To add the fractions \(\frac{2}{3}\) and \(\frac{3}{8}\), we first need to find a common denominator. The denominators are 3 and 8.
The least common multiple (LCM) of 3 and 8 is 24. We will convert each fraction to have this common denominator.
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Convert \(\frac{2}{3}\) to a fraction with a denominator of 24: \[ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} \]
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Convert \(\frac{3}{8}\) to a fraction with a denominator of 24: \[ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} \]
Now we can add the two fractions: \[ \frac{16}{24} + \frac{9}{24} = \frac{16 + 9}{24} = \frac{25}{24} \]
The fraction \(\frac{25}{24}\) is already in its simplest form.
Thus, the final answer is: \[ \frac{25}{24} \]