To add the fractions \( \frac{3}{4} \) and \( \frac{5}{6} \), you need a common denominator.
The least common multiple (LCM) of 4 and 6 is 12.
Now, convert each fraction to have a denominator of 12:
\[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]
\[ \frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \]
Now add the two fractions:
\[ \frac{9}{12} + \frac{10}{12} = \frac{19}{12} \]
So, \( \frac{3}{4} + \frac{5}{6} = \frac{19}{12} \) or approximately \( 1.5833 \) in decimal form.