41.10. 6

$$4\frac{1}{6} \cdot 10 = \frac{4 \cdot 6 + 1}{6} \cdot 10 = \frac{25}{6} \cdot 10 = \frac{25 \cdot 10}{6} = \frac{250}{6} = 41 \frac{4}{6} = 41 \frac{2}{3}$$.

Ответ: $$41 \frac{2}{3}$$.