To add the fractions \( \frac{3}{4} \) and \( \frac{2}{3} \), you'll need to find a common denominator.
The least common denominator (LCD) of 4 and 3 is 12. Now convert each fraction:
Convert \( \frac{3}{4} \): \[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]
Convert \( \frac{2}{3} \): \[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]
Now add the converted fractions: \[ \frac{9}{12} + \frac{8}{12} = \frac{9 + 8}{12} = \frac{17}{12} \]
Thus, \( \frac{3}{4} + \frac{2}{3} = \frac{17}{12} \) or \( 1 \frac{5}{12} \) in mixed number form.
