Find four rational numbers between

5 and 6
0 and 1

Given: 5 and 6, and 0 and 1.

To find: We have to find four rational numbers between 5 and 6, and 0 and 1.

Solution: 

4 rational numbers between 5 and 6

Let divide region between 5 and 6 on number line into 5 equal parts

5= $\frac{5}{1} = \frac{5\times5}{1\times5} =  \frac{25}{5} and 6 = \frac{6}{1} = \frac{6\times5}{1\times5} = \frac{30}{5}$

It is same as finding 4 rational numbers between $\frac{25}{5}$ and $\frac{30}{5}$

So the four rational numbers can be $\frac{26}{5}$, $\frac{27}{5}$, $\frac{28}{5}$, $\frac{29}{5}$.

Next finding 4 rational numbers between 0 and 1.

Dividing region between 0 and 1 on number line into 5 parts.

0 is same as $\frac{0}{5}$ and 1 is same as $\frac{5}{5}$

So four rational numbers between 0 and 1 or $\frac{0}{5}$ and $\frac{5}{5}$ are

$\frac{1}{5}$. $\frac{2}{5}$, $\frac{3}{5}$, $\frac{4}{5}$  

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

20 Views

Kickstart Your Career

Get certified by completing the course

Get Started