To simplify the expression \( \frac{3}{5} \times \frac{2}{9} \), you multiply the numerators together and the denominators together:
\[ \frac{3 \times 2}{5 \times 9} = \frac{6}{45} \]
Next, we can simplify \( \frac{6}{45} \) by finding the greatest common divisor (GCD) of 6 and 45, which is 3.
Now, divide both the numerator and the denominator by 3:
\[ \frac{6 \div 3}{45 \div 3} = \frac{2}{15} \]
So the simplified result is:
\[ \frac{2}{15} \]
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