Question

find three rational numbers lying between 3 /5 and 7 /8.
How many rational numbers can be determined between these two numbers?

Answer 1

Dear Student,
Here in this case of two numbers 3/5 and 7/8 we get that,
Multiplying 3/5 by 8/8 and 7/8 by 5/5 to make the denominator equal.

=> (3/5) *(8/8) and (7/8)*(5/5)

=> 24/40 and 35/40

So, rational number between 24/40 and 35/40 are :-

25/40 , 26/40 , 27/40, 28/40 , 29/40 , 30/40 , 31/40 , 32/40 , 33/40 , 34/40.

The number system contains uncountable/infinite numbers.
There are infinite numbers lying between all the no.Therefore, there can be infinity rational between the numbers 3/5 and 7/8.


Regards