What is 29

What is the product of negative 2 and 2 over 5 and negative 3 and 5 over 6? Enter your answer as a mixed number or improper fraction in the simplest form.

Correct answer:

x =  9 ¹⁄₅ = 46/5

Step-by-step explanation:

$$\begin{gathered} a=-2\frac{2}{5}=-(2+\frac{2}{5})=-\frac{2\cdot 5+2}{5}=-\frac{10+2}{5}=-\frac{12}{5}=-2.4 \\ b=-3\frac{5}{6}=-(3+\frac{5}{6})=-\frac{3\cdot 6+5}{6}=-\frac{18+5}{6}=-\frac{23}{6}\doteq -3.8333 \\ x=a\cdot b=\frac{-12}{5}\cdot \frac{-23}{6}=\frac{-12\cdot -23}{5\cdot 6}=\frac{276}{30}=\frac{46}{5}=9\frac{1}{5}=9.2 \end{gathered}$$

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