Question

using arithmetic means find four rational numbers between 5/4 and 4/3

Answer 1

4 rational no. 's r 63/50, 127/100, 32/25, 129/100 nd 13/10

Answer 2

First make the denominators of both rational numbers equal by taking the lcm of the denominators. In this case the lcm of 3 and 4 is 12 then 5/4x3/3=15/12 and 4/3x4/4=16/12. We find that there are no rational number between these two numbers. Then we will make the denominator greater and thus make the number of rational numbers between these two numbers greater. Then 15/12x4/4=60/48 and 16/12x4/4=64/48. We see that there are only three rational numbers between these two numbers. Then we have to make the denominator even greater. Then 60/48x2/2=120/96 and 64/48x2/2=128/96. Now this is enough to find four rational numbers between these two numbers. Four rational numbers between these numbers are 121/96, 122/96, 123/96, 124/96.