To compute \( \frac{5}{6} + \frac{3}{4} \), a common denominator is required for the fractions. The denominators are 6 and 4. The least common multiple (LCM) of 6 and 4 is 12. Both fractions will be converted to this common denominator.
\[ \frac{5}{6} \] is equivalent to \[ \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \].
\[ \frac{3}{4} \] is equivalent to \[ \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \].
The sum of the two fractions is then calculated:
\[ \frac{10}{12} + \frac{9}{12} = \frac{19}{12} \]
The resulting value is \[ \frac{19}{12} \].