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