a/5/8 = 3/5 / 2/3
We can take the reciprocal of the denominator, since the denominator itself is a fraction
The above equation can be rephrased as,
(a) / (5/8) = (3/5) / (2/3)
Taking reciprocal
8a / 5 = 3*3 / 5*2
8a / 5 = 9 / 5*2
a = 9 * 5 / 5*2*8
5’s get canceled, 2 and 8 gets multiplied in the denominator.
We will then be left with,
a = 9 / 16
I have also verified it and got the right answer.