(9)/(14)+(10)/(21) - adding of fractions

(9)/(14)+(10)/(21) - step by step solution for the given fractions. Adding of fractions, full explanation.

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    Solution for the given fractions

    • 9/14 + 10/21 = ?
    • The common denominator of the two fractions is: 42
    • 9/14 = (3*9)/(3*14) = 27/42
    • 10/21 = (2*10)/(2*21) = 20/42
    • Fractions adjusted to a common denominator
    • 9/14 + 10/21 = 27/42 + 20/42
    • 27/42 + 20/42 = (20+27)/42
    • (20+27)/42 = 47/42

    Solution for the given fractions

    $ \frac{9}{14 }+\frac{ 10}{21 }=? $

    The common denominator of the two fractions is: 42

    $ \frac{9}{14 }= \frac{(3*9)}{(3*14)} =\frac{ 27}{42} $

    $ \frac{10}{21 }= \frac{(2*10)}{(2*21)} =\frac{ 20}{42} $

    Fractions adjusted to a common denominator

    $ \frac{9}{14 }+\frac{ 10}{21 }=\frac{ 27}{42 }+\frac{ 20}{42} $

    $ \frac{27}{42 }+\frac{ 20}{42 }= \frac{(20+27)}{42} $

    $ \frac{(20+27)}{42 }=\frac{ 47}{42} $

    $ $

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