Resolver 2000*(18*2+101+31.5*6)*0.53*0.91*0.89/101

$$\frac{ 2000 \times (18 \times 2+101+31.5 \times 6) \times 0.53 \times 0.91 \times 0.89 }{ 101 }$$

Calcular

$$\frac{69967261}{25250}\approx 2770.980633663$$

Pasos da solución

Multiplica 18 e 2 para obter 36.

$$\frac{2000\left(36+101+31.5\times 6\right)\times 0.53\times 0.91\times 0.89}{101}$$

Suma 36 e 101 para obter 137.

$$\frac{2000\left(137+31.5\times 6\right)\times 0.53\times 0.91\times 0.89}{101}$$

Multiplica 31.5 e 6 para obter 189.

$$\frac{2000\left(137+189\right)\times 0.53\times 0.91\times 0.89}{101}$$

Suma 137 e 189 para obter 326.

$$\frac{2000\times 326\times 0.53\times 0.91\times 0.89}{101}$$

Multiplica 2000 e 326 para obter 652000.

$$\frac{652000\times 0.53\times 0.91\times 0.89}{101}$$

Multiplica 652000 e 0.53 para obter 345560.

$$\frac{345560\times 0.91\times 0.89}{101}$$

Multiplica 345560 e 0.91 para obter 314459.6.

$$\frac{314459.6\times 0.89}{101}$$

Multiplica 314459.6 e 0.89 para obter 279869.044.

$$\frac{279869.044}{101}$$

Expande \frac{279869.044}{101} multiplicando o numerador e o denominador por 1000.

$$\frac{279869044}{101000}$$

Reduce a fracción \frac{279869044}{101000} a termos máis baixos extraendo e cancelando 4.

$$\frac{69967261}{25250}$$

Factorizar

$$\frac{7 \cdot 13 \cdot 53 \cdot 89 \cdot 163}{2 \cdot 101 \cdot 5 ^ {3}} = 2770\frac{24761}{25250} = 2770.9806336633665$$