Represent each of the following rational numbers on the number line:

(i) $\frac{2}{7}$

(ii) $-\frac{13}{6}$

Given :

The given numbers are (i) $\frac{2}{7}$ and (ii) $-\frac{13}{6}$.

To do :

We have to represent the given numbers on the number line.

Solution :

 (i) $\frac{2}{7}$

To represent $\frac{2}{7}$ on the number line,

1) Draw a number line.

2) As the number $\frac{2}{7}$ is a positive number so it will be on the right of zero. The number $\frac{2}{7}$ lies between 0 and 1.

3) Divide the line segment between 0 and 1 into 7 parts(7 is the denominator here).

4) Move two parts to the right of 0 (2 is the numerator here).

5) Therefore, A is the required point.

(ii) $-\frac{13}{6}$

To represent $-\frac{13}{6}$ on the number line,

1) Draw a number line.

2) As the number $-\frac{13}{6}$ is a negative number so it will be on the left of zero. The number $-\frac{13}{6} = -2 \frac{1}{6}$ lies between $-2$ and $-3$.

3) Divide the line segment between $-2$ and $-3$ into 6 parts(6 is the denominator here).

4) Move one part to the left of $-2$ (1 is the numerator in the fraction here).

5) Therefore, A is the required point.

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Updated on: 10-Oct-2022

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