(4)/(7X)-(1)/(X) - subtract fractions

(4)/(7X)-(1)/(X) - step by step solution for the given fractions. Subtract fractions, full explanation.

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    Solution for the given fractions

    • 4/(7*X) - 1/X = ?
    • The common denominator of the two fractions is: 7*X^2
    • 4/(7*X) = (4*X)/(7*X*X) = (4*X)/(7*X^2)
    • 1/X = (1*7*X)/(7*X*X) = (7*X)/(7*X^2)
    • Fractions adjusted to a common denominator
    • 4/(7*X) - 1/X = (4*X)/(7*X^2) - (7*X)/(7*X^2)
    • (4*X)/(7*X^2) - (7*X)/(7*X^2) = (4*X-(7*X))/(7*X^2)
    • (4*X-(7*X))/(7*X^2) = (-3*X)/(7*X^2)
    • (-3*X)/(7*X^2) = (-3*X^-1)/7

    Solution for the given fractions

    $ \frac{4}{(7*X)} -\frac{ 1}{X }=? $

    The common denominator of the two fractions is: 7*X^2

    $ \frac{4}{(7*X)} = \frac{(4*X)}{(7*X*X)} = \frac{(4*X)}{(7*X^2)} $

    $ \frac{1}{X }= \frac{(1*7*X)}{(7*X*X)} = \frac{(7*X)}{(7*X^2)} $

    Fractions adjusted to a common denominator

    $ \frac{4}{(7*X)} -\frac{ 1}{X }= \frac{(4*X)}{(7*X^2)} - \frac{(7*X)}{(7*X^2)} $

    $ \frac{(4*X)}{(7*X^2)} - \frac{(7*X)}{(7*X^2)} = \frac{(4*X-(7*X))}{(7*X^2)} $

    $ \frac{(4*X-(7*X))}{(7*X^2)} = \frac{(-3*X)}{(7*X^2)} $

    $ \frac{(-3*X)}{(7*X^2)} = \frac{(-3*X^-1)}{7} $

    $ $

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