Question

Select ALL fractions that are equivalent to

A
−4−9-\frac{4}{-9}−
−9
4
​

B
−(49)-(\frac{4}{9})−(
9
4
​
)
C
4−9\frac{4}{-9}
−9
4
​

D
49\frac{4}{9}
9
4
​

E
−−49-\frac{-4}{9}−
9
−4
​

F
−4−9\frac{-4}{-9}
−9
−4
​

Answer 1

To determine which fractions are equivalent to \(-\frac{4}{-9}\), we first simplify it.

\[
-\frac{4}{-9} = \frac{4}{9}
\]

Now, we check each given option to see if they equal \(\frac{4}{9}\):

A. \(-\frac{4}{-9} = \frac{4}{9}\) → equivalent

B. \(-\left(\frac{4}{9}\right) = -\frac{4}{9}\) → not equivalent

C. \(\frac{4}{-9}\) → not equivalent

D. \(49\frac{4}{9} = 49 + \frac{4}{9}\) → not equivalent

E. \(-\frac{-4}{9} = \frac{4}{9}\) → equivalent

F. \(-\frac{-4}{-9} = \frac{-4}{9}\) → not equivalent

Thus, the fractions that are equivalent to \(-\frac{4}{-9}\) (or \(\frac{4}{9}\)) are A and E.

**Final answer:** A, E