Are the rational numbersandequivalent? Give reason.

Yes

Considering the rational number

-8 = 2 × 2 × 2 × -1

28 = 2 × 2 × 7

H.C.F. = 4

To convert into standard form,

Divide the numerator and denominator by H.C.F.

⇒

⇒

Now, considering the rational number =

32 = 2 × 2 × 2 × 2 × 2

-112 = 2 × 2 × 2 × 2 × 7 × -1

H.C.F. = 16

To convert into standard form,

Divide the numerator and denominator by H.C.F.

⇒

⇒

=

Since, and have same standard form.

Hence, they are equivalent.