Fractions Calculator

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Fraction Calculator
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If you just want to simplify a fraction use our simplify fractions calculator.

Fraction Equations:

This calculator handles simple operations for adding, subtracting, dividing or multiplying fractions and returns an answer in a reduced fraction and a mixed number, if it exists.

This script performs the reducing calculation faster than other scripts you might find. The primary reason is that it utilizes Euclid's Therom for reducing fractions which can be found here http://mathforum.org/library/drmath/view/58134.html

Adding Fractions

The algebraic formula for addition of fractions is a/b + c/d = (ad + bc) / bd. For example: 2/6 + 1/4 = (2*4 + 1*6) / 6*4 = 14 / 24.
Reducing this fraction we get 7/12.

Subtracting Fractions

The formula for subtracting fractions is a/b - c/d = (ad - bc) / bd. For example: 2/6 - 1/4 = (2*4 - 1*6) / 6*4 = 2 / 24.
Reducing this fraction we get 1/12.

Multiplying Fractions

The algebraic formula for multiplying fractions is a/b * c/d = ac / bd. For example: 2/6 * 1/4 = 2*1 / 6*4 = 2 / 24.
Reducing this fraction we get 1/12.

Dividing Fractions

The algebraic formula for dividing fractions is a/b ÷ c/d = ad / bc. For example: 2/6 * 1/4 = 2*4 / 6*1 = 8 / 6.
Reducing this fraction we get 4/3 or 1-1/3.

For these and some more basic methods of working with fractions see also Help With Fractions
 

Cite this content, page or calculator as:

Furey, Edward "Fractions Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.