Question

Are the rational numbers `(-8)/28` and `32/(-112)` equivalent? Give reason.

Answer 1

Given rational numbers are `(-8)/28` and `32/(-112)`

For standard form of `(-8)/28 = (-8 ÷ 4)/(28 ÷ 4) = (-2)/7`  .....[∵ HCF of 8 and 28 = 4]

and standard form of `32/(-112) = (32 ÷ 16)/(-112 ÷ 16)`   .....[∵ HCF of 32 and 112 = 16]

= `2/(-7) = (-2)/7`

Yes

Since, the standard form of `(-8)/28` and `32/(-112)` are equal

Hence, they are equivalent.