Resolver (61.5+4180*2.5*10^-1)*(22.8-24.3)/(7.04*10^-2*(24.3-53.9))

$$( 61.5 + 4180 \times 2.5 \times 10 ^ { - 1 } ) \times ( 22.8 - 24.3 ) / ( 7.04 \times 10 ^ { - 2 } \times ( 24.3 - 53.9 ) )$$

Calcular

$$\frac{20746875}{26048}\approx 796.486294533$$

Pasos da solución

Multiplica 4180 e 2.5 para obter 10450.

$$\frac{\left(61.5+10450\times 10^{-1}\right)\left(22.8-24.3\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Calcula 10 á potencia de -1 e obtén \frac{1}{10}.

$$\frac{\left(61.5+10450\times \frac{1}{10}\right)\left(22.8-24.3\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Multiplica 10450 e \frac{1}{10} para obter 1045.

$$\frac{\left(61.5+1045\right)\left(22.8-24.3\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Suma 61.5 e 1045 para obter 1106.5.

$$\frac{1106.5\left(22.8-24.3\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Resta 24.3 de 22.8 para obter -1.5.

$$\frac{1106.5\left(-1.5\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Multiplica 1106.5 e -1.5 para obter -1659.75.

$$\frac{-1659.75}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Calcula 10 á potencia de -2 e obtén \frac{1}{100}.

$$\frac{-1659.75}{7.04\times \frac{1}{100}\left(24.3-53.9\right)}$$

Multiplica 7.04 e \frac{1}{100} para obter \frac{44}{625}.

$$\frac{-1659.75}{\frac{44}{625}\left(24.3-53.9\right)}$$

Resta 53.9 de 24.3 para obter -29.6.

$$\frac{-1659.75}{\frac{44}{625}\left(-29.6\right)}$$

Multiplica \frac{44}{625} e -29.6 para obter -\frac{6512}{3125}.

$$\frac{-1659.75}{-\frac{6512}{3125}}$$

Divide -1659.75 entre -\frac{6512}{3125} mediante a multiplicación de -1659.75 polo recíproco de -\frac{6512}{3125}.

$$-1659.75\left(-\frac{3125}{6512}\right)$$

Multiplica -1659.75 e -\frac{3125}{6512} para obter \frac{20746875}{26048}.

$$\frac{20746875}{26048}$$

Factorizar

$$\frac{3 \cdot 2213 \cdot 5 ^ {5}}{11 \cdot 37 \cdot 2 ^ {6}} = 796\frac{12667}{26048} = 796.4862945331695$$