Fraction Calculator

The fields above the line are numerator. Below the line is denominator. Fill the fields to the left of the "=" and click the "calculate" button to calculate. The operations of "add", "subtract", "multiply" and "divide" are supported.

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Reference

In mathematics, a fraction is a number that represents part of a whole. It is consisted of a numerator and a denominator. The numerator represents the number of equal parts and the denominator represents the total amount of parts that make up a whole. For example 2/5, the numerator is 2 and the denominator is 5. Like all other numbers, fractions number can be added, subtracted, multiplied, and divided.

Addition

    a/b + c/d = ad/bd + bc/bd = (ad + bc)/bd
    example: 3/4 + 1/6 = 18/24 + 4/24 = 22/24 = 11/12

Subtraction

    a/b - c/d = ad/bd - bc/bd = (ad - bc)/bd
    example: 3/4 - 1/6 = 18/24 - 4/24 = 14/24 = 7/12

Multiplication

    a/b · c/d = ac/bd
    example: 3/4 · 1/6 = 3/24 = 1/8

Division

    (a/b)/(c/d) = ad/bc
    example: (3/4)/(1/6) = 18/4 = 9/2