Question

Represent $-\frac{2}{13}$ and $\frac{-9}{13}$ on the number line.

Answer 1

$\frac{-2}{13}$ and $\frac{-9}{13}$ lie between $-1$ and $0$

Now, divide the unit distance between $-1$ and $0$ in $13$ equal parts as shown in the figure.

$\because \frac{-2}{13}$ means $2$ parts out of $13$ so, among $13$ equal divisions, $2^{nd}$ division corresponds to $\frac{-2}{13}$

Similarly $\frac{-9}{13}$ means $9$ parts out of $13$ so, among $13$ equal divisions, $9^{th}$ division corresponds to $\frac{-9}{13}$

$\therefore$ Representation of $\frac{-2}{13}$ and $\frac{-9}{13}$ is shown in the figure.