Question

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

Answer 1

To perform the division of two thirds by negative two thirds, we can express it mathematically as:

\[
\frac{2}{3} \div \left(-\frac{2}{3}\right)
\]

Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite this as:

\[
\frac{2}{3} \times \left(-\frac{3}{2}\right)
\]

Now, we can multiply the fractions:

\[
= \frac{2 \times (-3)}{3 \times 2}
\]
\[
= \frac{-6}{6}
\]
\[
= -1
\]

So the simplified answer is:

\[
\frac{2}{3} \div \left(-\frac{2}{3}\right) = -1
\]

**Answer:**

A. \(\frac{2}{3} \div \left(-\frac{2}{3}\right) = -1\)