Resolver 10*(5*6*7*8*9*10*11*12)[phone]:10=

$$10 \times ( 5 \times 6 \times 7 \times 8 \times 9 \times 10 \times 11 \times 12 ) + 123045678 : 10 =$$

Calcular

$$\frac{1059442839}{5}=211888567.8$$

Pasos da solución

Multiplica 10 e 5 para obter 50.

$$50\times 6\times 7\times 8\times 9\times 10\times 11\times 12+\frac{123045678}{10}$$

Multiplica 50 e 6 para obter 300.

$$300\times 7\times 8\times 9\times 10\times 11\times 12+\frac{123045678}{10}$$

Multiplica 300 e 7 para obter 2100.

$$2100\times 8\times 9\times 10\times 11\times 12+\frac{123045678}{10}$$

Multiplica 2100 e 8 para obter 16800.

$$16800\times 9\times 10\times 11\times 12+\frac{123045678}{10}$$

Multiplica 16800 e 9 para obter 151200.

$$151200\times 10\times 11\times 12+\frac{123045678}{10}$$

Multiplica 151200 e 10 para obter 1512000.

$$1512000\times 11\times 12+\frac{123045678}{10}$$

Multiplica 1512000 e 11 para obter 16632000.

$$16632000\times 12+\frac{123045678}{10}$$

Multiplica 16632000 e 12 para obter 199584000.

$$199584000+\frac{123045678}{10}$$

Reduce a fracción \frac{123045678}{10} a termos máis baixos extraendo e cancelando 2.

$$199584000+\frac{61522839}{5}$$

Converter 199584000 á fracción \frac{997920000}{5}.

$$\frac{997920000}{5}+\frac{61522839}{5}$$

Dado que \frac{997920000}{5} e \frac{61522839}{5} teñen o mesmo denominador, súmaos mediante a suma dos seus numeradores.

$$\frac{997920000+61522839}{5}$$

Suma 997920000 e 61522839 para obter 1059442839.

$$\frac{1059442839}{5}$$

Factorizar

$$\frac{3 ^ {2} \cdot 7 \cdot 13 \cdot 17 \cdot 47 \cdot 1619}{5} = 211888567\frac{4}{5} = 211888567.8$$