Respuesta :

Answer:

[tex]\frac{14}{27}[/tex]

Step-by-step explanation:

  1. [tex]-1\frac{2}{7} = -\frac{9}{7}[/tex]  
  2. Plug -9/7 in: [tex]-\frac{2}{3}[/tex] ÷ [tex]-\frac{9}{7}[/tex]  
  3. -2/3 ÷ -9/7 = 2/3 ÷ 9/7 = 2/3 × 7/9
  4. [tex]\frac{2}{3}[/tex] × [tex]\frac{7}{9} = \frac{14}{27}[/tex]  

I hope this helps!

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[tex] \frac{2}{ - 3} \div (- 1 \frac{2}{7}) = \\ [/tex]

[tex] - \frac{2}{3} \div ( - \frac{ 7}{7} - \frac{2}{7} ) = \\ [/tex]

[tex] - \frac{2}{3} \div ( \frac{ - 7 - 2}{7} ) = \\ [/tex]

[tex] - \frac{2}{3} \div ( - \frac{9}{7} ) = \\ [/tex]

Negatives simplifies

[tex] \frac{2}{3} \div \frac{9}{7} = \\ [/tex]

[tex] \frac{2}{3} \times \frac{7}{9} = \\ [/tex]

[tex] \frac{14}{27} \\ [/tex]

Done...

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