To determine which fractions are equivalent to \(-\frac{4}{9}\), we need to find fractions that can be simplified to this value.
The equivalent fractions can be found by checking if multiplying both the numerator and denominator by the same non-zero number results in \(-\frac{4}{9}\).
The given options are:
A: \(-\frac{4}{-9}\)
B: \(-\frac{4}{9}\)
C: \(\frac{4}{-9}\)
D: \(\frac{4}{9}\)
E: \(-\frac{-4}{9}\)
F: \(-\frac{4}{-9}\)
Now, let's analyze each:
- A: \(-\frac{4}{-9}\) = \(\frac{4}{9}\) (not equivalent)
- B: \(-\frac{4}{9}\) (this is equivalent)
- C: \(\frac{4}{-9}\) = \(-\frac{4}{9}\) (this is equivalent)
- D: \(\frac{4}{9}\) (not equivalent)
- E: \(-\frac{-4}{9}\) = \(\frac{4}{9}\) (not equivalent)
- F: \(-\frac{4}{-9}\) = \(\frac{4}{9}\) (not equivalent)
Therefore, the fractions equivalent to \(-\frac{4}{9}\) are:
B and C.