(23)/(5)+(31)/(9) - addition of fractions

(23)/(5)+(31)/(9) - step by step solution for the given fractions. Addition of fractions, full explanation.

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    Solution for the given fractions

    • 23/5 + 31/9 = ?
    • The common denominator of the two fractions is: 45
    • 23/5 = (9*23)/(5*9) = 207/45
    • 31/9 = (5*31)/(5*9) = 155/45
    • Fractions adjusted to a common denominator
    • 23/5 + 31/9 = 207/45 + 155/45
    • 207/45 + 155/45 = (155+207)/45
    • (155+207)/45 = 362/45

    Solution for the given fractions

    $ \frac{23}{5 }+\frac{ 31}{9 }=? $

    The common denominator of the two fractions is: 45

    $ \frac{23}{5 }= \frac{(9*23)}{(5*9)} =\frac{ 207}{45} $

    $ \frac{31}{9 }= \frac{(5*31)}{(5*9)} =\frac{ 155}{45} $

    Fractions adjusted to a common denominator

    $ \frac{23}{5 }+\frac{ 31}{9 }=\frac{ 207}{45 }+\frac{ 155}{45} $

    $ \frac{207}{45 }+\frac{ 155}{45 }= \frac{(155+207)}{45} $

    $ \frac{(155+207)}{45 }=\frac{ 362}{45} $

    $ $

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