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Expression simplification/ Least common denominator/ z-6*z/z+1/z-5/z+1

Least common denominator z-6*z/z+1/z-5/z+1

An expression to simplify:

The solution

You have entered [src] 
    6*z   1   5    
z - --- + - - - + 1
     z    z   z
$$\left(\left(\left(z - \frac{6 z}{z}\right) + \frac{1}{z}\right) - \frac{5}{z}\right) + 1$$ 
z - 6*z/z + 1/z - 5/z + 1
General simplification [src] 
         4
-5 + z - -
         z
$$z - 5 - \frac{4}{z}$$ 
-5 + z - 4/z
Fraction decomposition [src] 
-5 + z - 4/z
$$z - 5 - \frac{4}{z}$$ 
         4
-5 + z - -
         z
Common denominator [src] 
         4
-5 + z - -
         z
$$z - 5 - \frac{4}{z}$$ 
-5 + z - 4/z
Combining rational expressions [src] 
-4 + z + z*(-6 + z)
-------------------
         z
$$\frac{z \left(z - 6\right) + z - 4}{z}$$ 
(-4 + z + z*(-6 + z))/z
Assemble expression [src] 
         4
-5 + z - -
         z
$$z - 5 - \frac{4}{z}$$ 
-5 + z - 4/z
Trigonometric part [src] 
         4
-5 + z - -
         z
$$z - 5 - \frac{4}{z}$$ 
-5 + z - 4/z
Rational denominator [src] 
      2      
-4 + z  - 5*z
-------------
      z
$$\frac{z^{2} - 5 z - 4}{z}$$ 
(-4 + z^2 - 5*z)/z
Numerical answer [src] 
-5.0 + z - 4.0/z
-5.0 + z - 4.0/z
Powers [src] 
         4
-5 + z - -
         z
$$z - 5 - \frac{4}{z}$$ 
-5 + z - 4/z
Combinatorics [src] 
      2      
-4 + z  - 5*z
-------------
      z
$$\frac{z^{2} - 5 z - 4}{z}$$ 
(-4 + z^2 - 5*z)/z
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