Step-by-step explanation:
1.
[tex]( - 8) \times \frac{2}{3} [/tex]
Put -8 over 1, then multiply.
[tex] \frac{ - 8}{1} \times \frac{2}{3} = \frac{ - 16}{3} [/tex]
Simplify:
[tex] (- \frac{16}{3}) =( - \frac{3}{3}) +( - \frac{3}{3}) + (- \frac{3}{3}) +( - \frac{3}{3}) +( - \frac{1}{3}) = ( - 5 \frac{1}{3} )[/tex]
-5 1/3 is the correct choice.
2.
[tex]( - 8) \times ( - \frac{2}{3} )[/tex]
Put -8 over 1, then multiply.
[tex] \frac{ - 8}{ - 1} \times \frac{ - 2}{ - 3} = \frac{ - 16}{ - 3} = \frac{16}{3} [/tex]
Simplify:
[tex] \frac{16}{3} = \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{1}{3} = 5 \frac{1}{3} [/tex]
5 1/3 is the correct choice.
3.
[tex] - \frac{18}{3} [/tex]
Turn into a whole number.
[tex]( - \frac{18}{3}) = (- \frac{3}{3}) + (- \frac{3}{3}) + (- \frac{3}{3}) + (- \frac{3}{3}) + (- \frac{3}{3}) + ( - \frac{3}{3} ) = - 6[/tex]
-6 is the correct choice.
4.
[tex] - \frac{18}{3} [/tex]
#4 has the same solution as #3, -6. Each has one negative numerator or denominator, making the same fractions negative.
5.
[tex]( \frac{ - 18}{ - 3} ) = \frac{18}{3} [/tex]
Turn 18/3 into a whole number.
[tex] \frac{18}{3} = \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} = 6[/tex]
6 is the correct choice.
