Simplify 3/5×2/9

1 answer

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:

\[ \frac{2}{15} \]