simplify 1/(1/4)x, write how you simplified after each step?

1/(1/4)x = 1*(4/1)x ... change division by a fraction to multiplication by the inverse of the fraction.
.. = 4x ... note that 1 is the identity element for multiplication and division, so 4/1 = 4 and 1*4 = 4
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Please be aware that your original expression has x in the numerator, so that is where it remains. If you want it in the denominator, you need to enclose the whole denominator in parentheses.

Presentation dodgy !!!

is it
[ 1 / (1/4) ] [ x ] = 4 x ????
or
is it
1 / [ (1/4) x ] = 4 / x ????

4/x
I multiplied the numerator and the denominator by the reciprocal of the denominator 's coefficient.