Respuesta :

Hello!

-[tex] \frac{3 x 3 + 1 }{3} ÷ [tex] \frac{4}{9} [/tex]

-[tex] \frac{10}{3} [/tex] ÷ [tex] \frac{4}{9} [/tex][tex]

-\frac{10}{3} [/tex] x -[tex] \frac{3}{4} [/tex]

-[tex] \frac{90}{12} [/tex]

Simplify -[tex] \frac{15}{2} [/tex]

Make mixed fraction -7[tex] \frac{1}{2} [/tex]

That's your answer.

Enjoy.
~Isabella

Answer:

[tex]-7\frac{1}{2}[/tex]

Step-by-step explanation:

To find the quotient, convert the mixed number to an improper fraction first

[tex]-3\frac{1}{3}=-\frac{3*3+1}{3}=-\frac{10}{3}[/tex]

Find the quotient now

[tex]\frac{(-10/3)}{(4/9)}=-\frac{10*9}{4*3}\\ \\=-\frac{90}{12}[/tex]

Simplify

Divide by [tex]6[/tex] both numerator and denominator

[tex]=-\frac{15}{2}=-7.5[/tex]

Convert to a mixed number

[tex]-7.5=-(7+0.5)=-(7+\frac{1}{2})=-7 \frac{1}{2}[/tex]

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