Insert a rational number and an irrational number between the following:
$\frac{-2}{5}$ and $\frac{1}{2}$

(N/A) First,convert the fractions to decimal form:
$\frac{-2}{5} = -0.4$ and $\frac{1}{2} = 0.5$
$1$. Rational number:
$A$ rational number is any number that can be expressed as $\frac{p}{q}$ where $p, q$ are integers and $q \neq 0$. Any terminating decimal is a rational number. We can choose $0$ (or $0.1$,$0.2$,etc.) as it lies between $-0.4$ and $0.5$.
Thus,$0$ is a rational number between $\frac{-2}{5}$ and $\frac{1}{2}$.
$2$. Irrational number:
An irrational number is a non-terminating and non-recurring decimal. We can construct one by following a pattern that does not repeat. For example,$0.1010010001...$ lies between $-0.4$ and $0.5$.
Thus,$0.1010010001...$ is an irrational number between $\frac{-2}{5}$ and $\frac{1}{2}$.