Resolver 0.0725((3*0.1725)+(3*0.072))/9*0.1725+20*0.0725=

$$\frac { 0.0725 ( ( 3 \cdot 0.1725 ) + ( 3 \cdot 0.072 ) ) } { 9 \cdot 0.1725 + 20 \cdot 0.0725 } =$$

Calcular

$$\frac{42543}{2402000}\approx 0.01771149$$

Pasos da solución

Multiplica 3 e 0.1725 para obter 0.5175.

$$\frac{0.0725\left(0.5175+3\times 0.072\right)}{9\times 0.1725+20\times 0.0725}$$

Multiplica 3 e 0.072 para obter 0.216.

$$\frac{0.0725\left(0.5175+0.216\right)}{9\times 0.1725+20\times 0.0725}$$

Suma 0.5175 e 0.216 para obter 0.7335.

$$\frac{0.0725\times 0.7335}{9\times 0.1725+20\times 0.0725}$$

Multiplica 0.0725 e 0.7335 para obter 0.05317875.

$$\frac{0.05317875}{9\times 0.1725+20\times 0.0725}$$

Multiplica 9 e 0.1725 para obter 1.5525.

$$\frac{0.05317875}{1.5525+20\times 0.0725}$$

Multiplica 20 e 0.0725 para obter 1.45.

$$\frac{0.05317875}{1.5525+1.45}$$

Suma 1.5525 e 1.45 para obter 3.0025.

$$\frac{0.05317875}{3.0025}$$

Expande \frac{0.05317875}{3.0025} multiplicando o numerador e o denominador por 100000000.

$$\frac{5317875}{300250000}$$

Reduce a fracción \frac{5317875}{300250000} a termos máis baixos extraendo e cancelando 125.

$$\frac{42543}{2402000}$$

Factorizar

$$\frac{29 \cdot 163 \cdot 3 ^ {2}}{1201 \cdot 2 ^ {4} \cdot 5 ^ {3}} = 0.017711490424646127$$