Represent the rational numbers $\dfrac{2}{3}$, $-\dfrac{5}{4}$ and $1\dfrac{1}{2}$ on a single number line.

To represent the rational numbers $\dfrac{2}{3}$, $-\dfrac{5}{4}$ and $1\dfrac{1}{2}$ :

For $\dfrac{2}{3}$ :

⇒ It lies between 0 and 1. Divide the interval from 0 to 1 into 3 equal parts and mark the second division point.

For $-\dfrac{5}{4}$ :

⇒ $-\dfrac{5}{4} = -1\dfrac{1}{4}$, so it lies between -2 and -1. Divide the interval from -2 to -1 into 4 equal parts and mark the first division point from -1.

For $1\dfrac{1}{2}$ :

⇒ It lies between 1 and 2. Divide the interval from 1 to 2 into 2 equal parts and mark the midpoint.

Hence, the rational numbers $\dfrac{2}{3}$, $-\dfrac{5}{4}$ and $1\dfrac{1}{2}$ have been represented on a single number line.