Calculator Soup^{®}

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

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

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.

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.

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.

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.

**Cite this content, page or calculator as:**

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