(2x-7)/(3x)+(4x-9)/(6) - adding of fractions

(2x-7)/(3x)+(4x-9)/(6) - step by step solution for the given fractions. Adding of fractions, full explanation.

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    Solution for the given fractions

    • (2*x-7)/(3*x) + (4*x-9)/6 = ?
    • The common denominator of the two fractions is: 18*x
    • (2*x-7)/(3*x) = (6*(2*x-7))/(3*6*x) = (6*(2*x-7))/(18*x)
    • (4*x-9)/6 = (3*x*(4*x-9))/(3*6*x) = (3*x*(4*x-9))/(18*x)
    • Fractions adjusted to a common denominator
    • (2*x-7)/(3*x) + (4*x-9)/6 = (6*(2*x-7))/(18*x) + (3*x*(4*x-9))/(18*x)
    • (6*(2*x-7))/(18*x) + (3*x*(4*x-9))/(18*x) = (6*(2*x-7)+3*x*(4*x-9))/(18*x)
    • (6*(2*x-7)+3*x*(4*x-9))/(18*x) = (6*(2*x-7)+3*x*(4*x-9))/(18*x)

    Solution for the given fractions

    $ \frac{(2*x-7)}{(3*x)} + \frac{(4*x-9)}{6 }=? $

    The common denominator of the two fractions is: 18*x

    $ \frac{(2*x-7)}{(3*x)} = \frac{(6*(2*x-7))}{(3*6*x)} = \frac{(6*(2*x-7))}{(18*x)} $

    $ \frac{(4*x-9)}{6 }= \frac{(3*x*(4*x-9))}{(3*6*x)} = \frac{(3*x*(4*x-9))}{(18*x)} $

    Fractions adjusted to a common denominator

    $ \frac{(2*x-7)}{(3*x)} + \frac{(4*x-9)}{6 }= \frac{(6*(2*x-7))}{(18*x)} + \frac{(3*x*(4*x-9))}{(18*x)} $

    $ \frac{(6*(2*x-7))}{(18*x)} + \frac{(3*x*(4*x-9))}{(18*x)} = \frac{(6*(2*x-7)+3*x*(4*x-9))}{(18*x)} $

    $ \frac{(6*(2*x-7)+3*x*(4*x-9))}{(18*x)} = \frac{(6*(2*x-7)+3*x*(4*x-9))}{(18*x)} $

    $ $

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