Online Calculator Resource

Fractions Calculator

Fractions Calculator
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Calculator Use

This calculator performs adding, subtracting, dividing and multiplying fractions and returns an answer as a reduced fraction and a mixed number if it exists.

Input your fractions, select the math operation and click Calculate.

Fraction Equations

This calculator performs the reducing calculation faster than other calculators you might find. The primary reason is that it utilizes Euclid's Algorithm for reducing fractions which can be found at The Math Forum.

The algebraic formula for adding fractions is:

$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$

Example steps:

$\frac{2}{6} + \frac{1}{4} = \frac{(2×4) + (6×1)}{6×4}$ $= \frac{14}{24} = \frac {7}{12}$

Subtracting Fractions

The formula for subtracting fractions is:

$\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}$

Example steps:

$\frac{2}{6} - \frac{1}{4} = \frac{(2×4) - (6×1)}{6×4}$ $= \frac{2}{24} = \frac {1}{12}$

Multiplying Fractions

The formula for multiplying fractions is:

$\frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}$

Example steps:

$\frac{2}{6} × \frac{1}{4} = \frac{2×1}{6×4}$ $= \frac{2}{24} = \frac {1}{12}$

Dividing Fractions

The formula for dividing fractions is:

$\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}$

Example steps:

$\frac{2}{6} \div \frac{1}{4} = \frac{2×4}{6×1}$ $= \frac{8}{6} = \frac {4}{3} = 1 \frac{1}{3}$

If you just want to simplify a fraction use our Simplify Fractions Calculator.

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.