What is six sevenths times one third?

To find six sevenths times one third, you multiply the numerators and the denominators. So, ( \frac{6}{7} \times \frac{1}{3} = \frac{6 \times 1}{7 \times 3} = \frac{6}{21} ). This fraction can be simplified by dividing both the numerator and the denominator by 3, resulting in ( \frac{2}{7} ).