Select two of the fractions that are equivalent to -2/3.

negative 2 thirds
negative 3 over negative 2
2 over negative 2
negative 3 over 2
2 over negative 3
negative 2 over negative 3

1 answer

To determine which fractions are equivalent to \(-\frac{2}{3}\), we can look at the values of each fraction given:

  1. \(-\frac{2}{3}\) (this is the original fraction)
  2. \(-\frac{3}{-2}\) (this simplifies to \(\frac{3}{2}\), not equivalent)
  3. \(\frac{2}{-2}\) (this simplifies to \(-1\), not equivalent)
  4. \(-\frac{3}{2}\) (this is a negative value, not equivalent)
  5. \(\frac{2}{-3}\) (this simplifies to \(-\frac{2}{3}\), equivalent)
  6. \(-\frac{2}{-3}\) (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:

  1. \(\frac{2}{-3}\)
  2. \(-\frac{2}{3}\)
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