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Fractions Calculator
If you just want to simplify a fraction use our simplify fractions calculator.
Adding more than 2 fractions with like and unlike denominators? Adding 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.