3ab/2b^4 divided by 15a/8b simplify
To simplify the expression 3ab/2b^4 divided by 15a/8b, we can multiply the numerator by the reciprocal of the denominator.
The reciprocal of 15a/8b is 8b/15a.
So, multiplying the numerator 3ab by 8b and the denominator 2b^4 by 15a, we get:
(3ab)(8b)/(2b^4)(15a)
= 24ab^2/30a b^4
Now, we can simplify the fraction by dividing the numerator and the denominator by the greatest common factor, which is 6ab^2:
(24ab^2)/(30ab^4)
= (4a/5b^2)/(5b^3)
= 4a/5b^2 * 1/5b^3
= 4a/25b^5
Therefore, 3ab/2b^4 divided by 15a/8b simplifies to 4a/25b^5.