How do you find the quotient of #8/(3x^2)div4/x#?
There are two ways to divide a fraction:
Flip the second fraction, multiply, and simplify.
#8/(3x^2) div 4/x = 8/(3x^2) xx x/4#
#= (8x)/(12x^2) = 2/(3x)#
Divide across without flipping.
This method is not usually used, since it often results in a fraction over another fraction, which only makes things even harder to simplify. However, it is a perfectly valid method of division and, in the right cases, is much faster.
#8/(3x^2) div 4/x = (8 div 4)/(3x^2 div x) = 2/(3x)#