Question

Give four rational numbers equivalent to `(-2)/7`.

Answer 1

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`