To multiply the fractions \( \frac{3}{28} \) and \( \frac{7}{9} \), you can multiply the numerators together and the denominators together:
\[ \frac{3 \times 7}{28 \times 9} = \frac{21}{252} \]
Now, simplify \( \frac{21}{252} \). The greatest common divisor (GCD) of 21 and 252 is 21. Therefore, divide both the numerator and denominator by 21:
\[ \frac{21 \div 21}{252 \div 21} = \frac{1}{12} \]
So, the simplified result of \( \frac{3}{28} \times \frac{7}{9} \) is \( \frac{1}{12} \).