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The common denominator of the two fractions is: 84

$ \frac{9}{14 }= \frac{(6*9)}{(6*14)} =\frac{ 54}{84} $

$ \frac{8}{12 }= \frac{(7*8)}{(7*12)} =\frac{ 56}{84} $

Fractions adjusted to a common denominator

$ \frac{9}{14 }+\frac{ 8}{12 }=\frac{ 54}{84 }+\frac{ 56}{84} $

$ \frac{54}{84 }+\frac{ 56}{84 }= \frac{(54+56)}{84} $

$ \frac{(54+56)}{84 }=\frac{ 110}{84} $

$ \frac{110}{84 }=\frac{ 55}{42} $

$ $

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