Question

how to find 5 rational numbers between 5/6 and 6/7

Answer 1

Just calculate the L. C. M. of the denominators and make them like fractions.If the number of rational numbers is less between them, like in this case, multiply both of them with 10/10 and you'll get the rational numbers between them.

Answer 2

5 rational number between 5/6 and 6/7
first we will same the denominator = 35/42 and 36/42
so, we add one in rational no. =5+1=6
according to question
 35/42 = 35 multiply by 42 and  multiply by 6
= 210/252 
like that, 36/42 =36 multiply by 6 and 42 multiply by 6
=216/252
so, 210/252 and 216/252
211/252, 212/252, 213/252, 214/252, 215/252
there are five rational number between 5/6 and 6/7