Verified Answer :

 3/4-4z+5/4z-1/2+1/2z Final result : 1 - 9z
——————
4

Step by step solution :Step  1  : 1
Simplify —
2
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Equation at the end of step  1  : 3 5 1 1
(((—-4z)+(—•z))-—)+(—•z)
4 4 2 2
Step  2  : 1
Simplify —
2
Equation at the end of step  2  : 3 5 1 z
(((—-4z)+(—•z))-—)+—
4 4 2 2
Step  3  : 5
Simplify —
4
Equation at the end of step  3  : 3 5 1 z
(((—-4z)+(—•z))-—)+—
4 4 2 2
Step  4  : 3
Simplify —
4
Equation at the end of step  4  : 3 5z 1 z
(((— - 4z) + ——) - —) + —
4 4 2 2
Step  5  :Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a whole from a fraction 

Rewrite the whole as a fraction using  4  as the denominator :

4z 4z • 4
4z = —— = ——————
1 4