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Expression simplification/ Fraction Decomposition into the simple/ (x*1.06)/(1+x*1.06)

How do you (x*1.06)/(1+x*1.06) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
 /x*53\ 
 |----| 
 \ 50 / 
--------
    x*53
1 + ----
     50
$$\frac{\frac{53}{50} x}{\frac{53 x}{50} + 1}$$ 
(x*53/50)/(1 + x*53/50)
General simplification [src] 
   53*x  
---------
50 + 53*x
$$\frac{53 x}{53 x + 50}$$ 
53*x/(50 + 53*x)
Fraction decomposition [src] 
1 - 50/(50 + 53*x)
$$1 - \frac{50}{53 x + 50}$$ 
        50   
1 - ---------
    50 + 53*x
Numerical answer [src] 
1.06*x/(1.0 + 1.06*x)
1.06*x/(1.0 + 1.06*x)
Rational denominator [src] 
    2650*x   
-------------
2500 + 2650*x
$$\frac{2650 x}{2650 x + 2500}$$ 
2650*x/(2500 + 2650*x)
Combining rational expressions [src] 
   53*x  
---------
50 + 53*x
$$\frac{53 x}{53 x + 50}$$ 
53*x/(50 + 53*x)
Combinatorics [src] 
   53*x  
---------
50 + 53*x
$$\frac{53 x}{53 x + 50}$$ 
53*x/(50 + 53*x)
Common denominator [src] 
        50   
1 - ---------
    50 + 53*x
$$1 - \frac{50}{53 x + 50}$$ 
1 - 50/(50 + 53*x)
Trigonometric part [src] 
     53*x    
-------------
   /    53*x\
50*|1 + ----|
   \     50 /
$$\frac{53 x}{50 \left(\frac{53 x}{50} + 1\right)}$$ 
53*x/(50*(1 + 53*x/50))
Assemble expression [src] 
     53*x    
-------------
   /    53*x\
50*|1 + ----|
   \     50 /
$$\frac{53 x}{50 \left(\frac{53 x}{50} + 1\right)}$$ 
53*x/(50*(1 + 53*x/50))
Powers [src] 
     53*x    
-------------
   /    53*x\
50*|1 + ----|
   \     50 /
$$\frac{53 x}{50 \left(\frac{53 x}{50} + 1\right)}$$ 
53*x/(50*(1 + 53*x/50))
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