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2xKit

Fraction Calculator

Add, subtract, multiply or divide fractions and simplify the result.

Formula v1.0.0GlobalMethodologyReport an issuefraction-v1
How this is calculated
Standard fraction arithmetic (common denominators for +/−, cross multiplication for ×/÷), simplified via GCD

Assumptions used in this calculation

  • Simplification: Results are always reduced to lowest terms using the GCD of the resulting numerator and denominator.

About this calculator

Adding or dividing fractions by hand means finding a common denominator, cross-multiplying, and then remembering to simplify the answer, and it's easy to drop a step or leave the result in an unreduced form like 12/16 instead of 3/4. This calculator takes two fractions and an operation (add, subtract, multiply or divide), performs the arithmetic using common denominators for addition/subtraction and cross-multiplication for multiplication/division, then automatically reduces the result to lowest terms using the greatest common divisor of the numerator and denominator. It also converts the answer to its decimal equivalent so you can sanity-check it or use it directly in a further calculation. That saves the manual bookkeeping of finding common denominators and checking for further simplification, which is where most fraction arithmetic mistakes happen, whether you're checking homework or working through a recipe or measurement conversion.

Worked example

1/2 + 1/3

Result: 5/6

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