Question

how to find 3 rational numbers between 5/7 and 9/11

Answer 1

TAKE THE LCM OF 7 AND 11...IT IS 77..MULTIPLY IN THE DENOMINATORS TO GET LIKE FRACTIONS...THEN YOU WILL HAVE A LARGE RANGE IF RATIONAL NUMBERS BETWEEN BOTH OF THEM.. PICK UP ANY 3
 56/77,57/77,58/77...
 

YOU CAN PICK UP ANY 3 RATIONAL NUMBERS BECAUSE THERE ARE INFINITE RATIONAL NUMBERS BETWEEN TWO RATIONAL NUMBERS

Answer 2

First make the denominators of the 2 fractions common(upto the minimum multiple it requires).
LCM of 7 and 11=77

5/7=(5×11)/(7×11)=55/77

9/11=(9×7)/(11×7)=63/77

So,now we can easily find out the 3 rational no.s

They are,let's say,56/77, 57/77 and 58/77(they can also be 59/77, 60/77 and 62/77 )
You need to reduce the answers to the lowest form(if they can be).

Hope this helps!