Question

What are the five rational numbers between $-2$ and $1$

Answer 1

A rational number is one which can be represented in the form of p/q where p & q are integers.

Between two rational numbers there are infinite number of rational numbers.

Thus. there are infinite number of rational numbers between $-2$ & $1.$

Eg: $\frac{1}{2}$ is $0.5$ between $-2$ & $1$

We can write $-2=-2\times \frac{4}{4}=\frac{-8}{4}$

and, $1=1\times \frac{4}{4}=\frac{4}{4}$

Therefore five rational numbers between $-2$ and $1$ are

$\frac{-7}{4},\frac{-6}{4},\frac{1}{4},(\frac{2}{4}=\frac{1}{2}),\frac{3}{4}$