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$\frac{x}{y}$.

If we divide this rational number by a factor k, then it becomes $\frac{x}{ky}$.

We need to find 'k'.

Now, twice the opposite of the given rational number is $\frac{-2x}{y}$

By the given information,

$\frac{x}{ky} =\frac{-2x}{y}$

xy = -2kxy

-2k = 1

$k = -\frac{1}{2}$

Hence, we should divide the given rational number by $-\frac{1}{2}$.