Resolver (1+2+6+24+5*4*3*2*4+6*5*3*2*1+7*6*5*4*3*2*1)%6

$$(1+2+6+24+5 \times 4 \times 3 \times 2 \times 4+6 \times 5 \times 3 \times 2 \times 1+7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1) \% 6$$

Avaliar

$$\frac{17199}{50}=343,98$$

Passos Para a Resolução

Multiplique 5 e 4 para obter 20. Multiplique 6 e 5 para obter 30. Multiplique 7 e 6 para obter 42.

$$\frac{1+2+6+24+20\times 3\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Some 1 e 2 para obter 3.

$$\frac{3+6+24+20\times 3\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Some 3 e 6 para obter 9.

$$\frac{9+24+20\times 3\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Some 9 e 24 para obter 33.

$$\frac{33+20\times 3\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Multiplique 20 e 3 para obter 60.

$$\frac{33+60\times 2\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Multiplique 60 e 2 para obter 120.

$$\frac{33+120\times 4+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Multiplique 120 e 4 para obter 480.

$$\frac{33+480+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Some 33 e 480 para obter 513.

$$\frac{513+30\times 3\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Multiplique 30 e 3 para obter 90.

$$\frac{513+90\times 2\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Multiplique 90 e 2 para obter 180.

$$\frac{513+180\times 1+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Multiplique 180 e 1 para obter 180.

$$\frac{513+180+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Some 513 e 180 para obter 693.

$$\frac{693+42\times 5\times 4\times 3\times 2\times 1}{100}\times 6$$

Multiplique 42 e 5 para obter 210.

$$\frac{693+210\times 4\times 3\times 2\times 1}{100}\times 6$$

Multiplique 210 e 4 para obter 840.

$$\frac{693+840\times 3\times 2\times 1}{100}\times 6$$

Multiplique 840 e 3 para obter 2520.

$$\frac{693+2520\times 2\times 1}{100}\times 6$$

Multiplique 2520 e 2 para obter 5040.

$$\frac{693+5040\times 1}{100}\times 6$$

Multiplique 5040 e 1 para obter 5040.

$$\frac{693+5040}{100}\times 6$$

Some 693 e 5040 para obter 5733.

$$\frac{5733}{100}\times 6$$

Expresse \frac{5733}{100}\times 6 como uma fração única.

$$\frac{5733\times 6}{100}$$

Multiplique 5733 e 6 para obter 34398.

$$\frac{34398}{100}$$

Reduza a fração \frac{34398}{100} para os termos mais baixos ao retirar e anular 2.

$$\frac{17199}{50}$$

Fatorizar

$$\frac{3 ^ {3} \cdot 7 ^ {2} \cdot 13}{2 \cdot 5 ^ {2}} = 343\frac{49}{50} = 343,98$$