First, this expression must be correctly understood before solving it:
Let me explain:
1) IS THE DENOMINATOR [3/4] : [Z]/[3/4] = [4 1/4]
if this is the case, then the rule is as follows:
If the denominator is a FRACTION of the form A/B, as is SHOWN ABOVE(OUR A/B IS 3/4) then the following expression is the same:
(Z) * (4/3) = (4 1/4)
PLEASE NOTICE THAT THE DENOMINATOR, [3/4], Has been flipped(or reciprocated) and THEN multiplied by Z.
IS THIS WHAT YOU WANT SOLVED?
if IT IS then
you now have (4Z/3) = (4 1/4)
re-writing (4Z/3) = (17/4)
Multiply both sides by 3. This yields 4z = [51/4]
DIVIDE BY 4. This yields Z = 51/16 = 3 3/16