We start with the fractions \( \frac{4}{6} \) and \( \frac{3}{4} \).
The fraction \( \frac{4}{6} \) can be simplified to \( \frac{2}{3} \).
The least common denominator (LCD) of \( 3 \) and \( 4 \) is \( 12 \).
We convert the fractions to have the common denominator:
Now we add the two fractions: \[ \frac{8}{12} + \frac{9}{12} = \frac{8 + 9}{12} = \frac{17}{12} \]
The final result of the addition is \\(\boxed{\frac{17}{12}}\\).
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