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The common denominator of the two fractions is: 18

$ \frac{14}{9 }= \frac{(2*14)}{(2*9)} =\frac{ 28}{18} $

$ \frac{7}{6 }= \frac{(3*7)}{(3*6)} =\frac{ 21}{18} $

Fractions adjusted to a common denominator

$ \frac{14}{9 }+\frac{ 7}{6 }=\frac{ 28}{18 }+\frac{ 21}{18} $

$ \frac{28}{18 }+\frac{ 21}{18 }= \frac{(21+28)}{18} $

$ \frac{(21+28)}{18 }=\frac{ 49}{18} $

$ $

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