Try to represent $\frac{8}{5}$ and $-\frac{7}{4}$ on a number line. [Page No. 51]

Let's do this one by one

Representing $\frac{8}{5}$ on number line:

In $\frac{8}{5}$, Numerator > Denominator

$$\text{So, } \frac{8}{5} > 1$$

$\therefore$ We make number line form 0 to 2.

Since denominator is 5.

$\therefore$ We divide number line between 0 & 1 into 5 equal parts.

Representing $-\frac{7}{4}$ on the number line: $-\frac{7}{4}$

$' in math mode at position 1:$̲$</p> <p>" style="color:#cc0000">$$</p> <p>\text{Since } \frac{-7}{4} = -1\frac{3}{4}$$</p> <p>$$\text{So, } \frac{-7}{4} < -1$$

Let's draw number line from -2 to 0.

Since in $-\frac{7}{4}$, denominator is 4.

We divide line between -1 & 0 into 4 equal parts.