### Instruction: What is $\frac{-5}{9}\cdot \frac{8}{17}$?### Response: To multiply two fractions, I can multiply the numerators and the denominators separately.
The numerator of the product is $-5 \cdot 8$, which is $-40$.
The denominator of the product is $9 \cdot 17$, which is $153$.
So the product is $\frac{-40}{153}$.
I can check if this fraction can be simplified by looking for a common factor in the numerator and the denominator.
The greatest common factor of $40$ and $153$ is $1$, so the fraction is already in simplest form.
I can also check if the fraction is equivalent to a decimal by dividing the numerator by the denominator.
Dividing $-40$ by $153$, I get $-0.26\overline{14}$, which is a repeating decimal.