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Question
Give four rational numbers equivalent to `(-2)/7`.
Solution
Rational number = `(-2)/7`
We know that the equivalent number can be found by multiplying or dividing the numerator and denominator of a rational number by the same number.
Thus, `(- 2)/7 = (- 2 xx 2)/(7 xx 2) = (- 4)/14`
`(- 2)/7 = (- 2 xx 3)/(7 xx 3) = (- 6)/21`
`(- 2)/7 = (- 2 xx 4)/(7 xx 4) = (- 8)/28`
`(- 2)/7 = (- 2 xx 5)/(7 xx 5) = (-10)/35`
Therefore, there are four rational numbers equivalent to the given rational number
`(- 4)/14, (- 6)/21, (- 8)/28, "and" (-10)/35`
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