Question

how to find the 6 rationalnumber between 3 and 4

Answer 1

Hey friend,
Here is the answer you were looking for:

We have to find out 6 rational numbers between 3 and 4

So,

We can also write 3 and 4 as

$\frac{3}{1} \: and \: \frac{4}{1}$

Multiplying 7/7 to both to get 6 rational number between them.

$\frac{3}{1} \times \frac{7}{7} = \frac{21}{7} \\ \\ \frac{4}{1} \times \frac{7}{7} = \frac{28}{7}$

So, the 6 rational numbers are :

$\frac{22}{7} \: : \: \frac{23}{7} \: : \: \frac{24}{7} \: : \: \frac{25}{7} \: : \: \frac{26}{7} \: : \: \frac{27}{7}$


Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
☺☺

Answer 2

Solution:-

》6 rationalnumber between 3 and 4

= 1/2( 1/3+1/4) = 1/2(7)/12 = 7/24

= 1/2(7/24+1/3) = 1/2(13/24) = 13/48

simlarly

7/24 , 13/48 , 12/48, 14/48 , 12/5