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The common denominator of the two fractions is: 42

$ \frac{19}{14 }= \frac{(3*19)}{(3*14)} =\frac{ 57}{42} $

$ \frac{6}{21 }= \frac{(2*6)}{(2*21)} =\frac{ 12}{42} $

Fractions adjusted to a common denominator

$ \frac{19}{14 }+\frac{ 6}{21 }=\frac{ 57}{42 }+\frac{ 12}{42} $

$ \frac{57}{42 }+\frac{ 12}{42 }= \frac{(12+57)}{42} $

$ \frac{(12+57)}{42 }=\frac{ 69}{42} $

$ \frac{69}{42 }=\frac{ 23}{14} $

$ $

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