Answer
True
Work Step by Step
By the definition of rational, the first number can be written as $\frac{a}{b}$ and the second as $\frac{c}{d}$, with $a$, $b$, $c$, $d$ integers.
To find quotient we need to divide $\frac{a}{b}$ and $\frac{c}{d}$. Given that $\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}$, the quotient is $\frac{ad}{bc}$, where $ad$ is integer as it is the product of integers, as is $bc$.
Therefore, the quotient is rational.