Question

Simplify. $$\left(-\frac{3}{4}\right)\left(\frac{3 y}{-5}\right)$$

Short answer

\( \frac{9y}{20} \)

Step-by-step solution

Multiply the Numerators

Multiply the numerators from both fractions, which are -3 and 3y. This will result in -9y.

Multiply the Denominators

Next, multiply the denominators from both fractions, which are 4 and -5. This will result in -20.

Simplify the Fraction

You should note that the product of two negatives is a positive. Therefore, even though you're left with -9y over -20, the two negative signs cancel out, resulting in a final answer of \( \frac{9y}{20} \).