Question

Which fractions are equivalent? Explain how you know.

A. 20/5 B. -20/5 C. 20/-5 D. -20/5 E. -20/5

Answer 1

Fractions B, C, D, E are all equivalent.

Explanation:

A.
`(20)/(5)` = 4

B.
`(-20)/(5)` = -4

C.
`(20)/(-5)` = -4

D.
`(-20)/(5)` = -4

E.
`(-20)/(5)` = -4

Answer 2

For this case we have the following fractions:

A.
`\frac {20} {5} = 4`

B .
`- \frac {20} {5} = - 4`

C.
`\frac {20} {- 5} = - 4`

D.
`\frac {-20} {5} = - 4`

E .
`- \frac {20} {5} = - 4`

As noted, the last four fractions result in -4. So, they are equivalent fractions.

Answer:

Option B, C, D, E. They are equivalent fractions.