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The common denominator of the two fractions is: 300

$ \frac{5}{12 }= \frac{(5*25)}{(12*25)} =\frac{ 125}{300} $

$ \frac{24}{25 }= \frac{(12*24)}{(12*25)} =\frac{ 288}{300} $

Fractions adjusted to a common denominator

$ \frac{5}{12 }+\frac{ 24}{25 }=\frac{ 125}{300 }+\frac{ 288}{300} $

$ \frac{125}{300 }+\frac{ 288}{300 }= \frac{(125+288)}{300} $

$ \frac{(125+288)}{300 }=\frac{ 413}{300} $

$ $

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