Resolver 0.0725(3*0.1725)+(3*0.0729)/9*0.1725+20*0.0725=

$$\frac { 0.0725 ( 3 \cdot 0.1725 ) + ( 3 \cdot 0.0729 ) } { 9 \cdot 0.1725 + 20 \cdot 0.0725 } =$$

Calcular

$$\frac{8199}{96080}\approx 0.085335137$$

Pasos da solución

Multiplica 0.0725 e 3 para obter 0.2175.

$$\frac{0.2175\times 0.1725+3\times 0.0729}{9\times 0.1725+20\times 0.0725}$$

Multiplica 0.2175 e 0.1725 para obter 0.03751875.

$$\frac{0.03751875+3\times 0.0729}{9\times 0.1725+20\times 0.0725}$$

Multiplica 3 e 0.0729 para obter 0.2187.

$$\frac{0.03751875+0.2187}{9\times 0.1725+20\times 0.0725}$$

Suma 0.03751875 e 0.2187 para obter 0.25621875.

$$\frac{0.25621875}{9\times 0.1725+20\times 0.0725}$$

Multiplica 9 e 0.1725 para obter 1.5525.

$$\frac{0.25621875}{1.5525+20\times 0.0725}$$

Multiplica 20 e 0.0725 para obter 1.45.

$$\frac{0.25621875}{1.5525+1.45}$$

Suma 1.5525 e 1.45 para obter 3.0025.

$$\frac{0.25621875}{3.0025}$$

Expande \frac{0.25621875}{3.0025} multiplicando o numerador e o denominador por 100000000.

$$\frac{25621875}{300250000}$$

Reduce a fracción \frac{25621875}{300250000} a termos máis baixos extraendo e cancelando 3125.

$$\frac{8199}{96080}$$

Factorizar

$$\frac{911 \cdot 3 ^ {2}}{5 \cdot 1201 \cdot 2 ^ {4}} = 0.08533513738551207$$