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The common denominator of the two fractions is: 60

$ \frac{13}{20 }= \frac{(3*13)}{(3*20)} =\frac{ 39}{60} $

$ \frac{1}{6 }= \frac{(1*10)}{(6*10)} =\frac{ 10}{60} $

Fractions adjusted to a common denominator

$ \frac{13}{20 }+\frac{ 1}{6 }=\frac{ 39}{60 }+\frac{ 10}{60} $

$ \frac{39}{60 }+\frac{ 10}{60 }= \frac{(10+39)}{60} $

$ \frac{(10+39)}{60 }=\frac{ 49}{60} $

$ $

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