Respuesta :

[tex]\\ \rm\Rrightarrow -4\dfrac{1}{2}\div(\dfrac{-2}{3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-9}{2}\times\dfrac{-3}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrav{9(3)}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{27}{4}[/tex]

[tex]\\ \rm\Rrightarrow6 \dfrac{3}{4}[/tex]

igoroleshko156

Answer:

[tex]6\frac{3}{4}[/tex]

Step-by-step explanation:

Step 1:  Convert the division to a multiplication

[tex]-4\frac{1}{2} / (-\frac{2}{3})[/tex]

[tex]-4\frac{1}{2} * (-\frac{3}{2})[/tex]

Step 2:  Convert to improper fraction

[tex]-\frac{1+(4*2)}{2} * (-\frac{3}{2})[/tex]

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

[tex]\frac{27}{4}[/tex]

Step 3:  Convert to mixed number

[tex]\frac{27}{4}[/tex]

[tex]\frac{4+4+4+4+4+4+3}{4}[/tex]

[tex]6\frac{3}{4}[/tex]

Answer:  [tex]6\frac{3}{4}[/tex]

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