Select ALL fractions that are equivalent to negitive 4/positive 9

Question

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 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.