(2)/(5)+(1)/(9) - adding of fractions

(2)/(5)+(1)/(9) - step by step solution for the given fractions. Adding of fractions, full explanation.

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    Solution for the given fractions

    $ \frac{2}{5 }+\frac{ 1}{9 }=? $

    The common denominator of the two fractions is: 45

    $ \frac{2}{5 }= \frac{(2*9)}{(5*9)} =\frac{ 18}{45} $

    $ \frac{1}{9 }= \frac{(1*5)}{(5*9)} =\frac{ 5}{45} $

    Fractions adjusted to a common denominator

    $ \frac{2}{5 }+\frac{ 1}{9 }=\frac{ 18}{45 }+\frac{ 5}{45} $

    $ \frac{18}{45 }+\frac{ 5}{45 }= \frac{(5+18)}{45} $

    $ \frac{(5+18)}{45 }=\frac{ 23}{45} $

    $ $

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