ANSWER
The product is
[tex] \frac{2}{55}[/tex]
EXPLANATION
To find the product of
[tex] - \frac{3}{11} [/tex]
and
[tex] \frac{ - 2}{15} [/tex]
means we should multiply the two fractions.
We multiply to obtain,
[tex] - \frac{3}{11} \times - \frac{2}{15} [/tex]
[tex] = - \frac{3}{11} \times - \frac{2}{3 \times 5} [/tex]
Cancel the common factors:
[tex] = - \frac{1}{11} \times - \frac{2}{5} [/tex]
Now, multiply the numerators separately and the denominators too separately.
[tex] = \frac{ - 1 \times - 2}{11 \times 5} [/tex]
This simplifies to,
[tex] = \frac{2}{55}[/tex]
