To add the fractions \( \frac{3}{4} \) and \( \frac{5}{12} \), we need to find a common denominator.
The least common multiple (LCM) of the denominators 4 and 12 is 12. Now we will convert \( \frac{3}{4} \) to a fraction with a denominator of 12:
\[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]
Now we can add \( \frac{9}{12} \) and \( \frac{5}{12} \):
\[ \frac{9}{12} + \frac{5}{12} = \frac{9 + 5}{12} = \frac{14}{12} \]
Now we can simplify \( \frac{14}{12} \):
\[ \frac{14}{12} = \frac{14 \div 2}{12 \div 2} = \frac{7}{6} \]
So the final result is \( \frac{7}{6} \).
In the bracketed form, you can write it as \( [7] [1] / [6] \).
Thus, the answer is:
\[ 7 ; 1/6 \] or \[ [7] [1]/[6] \]