Question

Is $\frac{3}{-2}$ a rational number? If so, how do you write it in a form conforming to the definition of a rational number (that is, the denominator as a positive integer)?

Answer 1

$\frac{3}{-2}$ is not a rational number because in a rational number, denominator is always a positive integer and numerator can both be negative or positive.

So, to make the fraction $\frac{3}{-2}$ a rational number, simply multiply the numerator and denominator by $-1$ as shown below:

$\frac{3\times -1}{-2\times -1}=\frac{-3}{2}$

Hence, $\frac{-3}{2}$ is a rational number.