Represent each of the following on the number line :

$1\dfrac{4}{7}$

Let O be the origin. Set off equal distances OA, AB, BC, etc., on right hand side of O, denoting 1, 2, 3, etc.

Take 1 full distance and divide AB into 7 equal parts. Then, take 4 parts out of it to reach point P.

Hence, the point P represents $1\dfrac{4}{7}$.