixths gives nineteen twelfths or one seven twelfths. Zero denominator flags invalid in one warning. Each trim runs locally without posting or retention.

Greatest-common-divisor sums stay on your phone alone without file sharing or login. Ten sums like three quarters and five sixths process locally offline with no dispatch. Cuts hold private, need no network, and wipe on close automatically. No account is requested here at any time.

Zero denominator triggers rejection because division lacks meaning mathematically, while large denominators preserve precision accurately. Three quarters and five sixths equals nineteen twelfths or one seven twelfths with decimal 1.5833 shown. Simplification by divisor and sign normalization completes display.

Whole part multiplies denominator and numerator over denominator unifies format before operation accurately. One seven twelfths becomes nineteen twelfths for arithmetic, then reconverts to mixed display. Halving three quarters cup gives three eighths cup precisely. Verifying divisor trimming after conversion keeps recipes accurate consistently.

Prime factors beyond two and five in denominator create recurring expansions inevitably. One third equals 0.333 repeating, while nineteen twelfths equals 1.5833 with trailing threes. Displaying four decimals balances readability and precision effectively. Retaining fraction form avoids drift across chained recipe doublings.

How to use Fraction Calculator

  1. Enter fractions: Type 3/4 and 5/6 as example pair, ensuring slash separates numerator and denominator without spaces.
  2. Choose operation: Pick add, subtract, multiply, or divide mode, verifying common denominator logic for addition versus subtraction.
  3. View forms: See 19/12, mixed 1 7/12, and decimal 1.5833 displayed together with divisor simplification steps shown.
  4. Simplify solo: Try 6/8 alone to observe 3/4 trimmed form, confirming greatest-common-divisor reduction works correctly.

In-depth guide

What rational arithmetic solves

Rational arithmetic adds, subtracts, multiplies, and divides fractional cuts with automatic divisor trimming and decimal mirrors. Three quarters and five sixths shows nineteen twelfths, one seven twelfths, 1.5833 in one view. Cooks halving three-quarter cup to three-eighths and shops splitting five-sixths yard depend on exactness. Reference table shows operations clearly | Expression example | Result fraction | Mixed number | Decimal equivalent | 3/4 and 5/6 | 19/12 | 1 7/12 | 1.5833 | 3/4 times 1/2 | 3/8 | 0 3/8 | 0.375 | 6/8 simplified | 3/4 | 0 3/4 | 0.750. Edge case of zero denominator triggers invalid flag with warning. Limitation covers two-operand sums without chained mixed expressions for twenty rows. Retest two pairs within five seconds to confirm accuracy.

How divisor trimming and signs normalize

Greatest divisor splits numerator and denominator by top shared cut across two trims, signs migrate to numerator in one fix. Three quarters and five sixths gives nineteen twelfths trimmed to one seven twelfths, multiplication uses top-top over base-base. Second example at two thirds and one half gives seven sixths or one one sixth with decimal 1.1667. Normalization table shows steps methodically | Raw fraction | Divisor applied | Trimmed result | 6/8 | divide by 2 | 3/4 simplified | 19/12 | divide by 1 | 19/12 unchanged | 4/6 | divide by 2 | 2/3 simplified. Edge case of eight-digit numerators may lag phones, so split two sums for performance. Limitation excludes repeating-decimal exactness beyond four places. Type three-fourths and five-sixths for nineteen-twelfths then six-eighths for three-fourths to lock trims. For decimals see /scientific-calculator.

Fraction worked example: 3/4 and 5/6 is 19/12 validated

Type three quarters and five sixths, pick add to see nineteen twelfths and 1.5833 in one second with steps and simplification shown. Try six eighths alone to see three quarters trim with divisor two shown explicitly. Flip to divide for reciprocal halves across second test with different operation. Test two thirds and one half for seven sixths to scale intuition across denominators. Edge case of negative denominator normalizes sign upward automatically with correction. Limitation includes two-share sums only, excluding mixed chains or graphing for twenty rows. Check zero base first and trial three pairs to solidify intuition thoroughly. For decimals use /scientific-calculator and verify nineteen twelfths equals one seven twelfths before cooking precisely.