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The common denominator of the two fractions is: 60

$ \frac{1}{15 }= \frac{(1*4)}{(4*15)} =\frac{ 4}{60} $

$ \frac{3}{12 }= \frac{(3*5)}{(5*12)} =\frac{ 15}{60} $

Fractions adjusted to a common denominator

$ \frac{1}{15 }+\frac{ 3}{12 }=\frac{ 4}{60 }+\frac{ 15}{60} $

$ \frac{4}{60 }+\frac{ 15}{60 }= \frac{(4+15)}{60} $

$ \frac{(4+15)}{60 }=\frac{ 19}{60} $

$ $

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