Resolver 7*150*3.5+7*69*(7+12+3.5)*2+7*200*(7+12+7+100)*2/7*150+7*69*2+7*200*2

$$\frac { 7 \times 150 \times 3.5 + 7 \times 69 \times ( 7 + 12 + 3.5 ) \times 2 + 7 \times 200 \times ( 7 + 12 + 7 + 100 ) \times 2 } { 7 \times 150 + 7 \times 69 \times 2 + 7 \times 200 \times 2 }$$

Calcular

$$\frac{27015}{344}\approx 78.531976744$$

Pasos da solución

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

$$\frac{1050\times 3.5+483\left(7+12+3.5\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 1050 e 3.5 para obter 3675.

$$\frac{3675+483\left(7+12+3.5\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 7 e 12 para obter 19.

$$\frac{3675+483\left(19+3.5\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 19 e 3.5 para obter 22.5.

$$\frac{3675+483\times 22.5\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 483 e 22.5 para obter 10867.5.

$$\frac{3675+10867.5\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 10867.5 e 2 para obter 21735.

$$\frac{3675+21735+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 3675 e 21735 para obter 25410.

$$\frac{25410+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 7 e 12 para obter 19.

$$\frac{25410+1400\left(19+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 19 e 7 para obter 26.

$$\frac{25410+1400\left(26+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 26 e 100 para obter 126.

$$\frac{25410+1400\times 126\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 1400 e 126 para obter 176400.

$$\frac{25410+176400\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiplica 176400 e 2 para obter 352800.

$$\frac{25410+352800}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Suma 25410 e 352800 para obter 378210.

$$\frac{378210}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

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

$$\frac{378210}{1050+483\times 2+1400\times 2}$$

Multiplica 483 e 2 para obter 966.

$$\frac{378210}{1050+966+1400\times 2}$$

Suma 1050 e 966 para obter 2016.

$$\frac{378210}{2016+1400\times 2}$$

Multiplica 1400 e 2 para obter 2800.

$$\frac{378210}{2016+2800}$$

Suma 2016 e 2800 para obter 4816.

$$\frac{378210}{4816}$$

Reduce a fracción \frac{378210}{4816} a termos máis baixos extraendo e cancelando 14.

$$\frac{27015}{344}$$

Factorizar

$$\frac{3 \cdot 5 \cdot 1801}{43 \cdot 2 ^ {3}} = 78\frac{183}{344} = 78.53197674418605$$