Final answer:
To multiply fractions, multiply the numerators and denominators separately. Simplify the result by dividing by the greatest common factor.
Step-by-step explanation:
To multiply fractions, we multiply the numerators and denominators separately. In this case, we have (2/9) * (-1/4). Multiplying the numerators, we get 2 * -1 = -2. Multiplying the denominators, we get 9 * 4 = 36. So the result is -2/36.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor. The greatest common factor of -2 and 36 is 2. So dividing both by 2, we get -1/18. Therefore, the simplified form of the multiplication is -1/18.