(2)/(3x)+(1)/(4) - addition of fractions

(2)/(3x)+(1)/(4) - step by step solution for the given fractions. Addition of fractions, full explanation.

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    Solution for the given fractions

    • 2/(3*x) + 1/4 = ?
    • The common denominator of the two fractions is: 12*x
    • 2/(3*x) = (2*4)/(3*4*x) = 8/(12*x)
    • 1/4 = (1*3*x)/(3*4*x) = (3*x)/(12*x)
    • Fractions adjusted to a common denominator
    • 2/(3*x) + 1/4 = 8/(12*x) + (3*x)/(12*x)
    • 8/(12*x) + (3*x)/(12*x) = (3*x+8)/(12*x)
    • (3*x+8)/(12*x) = (3*x+8)/(12*x)

    Solution for the given fractions

    $ \frac{2}{(3*x)} +\frac{ 1}{4 }=? $

    The common denominator of the two fractions is: 12*x

    $ \frac{2}{(3*x)} = \frac{(2*4)}{(3*4*x)} =\frac{ 8}{(12*x)} $

    $ \frac{1}{4 }= \frac{(1*3*x)}{(3*4*x)} = \frac{(3*x)}{(12*x)} $

    Fractions adjusted to a common denominator

    $ \frac{2}{(3*x)} +\frac{ 1}{4 }=\frac{ 8}{(12*x)} + \frac{(3*x)}{(12*x)} $

    $ \frac{8}{(12*x)} + \frac{(3*x)}{(12*x)} = \frac{(3*x+8)}{(12*x)} $

    $ \frac{(3*x+8)}{(12*x)} = \frac{(3*x+8)}{(12*x)} $

    $ $

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