Resolver (615+4180*25*10^-1)*(228-243)/(704*10^-2*(243-539))

$$( 615 + 4180 \times 25 \times 10 ^ { - 1 } ) \times ( 228 - 243 ) / ( 704 \times 10 ^ { - 2 } \times ( 243 - 539 ) )$$

Calcular

$$\frac{4149375}{52096}\approx 79.648629453$$

Pasos da solución

Multiplica 4180 e 25 para obter 104500.

$$\frac{\left(615+104500\times 10^{-1}\right)\left(228-243\right)}{704\times 10^{-2}\left(243-539\right)}$$

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

$$\frac{\left(615+104500\times \frac{1}{10}\right)\left(228-243\right)}{704\times 10^{-2}\left(243-539\right)}$$

Multiplica 104500 e \frac{1}{10} para obter 10450.

$$\frac{\left(615+10450\right)\left(228-243\right)}{704\times 10^{-2}\left(243-539\right)}$$

Suma 615 e 10450 para obter 11065.

$$\frac{11065\left(228-243\right)}{704\times 10^{-2}\left(243-539\right)}$$

Resta 243 de 228 para obter -15.

$$\frac{11065\left(-15\right)}{704\times 10^{-2}\left(243-539\right)}$$

Multiplica 11065 e -15 para obter -165975.

$$\frac{-165975}{704\times 10^{-2}\left(243-539\right)}$$

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

$$\frac{-165975}{704\times \frac{1}{100}\left(243-539\right)}$$

Multiplica 704 e \frac{1}{100} para obter \frac{176}{25}.

$$\frac{-165975}{\frac{176}{25}\left(243-539\right)}$$

Resta 539 de 243 para obter -296.

$$\frac{-165975}{\frac{176}{25}\left(-296\right)}$$

Multiplica \frac{176}{25} e -296 para obter -\frac{52096}{25}.

$$\frac{-165975}{-\frac{52096}{25}}$$

Divide -165975 entre -\frac{52096}{25} mediante a multiplicación de -165975 polo recíproco de -\frac{52096}{25}.

$$-165975\left(-\frac{25}{52096}\right)$$

Multiplica -165975 e -\frac{25}{52096} para obter \frac{4149375}{52096}.

$$\frac{4149375}{52096}$$

Factorizar

$$\frac{3 \cdot 5 ^ {4} \cdot 2213}{2 ^ {7} \cdot 11 \cdot 37} = 79\frac{33791}{52096} = 79.64862945331696$$