To divide \( \frac{1}{5} \) by \( \frac{2}{9} \), you can multiply \( \frac{1}{5} \) by the reciprocal of \( \frac{2}{9} \). The reciprocal of \( \frac{2}{9} \) is \( \frac{9}{2} \).
So, the division becomes:
\[ \frac{1}{5} \div \frac{2}{9} = \frac{1}{5} \times \frac{9}{2} \]
Now, multiply the fractions:
\[ \frac{1 \times 9}{5 \times 2} = \frac{9}{10} \]
Therefore, \( \frac{1}{5} \div \frac{2}{9} = \frac{9}{10} \).
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