Resolver 7*150*35+7*69*(7+12+35)*2+7*200*(7+12+7+100)*2/7*150+7*69*2+7*200*2

$$\frac { 7 \times 150 \times 35 + 7 \times 69 \times ( 7 + 12 + 35 ) \times 2 + 7 \times 200 \times ( 7 + 12 + 7 + 100 ) \times 2 } { 7 \times 150 + 7 \times 69 \times 2 + 7 \times 200 \times 2 }$$

Calcular

$$\frac{31551}{344}\approx 91.718023256$$

Pasos da solución

Multiplica 7 e 150 para obter 1050. Multiplica 7 e 69 para obter 483. Multiplica 7 e 200 para obter 1400.

$$\frac{1050\times 35+483\left(7+12+35\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 1050 e 35 para obter 36750.

$$\frac{36750+483\left(7+12+35\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 7 e 12 para obter 19.

$$\frac{36750+483\left(19+35\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 19 e 35 para obter 54.

$$\frac{36750+483\times 54\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 483 e 54 para obter 26082.

$$\frac{36750+26082\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 26082 e 2 para obter 52164.

$$\frac{36750+52164+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 36750 e 52164 para obter 88914.

$$\frac{88914+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 7 e 12 para obter 19.

$$\frac{88914+1400\left(19+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 19 e 7 para obter 26.

$$\frac{88914+1400\left(26+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 26 e 100 para obter 126.

$$\frac{88914+1400\times 126\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 1400 e 126 para obter 176400.

$$\frac{88914+176400\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 176400 e 2 para obter 352800.

$$\frac{88914+352800}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 88914 e 352800 para obter 441714.

$$\frac{441714}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 7 e 150 para obter 1050. Multiplica 7 e 69 para obter 483. Multiplica 7 e 200 para obter 1400.

$$\frac{441714}{1050+483\times 2+1400\times 2}$$

Multiplica 483 e 2 para obter 966.

$$\frac{441714}{1050+966+1400\times 2}$$

Suma 1050 e 966 para obter 2016.

$$\frac{441714}{2016+1400\times 2}$$

Multiplica 1400 e 2 para obter 2800.

$$\frac{441714}{2016+2800}$$

Suma 2016 e 2800 para obter 4816.

$$\frac{441714}{4816}$$

Reduce a fracción \frac{441714}{4816} a termos máis baixos extraendo e cancelando 14.

$$\frac{31551}{344}$$

Factorizar

$$\frac{3 \cdot 13 \cdot 809}{2 ^ {3} \cdot 43} = 91\frac{247}{344} = 91.71802325581395$$