To solve the expression \( \frac{10}{15} - 4\sqrt{15} \), we will first simplify \( \frac{10}{15} \).
\[ \frac{10}{15} = \frac{2}{3} \]
Now we can rewrite the expression:
\[ \frac{2}{3} - 4\sqrt{15} \]
This expression cannot be simplified further, as \( 4\sqrt{15} \) is not a fraction and cannot combine with \( \frac{2}{3} \).
Thus, the final answer is:
\[ \frac{2}{3} - 4\sqrt{15} \]