To add the fractions \( \frac{2}{3} \) and \( \frac{3}{4} \), you need a common denominator. The least common multiple of 3 and 4 is 12.
Now, convert each fraction:
Convert \( \frac{2}{3} \): \[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]
Convert \( \frac{3}{4} \): \[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]
Now, add the two fractions: \[ \frac{8}{12} + \frac{9}{12} = \frac{17}{12} \]
So, \( \frac{2}{3} + \frac{3}{4} = \frac{17}{12} \), which can also be expressed as a mixed number: \[ \frac{17}{12} = 1 \frac{5}{12} \]
Final answer: \( \frac{17}{12} \) or \( 1 \frac{5}{12} \).
