Respuesta :

Solution:

It should be noted:

  • If a fraction is being divided, the divisor will become it's reciprocal and the sign changes to a multiplication sign.

Finding the quotient.

  • -4/9 ÷ -1/3
  • => -4/9 x -3                                                                          

Multiplying both terms.

  • => -4/9 x -3
  • => 12/9

Simplifying the fraction

  • => 12/9
  • => 4 x 3/3 x 3
  • => 4/3

Converting the fraction into mixed fraction

  • => 4/3 = 1 1/3 (Option D)

Option D is correct.

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Answer:

[tex]\sf 1\dfrac{1}{3}[/tex]

Explanation:

[tex]\hookrightarrow \sf \dfrac{-4}{9} / \dfrac{-1}{3}[/tex]

manipulate sides by changing signs

[tex]\hookrightarrow \sf\dfrac{-4}{9} *\dfrac{3}{-1}[/tex]

simplify by multiplication

[tex]\hookrightarrow \sf \dfrac{-12}{-9}[/tex]

the negatives cancels out

[tex]\hookrightarrow \sf \dfrac{12}{9}[/tex]

simplify

[tex]\hookrightarrow \sf \dfrac{4}{3}[/tex]

turn this into mixed fraction

[tex]\hookrightarrow \sf 1\dfrac{1}{3}[/tex]

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