(3)/(7)+(5)/(6) - addition of fractions

(3)/(7)+(5)/(6) - step by step solution for the given fractions. Addition of fractions, full explanation.

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    Solution for the given fractions

    • 3/7 + 5/6 = ?
    • The common denominator of the two fractions is: 42
    • 3/7 = (3*6)/(6*7) = 18/42
    • 5/6 = (5*7)/(6*7) = 35/42
    • Fractions adjusted to a common denominator
    • 3/7 + 5/6 = 18/42 + 35/42
    • 18/42 + 35/42 = (18+35)/42
    • (18+35)/42 = 53/42

    Solution for the given fractions

    $ \frac{3}{7 }+\frac{ 5}{6 }=? $

    The common denominator of the two fractions is: 42

    $ \frac{3}{7 }= \frac{(3*6)}{(6*7)} =\frac{ 18}{42} $

    $ \frac{5}{6 }= \frac{(5*7)}{(6*7)} =\frac{ 35}{42} $

    Fractions adjusted to a common denominator

    $ \frac{3}{7 }+\frac{ 5}{6 }=\frac{ 18}{42 }+\frac{ 35}{42} $

    $ \frac{18}{42 }+\frac{ 35}{42 }= \frac{(18+35)}{42} $

    $ \frac{(18+35)}{42 }=\frac{ 53}{42} $

    $ $

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