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

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

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    Solution for the given fractions

    • -8/5 + (2*7)/8 = ?
    • The common denominator of the two fractions is: 40
    • -8/5 = (-8*8)/(5*8) = -64/40
    • (2*7)/8 = (2*5*7)/(5*8) = 70/40
    • Fractions adjusted to a common denominator
    • -8/5 + (2*7)/8 = -64/40 + 70/40
    • -64/40 + 70/40 = (70-64)/40
    • (70-64)/40 = 6/40
    • 6/40 = 3/20

    Solution for the given fractions

    $ -\frac{8}{5 }+ \frac{(2*7)}{8 }=? $

    The common denominator of the two fractions is: 40

    $ -\frac{8}{5 }= \frac{(-8*8)}{(5*8)} = -\frac{64}{40} $

    $ \frac{(2*7)}{8 }= \frac{(2*5*7)}{(5*8)} =\frac{ 70}{40} $

    Fractions adjusted to a common denominator

    $ -\frac{8}{5 }+ \frac{(2*7)}{8 }= -\frac{64}{40 }+\frac{ 70}{40} $

    $ -\frac{64}{40 }+\frac{ 70}{40 }= \frac{(70-64)}{40} $

    $ \frac{(70-64)}{40 }=\frac{ 6}{40} $

    $ \frac{6}{40 }=\frac{ 3}{20} $

    $ $

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