Math

Fraction Calculator

Do arithmetic with two fractions and see the answer in lowest terms.

By TheCalcTools Updated Formula checked and tested

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Fraction Calculator by TheCalcTools

How the Fraction Calculator works

Enter both fractions and pick an operation.

Addition and subtraction use a common denominator; multiplication multiplies across; division multiplies by the reciprocal.

The result is reduced by dividing by the greatest common divisor.

The formula

a/b + c/d = (ad + cb) ÷ bda/b × c/d = ac ÷ bd

Worked example

Using the default values shown in the calculator:

Numerator 13
Denominator 14
Operation+
Numerator 25
Denominator 26
  1. 3/4 + 5/6: common denominator 24 gives 18/24 + 20/24 = 38/24.
  2. Reduced by 2 this is 19/12.
  3. As a decimal that is 1.5833.

Result:

Result19/12
Decimal value1.5833

Frequently asked questions

How do I simplify a fraction?

Divide the numerator and denominator by their greatest common divisor.

How do I convert a fraction to a decimal?

Divide the numerator by the denominator. 3/4 = 0.75.

Sources and further reading

GCD and LCM CalculatorEnter two whole numbers to find their greatest common divisor and least common multiple Ratio Simplifier CalculatorSimplify a ratio A : B to its lowest terms Percentage Change CalculatorFind the percentage change from an old value to a new value Scientific Notation ConverterWrite any number in scientific notation, a × 10ⁿ Long Division Calculator (Quotient and Remainder)Enter the dividend and divisor Modulo Calculator (a mod n)Enter a number and the modulus

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