Question

Represent the rational number$\frac{7}{4}$ on the number line.

Answer 1

In order to represent $\frac{7}{4}$ on the number line, we first draw a number line and mark a point O on it which represent 'O' as shown in the figure.



Now we have to find a point, say, N on the number line which represents the numerator 7 of the rational number $\frac{7}{4}$

So, N is the point that represents the integer 7 on the number line and is on the right hand side of the point O. Divide the segment ON into four (Denominator of $\frac{7}{4}$) equal parts (with the help of a ruler). Let A, B, C, be the points of division as shown in the figure.

Then OA = AB = BC = CN.

By construction, each segment OA, AB, BC and CN represents $\frac{1}{4}$th of segment ON. Therefore, the point A represents the rational number $\frac{7}{4}$.