To solve \( \frac{2}{3} \div \frac{1}{6} \), you can think about how many sixths are in two-thirds.
First, we convert \( \frac{2}{3} \) to sixths:
- To convert \( \frac{2}{3} \) to sixths, we need to find an equivalent fraction with a denominator of 6.
- Since \( 3 \) can be multiplied by 2 to get 6, we multiply the numerator by 2 as well:
\[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \]
Now, we can see how many sixths (or \( \frac{1}{6} \)) fit into \( \frac{4}{6} \):
- Since \( \frac{4}{6} \) represents four sixths, it means:
\[ \frac{4}{6} = 4 \times \frac{1}{6} \]
Thus, there are four equal parts of \( \frac{1}{6} \) in \( \frac{2}{3} \).
Finally, the answer to \( \frac{2}{3} \div \frac{1}{6} \) is \( 4 \).
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