To determine which fractions are equivalent to \(-\frac{2}{3}\), we can look at the values of each fraction given:
- \(-\frac{2}{3}\) (this is the original fraction)
- \(-\frac{3}{-2}\) (this simplifies to \(\frac{3}{2}\), not equivalent)
- \(\frac{2}{-2}\) (this simplifies to \(-1\), not equivalent)
- \(-\frac{3}{2}\) (this is a negative value, not equivalent)
- \(\frac{2}{-3}\) (this simplifies to \(-\frac{2}{3}\), equivalent)
- \(-\frac{2}{-3}\) (this simplifies to \(\frac{2}{3}\), not equivalent)
The two fractions equivalent to \(-\frac{2}{3}\) are:
- \(\frac{2}{-3}\)
- \(-\frac{2}{3}\) (the original fraction)
Thus, the two equivalent fractions are:
- \(\frac{2}{-3}\)
- \(-\frac{2}{3}\)