Find the product in lowest terms. $$ \frac{9}{5} \cdot \frac{-3}{2} $$

Question

UpStudy AI · Accepted Answer

To find the product of the fractions $$\frac{9}{5}$$ and $$\frac{-3}{2}$$ in lowest terms, follow these steps:

1. **Multiply the numerators and the denominators:**

$$
\frac{9}{5} \times \frac{-3}{2} = \frac{9 \times (-3)}{5 \times 2} = \frac{-27}{10}
$$

2. **Simplify the resulting fraction:**

The fraction $$\frac{-27}{10}$$ is already in its lowest terms because 27 and 10 have no common factors other than 1.

So, the product in lowest terms is:

$$
\frac{-27}{10}
$$
The product in lowest terms is $$\frac{-27}{10}$$.

Find the product in lowest terms. \[ \frac{9}{5} \cdot \frac{-3}{2} \]