Final answer:
To multiply two mixed numbers, convert them to improper fractions first. Then, multiply the fractions and simplify the result. In this case, the simplified result is 9.
Step-by-step explanation:
To multiply two mixed numbers, you need to convert them into improper fractions first. Let's start by converting $-3\frac{1}{3}$ into an improper fraction:
$-3\frac{1}{3} = -3 + \frac{1}{3} = -\frac{10}{3}$
We can convert $-2\frac{7}{10}$ into an improper fraction as well:
$-2\frac{7}{10} = -2 - \frac{7}{10} = -\frac{20}{10} - \frac{7}{10} = -\frac{27}{10}$
Now, we can multiply the two fractions:
$-\frac{10}{3} \cdot -\frac{27}{10} = \frac{10}{3} \cdot \frac{27}{10} = \frac{270}{30} = \frac{9}{1} = 9$
Therefore, $-3\frac{1}{3} \cdot -2\frac{7}{10} = 9$ in simplest form.
Learn more about Multiplying mixed numbers