To solve \( \frac{13}{6} - \frac{4}{3} \), we first need a common denominator. The denominator of the first fraction is 6, and the denominator of the second fraction is 3. The least common multiple of 6 and 3 is 6.
Next, we convert \( \frac{4}{3} \) to have a denominator of 6:
\[ \frac{4}{3} = \frac{4 \times 2}{3 \times 2} = \frac{8}{6} \]
Now we can subtract the two fractions:
\[ \frac{13}{6} - \frac{8}{6} = \frac{13 - 8}{6} = \frac{5}{6} \]
Thus, \( \frac{13}{6} - \frac{4}{3} = \frac{5}{6} \).