Respuesta :

Answer:

-12

Step-by-step explanation:

Convert the mixed number to an improper fraction.

-2[tex]\frac{2}{3}[/tex] = [tex]-\frac{8}{3}[/tex]

To divide, just multiply by the reciprocal.

So -2[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{2}{9}[/tex] becomes [tex]-\frac{8}{3}[/tex] ÷

Now you can multiply straight across.

[tex]-\frac{8}{3}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]-\frac{72}{6}[/tex]

And simplify.

[tex]-\frac{72}{6}[/tex] = -12

Please mark as Brainliest! :)

[tex](-2\frac{2}{3})/\frac{2}{9}\\[/tex], convert -2&2/3 to improper fraction. Use this rule: a&b/c=ac+b/c.

[tex]-\frac{2*3+2}{3} /\frac{2}{9}\\\\-\frac{8}{3} /\frac{2}{9} \\[/tex]

Use this rule: a÷b/c=a*c/b

[tex]-\frac{8}{3}* \frac{9}{2}[/tex]

Use this rule: a/b*c/d=ac/bd

[tex]-\frac{8*9}{3*2} \\\\-\frac{72}{3*2} \\\\-\frac{72}{6}=-12[/tex]

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤