Question

find a rational number between -1/3 and 1/2​

Answer 1

Rational number is any number of the form p/q such that p and q are integers provided q is non zero.

There are infintely many rational numbers between  -1/3 and 1/2  so we can simply take 0 i.e 0=0/1 is a rational number.

Answer 2

According to the question

$\begin{gathered}\frac{-1}{3} - \frac{1}{2} \\ \\ = \frac{-1 \times 2 - 1 \times 3}{6} \\ \\ = \frac{-2 - 3}{6} \\ \\ = \frac{5}{6}\end{gathered} \\ \\ </p><p></p><p>This \: is \: a \: rational \: number \: between \: -1/3 and 1/2.</p><p></p><p>$