Question

Calculate the value of each expression: (-8)•(-2/3) SHOW YOUR WORK:

Answer 1

Answer: $\frac{16}{3}$

Step-by-step explanation:

For this exercise it is important to remember  the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

In this case, given the following expression:

$(-8)(-\frac{2}{3})$

You can idenfity that both factors are negative. Then, the product (The result of the multiplication) will be positive.

Then, in order to get the product, you need to multiply the numerator of the fraction by -8. So, you get:

 $\frac{(-2)(-8)}{3}=\frac{16}{3}$

You can notice that the numerator and the denominator of the fraction obtained cannot be divided by the same number; therefore, the fraction cannot be simplified.