Question

Find the 5 rational numbers between 2/3 and 3/5

Answer 1

LCM of 5 and 2 = 15

We have to multipy the denominator by a number to get it 15.

2/3×5/5 =10/15

3/5×3/3 =9/15

Now, as we have to find 5 rational numbers so we will take,

n =5

d =n+1

=5+1

=6

Now we will multipy the numbers we got by 6

10/15×6/6= 60/90

9/15×6/6=54/90

Now here we got the final numbers by which we can find 5 rational numbers that are as follows

54/90, 56/90, 57/90, 58/90, 59/90.