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The common denominator of the two fractions is: 104

$ \frac{5}{8 }= \frac{(5*13)}{(8*13)} =\frac{ 65}{104} $

$ \frac{1}{26 }= \frac{(1*4)}{(4*26)} =\frac{ 4}{104} $

Fractions adjusted to a common denominator

$ \frac{5}{8 }+\frac{ 1}{26 }=\frac{ 65}{104 }+\frac{ 4}{104} $

$ \frac{65}{104 }+\frac{ 4}{104 }= \frac{(4+65)}{104} $

$ \frac{(4+65)}{104 }=\frac{ 69}{104} $

$ $

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