Represent each of the following on the number line :

$\dfrac{1}{2} + \dfrac{1}{4}$

We know that the L.C.M. of 2 and 4 is 4.

Now, $\dfrac{1}{2} = \dfrac{2}{4}$ and $\dfrac{1}{4} = \dfrac{1}{4}$.

Divide the unit length OA from 0 to 1 into 4 equal parts. Then, each part represents $\dfrac{1}{4}$.

From 0 move 2 steps to the the right and then 1 step to the right to reach $\dfrac{3}{4}$.

$\therefore \dfrac{1}{2} + \dfrac{1}{4} = \dfrac{2}{4} + \dfrac{1}{4} = \dfrac{3}{4}$, as shown below.