Question

by what number can you divide a rational number to get a number that is twice the opposite of the rational number

Answer 1

Let the rational number be
`(x)/(y)`.

If we divide this rational number by a factor k, then it becomes
`(x)/(ky)`.

We need to find 'k'.

Now, twice the opposite of the given rational number is
`(-2x)/(y)`

By the given information,

`(x)/(ky) =(-2x)/(y)`

xy = -2kxy

-2k = 1

`k = -(1)/(2)`

Hence, we should divide the given rational number by
`-(1)/(2)`.