Resolver 0.0725(13*0.1725)+(3*0.0728)/9*0.1725+20*0.0725

$$\frac { 0.0725 ( 13 \cdot 0.1725 ) + ( 3 \cdot 0.0728 ) } { 9 \cdot 0.1725 + 20 \cdot 0.0725 }$$

Calcular

$$\frac{60957}{480400}\approx 0.12688801$$

Pasos da solución

Multiplica 0.0725 e 13 para obter 0.9425.

$$\frac{0.9425\times 0.1725+3\times 0.0728}{9\times 0.1725+20\times 0.0725}$$

Multiplica 0.9425 e 0.1725 para obter 0.16258125.

$$\frac{0.16258125+3\times 0.0728}{9\times 0.1725+20\times 0.0725}$$

Multiplica 3 e 0.0728 para obter 0.2184.

$$\frac{0.16258125+0.2184}{9\times 0.1725+20\times 0.0725}$$

Suma 0.16258125 e 0.2184 para obter 0.38098125.

$$\frac{0.38098125}{9\times 0.1725+20\times 0.0725}$$

Multiplica 9 e 0.1725 para obter 1.5525.

$$\frac{0.38098125}{1.5525+20\times 0.0725}$$

Multiplica 20 e 0.0725 para obter 1.45.

$$\frac{0.38098125}{1.5525+1.45}$$

Suma 1.5525 e 1.45 para obter 3.0025.

$$\frac{0.38098125}{3.0025}$$

Expande \frac{0.38098125}{3.0025} multiplicando o numerador e o denominador por 100000000.

$$\frac{38098125}{300250000}$$

Reduce a fracción \frac{38098125}{300250000} a termos máis baixos extraendo e cancelando 625.

$$\frac{60957}{480400}$$

Factorizar

$$\frac{13 \cdot 521 \cdot 3 ^ {2}}{1201 \cdot 2 ^ {4} \cdot 5 ^ {2}} = 0.1268880099916736$$