3. multiply and simplify your answer. show all work. -2 2/5 x (-3 5/6)= -2 2/5 x -3 5/6=

Explanation:

Step1: Convert mixed numbers to improper fractions

$$ -2\frac{2}{5}=-\frac{2\times5 + 2}{5}=-\frac{12}{5} $$ $$ -3\frac{5}{6}=-\frac{3\times6+5}{6}=-\frac{23}{6} $$

Step2: Multiply the two fractions

$$ \left(-\frac{12}{5}\right)\times\left(-\frac{23}{6}\right)=\frac{12\times23}{5\times6} $$

Step3: Simplify the fraction

$$ \frac{12\times23}{5\times6}=\frac{2\times23}{5\times1}=\frac{46}{5} = 9\frac{1}{5} $$

Answer:

$9\frac{1}{5}$