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Question
Express the following rational numbers in its standard form:
`299/(-161)`
Solution
Given rational number is `299/(-161)`
For standard form of given rational number
= `(299 ÷ 23)/(-161 ÷ 23)` ......[∵ HCF of 299 and 61 = 23]
= `13/(-7) = (13 ÷ (-1))/(13 ÷ (-1))` .....[Dividing by (–1) on both numerator and denominator]
= `(-13)/7`
Hence, the standard form of `299/(-161)` is `(-13)/7`.
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