Represent each of the following on the number line :

$\dfrac{1}{3} + \dfrac{1}{4}$

We know that the L.C.M. of 3 and 4 is 12.

Now, $\dfrac{1}{3} = \dfrac{4}{12}$ and $\dfrac{1}{4} = \dfrac{3}{12}$

Divide the unit length OA from 0 to 1 into 12 equal parts. Then, each part represents $\dfrac{1}{12}$.

From 0 move 4 steps to the the right and then 3 steps to the right to reach $\dfrac{7}{12}$.

$\therefore \dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}$, as shown below.