To multiply fractions, you simply multiply the numerators together and the denominators together.
(-3/4) * (4/27) = (-3 * 4) / (4 * 27) = -12 / 108
Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12.
-12 / 108 = (-12 ÷ 12) / (108 ÷ 12) = -1 / 9
So, the result of multiplying -3/4 by 4/27 is -1/9.