Question

Which fraction is equivalent to -3/2?
-(3/-2), -(-3/2), -3/-2, 3/-2

Answer 1

To determine which fraction is equivalent to \(-\frac{3}{2}\), let's analyze each option:

1. \(-\left(\frac{3}{-2}\right)\): This can be simplified:
\[
-\left(\frac{3}{-2}\right) = -(-\frac{3}{2}) = \frac{3}{2}, \text{ not equivalent.}
\]

2. \(-\left(-\frac{3}{2}\right)\): This can be simplified as well:
\[
-(-\frac{3}{2}) = \frac{3}{2}, \text{ not equivalent.}
\]

3. \(-\frac{3}{-2}\): This can be simplified to:
\[
-\frac{3}{-2} = \frac{3}{2}, \text{ not equivalent.}
\]

4. \(\frac{3}{-2}\): This is equivalent to:
\[
\frac{3}{-2} = -\frac{3}{2}, \text{ which is equivalent.}
\]

Thus, the equivalent fraction to \(-\frac{3}{2}\) from the options given is \(\frac{3}{-2}\).