To add the fractions \( \frac{3}{4} \) and \( \frac{7}{6} \), you'll first need to find a common denominator. The least common multiple of 4 and 6 is 12.
Next, convert each fraction to have a denominator of 12:
For \( \frac{3}{4} \): \[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]
For \( \frac{7}{6} \): \[ \frac{7}{6} = \frac{7 \times 2}{6 \times 2} = \frac{14}{12} \]
Now, add the two fractions: \[ \frac{9}{12} + \frac{14}{12} = \frac{9 + 14}{12} = \frac{23}{12} \]
Thus, \( \frac{3}{4} + \frac{7}{6} = \frac{23}{12} \) or \( 1 \frac{11}{12} \) as a mixed number.
