(7)/(m+6)+(9)/(10m+3) - adding of fractions

(7)/(m+6)+(9)/(10m+3) - step by step solution for the given fractions. Adding of fractions, full explanation.

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    Solution for the given fractions

    • 7/(m+6) + 9/(10*m+3) = ?
    • The common denominator of the two fractions is: (m+6)*(10*m+3)
    • 7/(m+6) = (7*(10*m+3))/((m+6)*(10*m+3)) = (7*(10*m+3))/((m+6)*(10*m+3))
    • 9/(10*m+3) = (9*(m+6))/((10*m+3)*(m+6)) = (9*(m+6))/((m+6)*(10*m+3))
    • Fractions adjusted to a common denominator
    • 7/(m+6) + 9/(10*m+3) = (7*(10*m+3))/((m+6)*(10*m+3)) + (9*(m+6))/((m+6)*(10*m+3))
    • (7*(10*m+3))/((m+6)*(10*m+3)) + (9*(m+6))/((m+6)*(10*m+3)) = (7*(10*m+3)+9*(m+6))/((m+6)*(10*m+3))
    • (7*(10*m+3)+9*(m+6))/((m+6)*(10*m+3)) = (7*(10*m+3)+9*(m+6))/((m+6)*(10*m+3))

    Solution for the given fractions

    $ \frac{7}{(m+6)} +\frac{ 9}{(10*m+3)} =? $

    The common denominator of the two fractions is: (m+6)*(10*m+3)

    $ \frac{7}{(m+6)} = \frac{(7*(10*m+3))}{((m+6)*(10*m+3))} = \frac{(7*(10*m+3))}{((m+6)*(10*m+3))} $

    $ \frac{9}{(10*m+3)} = \frac{(9*(m+6))}{((10*m+3)*(m+6))} = \frac{(9*(m+6))}{((m+6)*(10*m+3))} $

    Fractions adjusted to a common denominator

    $ \frac{7}{(m+6)} +\frac{ 9}{(10*m+3)} = \frac{(7*(10*m+3))}{((m+6)*(10*m+3))} + \frac{(9*(m+6))}{((m+6)*(10*m+3))} $

    $ \frac{(7*(10*m+3))}{((m+6)*(10*m+3))} + \frac{(9*(m+6))}{((m+6)*(10*m+3))} = \frac{(7*(10*m+3)+9*(m+6))}{((m+6)*(10*m+3))} $

    $ \frac{(7*(10*m+3)+9*(m+6))}{((m+6)*(10*m+3))} = \frac{(7*(10*m+3)+9*(m+6))}{((m+6)*(10*m+3))} $

    $ $

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