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Represent these numbers on the number line. (i) $ \frac{7}{4} $ (ii) $ \frac{-5}{6} $.
Given :
(i) \( \frac{7}{4} \)
(ii) \( \frac{-5}{6} \).
To do :
We have to represent the given numbers on the number line.
Solution :
(i)
1) Draw a number line.
2) As the number $\frac{7}{4}$ is a positive number so it will be on the right of zero. $\frac{7}{4}$ can be written in mixed fraction as $1\frac{3}{4}$. So the number lies between $1$ and $2$.
3) Divide the line segment between $1$ and $2$ into 4 parts(4 is the denominator here).
The number \( \frac{7}{4} \) is shown below:
(ii)
1) Draw a number line.
2) As the number $\frac{-5}{6}$ is a negative number so it will be on the left of zero. The number lies between $0$ and $-1$.
3) Divide the line segment between $-1$ and $0$ into 6 parts(6 is the denominator here).
The number \( \frac{-5}{6} \) is shown below: