Sr Examen

Otras calculadoras

Simplificación de expresiones/ Descomposición en fracciones simples/ (x*1.25*0.1+9,9*0.25)/((x+6.4)/(0.10951469956662631x+3.03740990903057))

¿Cómo vas a descomponer esta (x*1.25*0.1+9,9*0.25)/((x+6.4)/(0.10951469956662631x+3.03740990903057)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
              /x*5\                     
              |---|                     
              \ 4 /    99               
              ----- + ----              
                10    10*4              
----------------------------------------
/               x + 32/5               \
|--------------------------------------|
\0.109514699566626*x + 3.03740990903057/
$$\frac{\frac{\frac{5}{4} x}{10} + \frac{99}{4 \cdot 10}}{\frac{1}{0.109514699566626 x + 3.03740990903057} \left(x + \frac{32}{5}\right)}$$ 
((x*5/4)/10 + 99/(10*4))/(((x + 32/5)/(0.109514699566626*x + 3.03740990903057)))
Simplificación general [src] 
(99 + 5*x)*(15.1870495451529 + 0.547573497833132*x)
---------------------------------------------------
                   40*(32 + 5*x)
$$\frac{\left(0.547573497833132 x + 15.1870495451529\right) \left(5 x + 99\right)}{40 \left(5 x + 32\right)}$$ 
(99 + 5*x)*(15.1870495451529 + 0.547573497833132*x)/(40*(32 + 5*x))
Descomposición de una fracción [src] 
0.56311336040292 + 0.611510002854996/(1.0 + 0.15625*x) + 0.0136893374458283*x
$$0.0136893374458283 x + 0.56311336040292 + \frac{0.611510002854996}{0.15625 x + 1.0}$$ 
                   0.611510002854996                       
0.56311336040292 + ----------------- + 0.0136893374458283*x
                    1.0 + 0.15625*x
Respuesta numérica [src] 
(3.03740990903057 + 0.109514699566626*x)*(2.475 + 0.125*x)/(6.4 + x)
(3.03740990903057 + 0.109514699566626*x)*(2.475 + 0.125*x)/(6.4 + x)
Parte trigonométrica [src] 
/99   x\                                         
|-- + -|*(3.03740990903057 + 0.109514699566626*x)
\40   8/                                         
-------------------------------------------------
                     32/5 + x
$$\frac{\left(0.109514699566626 x + 3.03740990903057\right) \left(\frac{x}{8} + \frac{99}{40}\right)}{x + \frac{32}{5}}$$ 
(99/40 + x/8)*(3.03740990903057 + 0.109514699566626*x)/(32/5 + x)
Compilar la expresión [src] 
/99   x\                                         
|-- + -|*(3.03740990903057 + 0.109514699566626*x)
\40   8/                                         
-------------------------------------------------
                     32/5 + x
$$\frac{\left(0.109514699566626 x + 3.03740990903057\right) \left(\frac{x}{8} + \frac{99}{40}\right)}{x + \frac{32}{5}}$$ 
(99/40 + x/8)*(3.03740990903057 + 0.109514699566626*x)/(32/5 + x)
Denominador común [src] 
                   782.732803654394                       
0.56311336040292 + ---------------- + 0.0136893374458283*x
                   1280.0 + 200.0*x
$$0.0136893374458283 x + 0.56311336040292 + \frac{782.732803654394}{200.0 x + 1280.0}$$ 
0.56311336040292 + 782.732803654394/(1280.0 + 200.0*x) + 0.0136893374458283*x
Denominador racional [src] 
(3960 + 200*x)*(15.1870495451529 + 0.547573497833132*x)
-------------------------------------------------------
                     51200 + 8000*x
$$\frac{\left(0.547573497833132 x + 15.1870495451529\right) \left(200 x + 3960\right)}{8000 x + 51200}$$ 
(3960 + 200*x)*(15.1870495451529 + 0.547573497833132*x)/(51200 + 8000*x)
Abrimos la expresión [src] 
                                         //x*5\       \
                                         ||---|       |
                                         |\ 4 /    99 |
(0.109514699566626*x + 3.03740990903057)*|----- + ----|
                                         \  10    10*4/
-------------------------------------------------------
                        x + 32/5
$$\frac{\left(0.109514699566626 x + 3.03740990903057\right) \left(\frac{\frac{5}{4} x}{10} + \frac{99}{4 \cdot 10}\right)}{x + \frac{32}{5}}$$ 
(0.109514699566626*x + 3.03740990903057)*((x*5/4)/10 + 99/(10*4))/(x + 32/5)
Combinatoria [src] 
0.379676238628821*(99 + 5*x)*(1.0 + 0.0360552914642921*x)
---------------------------------------------------------
                         32 + 5*x
$$\frac{0.379676238628821 \left(0.0360552914642921 x + 1.0\right) \left(5 x + 99\right)}{5 x + 32}$$ 
0.379676238628821*(99 + 5*x)*(1.0 + 0.0360552914642921*x)/(32 + 5*x)
Unión de expresiones racionales [src] 
(99 + 5*x)*(3.03740990903057 + 0.109514699566626*x)
---------------------------------------------------
                    8*(32 + 5*x)
$$\frac{\left(0.109514699566626 x + 3.03740990903057\right) \left(5 x + 99\right)}{8 \left(5 x + 32\right)}$$ 
(99 + 5*x)*(3.03740990903057 + 0.109514699566626*x)/(8*(32 + 5*x))
Potencias [src] 
/99   x\                                         
|-- + -|*(3.03740990903057 + 0.109514699566626*x)
\40   8/                                         
-------------------------------------------------
                     32/5 + x
$$\frac{\left(0.109514699566626 x + 3.03740990903057\right) \left(\frac{x}{8} + \frac{99}{40}\right)}{x + \frac{32}{5}}$$ 
(99/40 + x/8)*(3.03740990903057 + 0.109514699566626*x)/(32/5 + x)
    © Sr Examen