Question

find five rational and five irrational number between 3/5 and 2/3

Answer 1

Firstly, we have to make same the denominators by taking the LCM of 5 and 3.
Their LCM is 15.
And then we have to find five rational number between 9/15 and 10/15
So, multiply both the numbers by any number more than 5.
Suppose we have multiply it by 6.
So 9/15*6/6 and 10/15*6/6.
We get 54/90 and 60/90
So the 5 rational number between 54/90 and 60/90 are 55/90, 56/90, 57/90, 58/90, 59/90.
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