How do you multiply mixed numbers, for example, 2 rac57 imes 4 rac56?

To convert a mixed number $a\frac{b}{c}$ to an improper fraction, use the formula $\frac{(a \times c) + b}{c}$.
For $2\frac{5}{7}$:

$$2\frac{5}{7} = \frac{(2 \times 7) + 5}{7} = \frac{14 + 5}{7} = \frac{19}{7}$$

For $4\frac{5}{6}$:

$$4\frac{5}{6} = \frac{(4 \times 6) + 5}{6} = \frac{24 + 5}{6} = \frac{29}{6}$$

Multiply the numerators together and the denominators together.

$$\frac{19}{7} \times \frac{29}{6} = \frac{19 \times 29}{7 \times 6}$$

$$19 \times 29 = 551$$ $$7 \times 6 = 42$$

So, the product is $\frac{551}{42}$.

Divide the numerator (551) by the denominator (42).

$$551 \div 42$$

$551 = 42 \times 13 + 5$
The quotient is 13, and the remainder is 5.
So, $\frac{551}{42}$ as a mixed number is $13\frac{5}{42}$.

The final answer is $13\frac{5}{42}$.