(10)/(x-2)-(7)/(x) - subtraction of fractions

(10)/(x-2)-(7)/(x) - step by step solution for the given fractions. Subtraction of fractions, full explanation.

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    Solution for the given fractions

    • 10/(x-2) - 7/x = ?
    • The common denominator of the two fractions is: x*(x-2)
    • 10/(x-2) = (10*x)/(x*(x-2)) = (10*x)/(x*(x-2))
    • 7/x = (7*(x-2))/(x*(x-2)) = (7*(x-2))/(x*(x-2))
    • Fractions adjusted to a common denominator
    • 10/(x-2) - 7/x = (10*x)/(x*(x-2)) - (7*(x-2))/(x*(x-2))
    • (10*x)/(x*(x-2)) - (7*(x-2))/(x*(x-2)) = (10*x-(7*(x-2)))/(x*(x-2))
    • (10*x-(7*(x-2)))/(x*(x-2)) = (10*x-7*(x-2))/(x*(x-2))

    Solution for the given fractions

    $ \frac{10}{(x-2)} -\frac{ 7}{x }=? $

    The common denominator of the two fractions is: x*(x-2)

    $ \frac{10}{(x-2)} = \frac{(10*x)}{(x*(x-2))} = \frac{(10*x)}{(x*(x-2))} $

    $ \frac{7}{x }= \frac{(7*(x-2))}{(x*(x-2))} = \frac{(7*(x-2))}{(x*(x-2))} $

    Fractions adjusted to a common denominator

    $ \frac{10}{(x-2)} -\frac{ 7}{x }= \frac{(10*x)}{(x*(x-2))} - \frac{(7*(x-2))}{(x*(x-2))} $

    $ \frac{(10*x)}{(x*(x-2))} - \frac{(7*(x-2))}{(x*(x-2))} = \frac{(10*x-(7*(x-2)))}{(x*(x-2))} $

    $ \frac{(10*x-(7*(x-2)))}{(x*(x-2))} = \frac{(10*x-7*(x-2))}{(x*(x-2))} $

    $ $

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