Question

five rational number between 5 and 6

Answer 1

the five irrational numbers between 5 and 6 are 11/2 , 23/4 , 35/8 , 47/16 , 59/32

Answer 2

firstly multiply the numbers with a fractional number whose denominator is common like 5/7 and 6/7 but we can see that there are no rational number between them then multiply it with any number, say 6 then the numbers will be 30/7 and 36/7 then the no. of rational numbers will be 5 which will be 31/7, 32/7, 33/7, 34/7, 35/7
You go easily to firstly second step by multiplying with n+1 number where n is the no. of terms you want to find and then divide the two new numbers with a number by which the numbers are not divisible like 22/7 and 27/7 where 22 and 27 are not divisible by 7