Hi there!
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I believe your answer is:
[tex]\text{A) }\frac{-7}{9}[/tex]
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Here’s why:
- We can apply the rules for products and quotients of values with different signs.
- If the signs of two numbers are the same, then the product/quotient would be positive.
- If the signs are different, the sign of the product/quotient would be negative.
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[tex]\boxed{\text{Equivalent Faction}}\\\\\rightarrow \frac{7}{-9}= -0.77777...... \leftarrow\\\\------------\\\text{Option A: } \frac{-7}{9} = -0.77777......\\\\\text{Option B: } \frac{-7}{-9}= 0.77777......\\\\\boxed{\text{Recall that if two numbers have the same sign then the product or quotient would be positive.}}\\\\\text{Option C: }\frac{7}{-(-9)}=\frac{7}{9} = 0.77777......\\\\\text{Option D: } \frac{-(-7)}{9}=\frac{7}{9} = 0.77777......[/tex]⸻⸻⸻⸻
Option A's fraction is equivalent.
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Hope this helps you. I apologize if it’s incorrect.
