Resolver (20*30div2+20(20*30+7*40+13*20div2)*13)div13

$$(20 \times 30 \div 2+20(20 \times 30+7 \times 40+13 \times 20 \div 2) \times 13) \div 13$$

Calcular

$$\frac{262900}{13}\approx 20223.076923077$$

Pasos da solución

Multiplica 20 e 30 para obter 600.

$$\frac{\frac{600}{2}+20\left(20\times 30+7\times 40+\frac{13\times 20}{2}\right)\times 13}{13}$$

Divide 600 entre 2 para obter 300.

$$\frac{300+20\left(20\times 30+7\times 40+\frac{13\times 20}{2}\right)\times 13}{13}$$

Multiplica 20 e 30 para obter 600. Multiplica 7 e 40 para obter 280.

$$\frac{300+20\left(600+280+\frac{13\times 20}{2}\right)\times 13}{13}$$

Suma 600 e 280 para obter 880.

$$\frac{300+20\left(880+\frac{13\times 20}{2}\right)\times 13}{13}$$

Multiplica 13 e 20 para obter 260.

$$\frac{300+20\left(880+\frac{260}{2}\right)\times 13}{13}$$

Divide 260 entre 2 para obter 130.

$$\frac{300+20\left(880+130\right)\times 13}{13}$$

Suma 880 e 130 para obter 1010.

$$\frac{300+20\times 1010\times 13}{13}$$

Multiplica 20 e 1010 para obter 20200.

$$\frac{300+20200\times 13}{13}$$

Multiplica 20200 e 13 para obter 262600.

$$\frac{300+262600}{13}$$

Suma 300 e 262600 para obter 262900.

$$\frac{262900}{13}$$

Factorizar

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 11 \cdot 239}{13} = 20223\frac{1}{13} = 20223.076923076922$$