Question

Perform the indicated division or state that the expression is undefined.
seven eighths divided by left parenthesis negative seven eighths right parenthesis
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Part 1
Select the correct choice below and fill in any answer boxes in your choice.
A.
seven eighths divided by left parenthesis negative seven eighths right parenthesis
equals
  
enter your response here ​(Simplify your​ answer.)
B.
The solution is undefined.

Answer 1

To perform the division of \(\frac{7}{8}\) by \(-\frac{7}{8}\), you can follow these steps:

1. Rewrite the division as a multiplication by the reciprocal:
\[
\frac{7}{8} \div \left(-\frac{7}{8}\right) = \frac{7}{8} \times \left(-\frac{8}{7}\right)
\]

2. Multiply the fractions:
\[
= \frac{7 \times -8}{8 \times 7} = \frac{-56}{56} = -1
\]

Thus, the final answer is:
\[
\frac{7}{8} \div \left(-\frac{7}{8}\right) = -1
\]

So, the correct choice is:
A. seven eighths divided by left parenthesis negative seven eighths right parenthesis equals \(-1\).