(2)/(7)+(5)/(8) - addition of fractions

(2)/(7)+(5)/(8) - step by step solution for the given fractions. Addition of fractions, full explanation.

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    Solution for the given fractions

    $ \frac{2}{7 }+\frac{ 5}{8 }=? $

    The common denominator of the two fractions is: 56

    $ \frac{2}{7 }= \frac{(2*8)}{(7*8)} =\frac{ 16}{56} $

    $ \frac{5}{8 }= \frac{(5*7)}{(7*8)} =\frac{ 35}{56} $

    Fractions adjusted to a common denominator

    $ \frac{2}{7 }+\frac{ 5}{8 }=\frac{ 16}{56 }+\frac{ 35}{56} $

    $ \frac{16}{56 }+\frac{ 35}{56 }= \frac{(16+35)}{56} $

    $ \frac{(16+35)}{56 }=\frac{ 51}{56} $

    $ $

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