(31)/(52)-(17)/(44) - subtraction of fractions

(31)/(52)-(17)/(44) - step by step solution for the given fractions. Subtraction of fractions, full explanation.

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    Solution for the given fractions

    $ \frac{31}{52 }-\frac{ 17}{44 }=? $

    The common denominator of the two fractions is: 572

    $ \frac{31}{52 }= \frac{(11*31)}{(11*52)} =\frac{ 341}{572} $

    $ \frac{17}{44 }= \frac{(13*17)}{(13*44)} =\frac{ 221}{572} $

    Fractions adjusted to a common denominator

    $ \frac{31}{52 }-\frac{ 17}{44 }=\frac{ 341}{572 }-\frac{ 221}{572} $

    $ \frac{341}{572 }-\frac{ 221}{572 }= \frac{(341-221)}{572} $

    $ \frac{(341-221)}{572 }=\frac{ 120}{572} $

    $ \frac{120}{572 }=\frac{ 30}{143} $

    $ $

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