Question 251424
Problem: {{{(a/h^2)/(a^2/h^3)}}}


Dividing two fractions is the same as multiplying one fraction by the reciprocal of the other fraction.


The reciprocal of {{{a^2/h^3}}} is {{{h^3/a^2}}}


Therefore, we may re-write the expression to this: 
{{{(a/h^2)*(h^3/a^2)}}} ...which equals... {{{ah^3/a^2h^2}}}


Now, let's simplify:
{{{ah^3/(a^2h^2)}}}


We may cancel "a" in the numerator with one "a" from the denominator, thus we get:
{{{h^3/ah^2}}}


We may also cancel {{{h^2}}} from the denominator with {{{h^2}}} out of the numerator.  The final expression is:


{{{h/a}}}