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The common denominator of the two fractions is: 105

$ \frac{13}{35 }= \frac{(3*13)}{(3*35)} =\frac{ 39}{105} $

$ \frac{5}{21 }= \frac{(5*5)}{(5*21)} =\frac{ 25}{105} $

Fractions adjusted to a common denominator

$ \frac{13}{35 }+\frac{ 5}{21 }=\frac{ 39}{105 }+\frac{ 25}{105} $

$ \frac{39}{105 }+\frac{ 25}{105 }= \frac{(25+39)}{105} $

$ \frac{(25+39)}{105 }=\frac{ 64}{105} $

$ $

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