To multiply the fractions \( \frac{20}{7} \) and \( \frac{3}{4} \), you multiply the numerators together and the denominators together.
\[ \frac{20}{7} \times \frac{3}{4} = \frac{20 \times 3}{7 \times 4} = \frac{60}{28} \]
Now, you can simplify \( \frac{60}{28} \). The greatest common divisor (GCD) of 60 and 28 is 4.
\[ \frac{60 \div 4}{28 \div 4} = \frac{15}{7} \]
So, \( \frac{20}{7} \times \frac{3}{4} = \frac{15}{7} \) or \( 2 \frac{1}{7} \) in mixed number form.