2/3 / 1/6=___________

Answer 1

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.

So, to solve \( \frac{2}{3} \div \frac{1}{6} \):

1. The reciprocal of \( \frac{1}{6} \) is \( \frac{6}{1} \).
2. Now, multiply \( \frac{2}{3} \) by \( \frac{6}{1} \):

\[ \frac{2}{3} \times \frac{6}{1} = \frac{2 \times 6}{3 \times 1} = \frac{12}{3} = 4 \]

Thus, \( \frac{2}{3} \div \frac{1}{6} = 4 \).