Resolver 11*10*9div3div2+11*10*9*8*7*6div6div5div4div3div2+11*10*9*8*7*6*5*4*3div9div8div7div6div5div4div3div2

$$11 \times 10 \times 9 \div 3 \div 2+11 \times 10 \times 9 \times 8 \times 7 \times 6 \div 6 \div 5 \div 4 \div 3 \div 2+11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \div 9 \div 8 \div 7 \div 6 \div 5 \div 4 \div 3 \div 2$$

Avaliar

$$682$$

Passos Para a Resolução

Expresse \frac{\frac{11\times 10\times 9}{3}}{2} como uma fração única.

$$\frac{11\times 10\times 9}{3\times 2}+\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5}}{4}}{3}}{2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Anule 2\times 3 no numerador e no denominador.

$$3\times 5\times 11+\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5}}{4}}{3}}{2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Multiplique 3 e 5 para obter 15.

$$15\times 11+\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5}}{4}}{3}}{2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Multiplique 15 e 11 para obter 165.

$$165+\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5}}{4}}{3}}{2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Expresse \frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5}}{4}}{3}}{2} como uma fração única.

$$165+\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5}}{4}}{3\times 2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Expresse \frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5}}{4} como uma fração única.

$$165+\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5\times 4}}{3\times 2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Anule 6 e 6.

$$165+\frac{\frac{11\times 10\times 9\times 8\times 7}{5\times 4}}{3\times 2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Multiplique 11 e 10 para obter 110.

$$165+\frac{\frac{110\times 9\times 8\times 7}{5\times 4}}{3\times 2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Multiplique 110 e 9 para obter 990.

$$165+\frac{\frac{990\times 8\times 7}{5\times 4}}{3\times 2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Multiplique 990 e 8 para obter 7920.

$$165+\frac{\frac{7920\times 7}{5\times 4}}{3\times 2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Multiplique 7920 e 7 para obter 55440.

$$165+\frac{\frac{55440}{5\times 4}}{3\times 2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Multiplique 5 e 4 para obter 20.

$$165+\frac{\frac{55440}{20}}{3\times 2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Dividir 55440 por 20 para obter 2772.

$$165+\frac{2772}{3\times 2}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Multiplique 3 e 2 para obter 6.

$$165+\frac{2772}{6}+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Dividir 2772 por 6 para obter 462.

$$165+462+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Some 165 e 462 para obter 627.

$$627+\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2}$$

Expresse \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3}}{2} como uma fração única.

$$627+\frac{\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4}}{3\times 2}$$

Expresse \frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5}}{4} como uma fração única.

$$627+\frac{\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6}}{5\times 4}}{3\times 2}$$

Expresse \frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7}}{6} como uma fração única.

$$627+\frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8}}{7\times 6}}{5\times 4}}{3\times 2}$$

Expresse \frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8} como uma fração única.

$$627+\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9\times 8}}{7\times 6}}{5\times 4}}{3\times 2}$$

Anule 2\times 4\times 9 no numerador e no denominador.

$$627+\frac{\frac{\frac{2\times 3\times 4\times 5\times 5\times 6\times 7\times 11}{7\times 6}}{5\times 4}}{3\times 2}$$

Multiplique 2 e 3 para obter 6.

$$627+\frac{\frac{\frac{6\times 4\times 5\times 5\times 6\times 7\times 11}{7\times 6}}{5\times 4}}{3\times 2}$$

Multiplique 6 e 4 para obter 24.

$$627+\frac{\frac{\frac{24\times 5\times 5\times 6\times 7\times 11}{7\times 6}}{5\times 4}}{3\times 2}$$

Multiplique 24 e 5 para obter 120.

$$627+\frac{\frac{\frac{120\times 5\times 6\times 7\times 11}{7\times 6}}{5\times 4}}{3\times 2}$$

Multiplique 120 e 5 para obter 600.

$$627+\frac{\frac{\frac{600\times 6\times 7\times 11}{7\times 6}}{5\times 4}}{3\times 2}$$

Multiplique 600 e 6 para obter 3600.

$$627+\frac{\frac{\frac{3600\times 7\times 11}{7\times 6}}{5\times 4}}{3\times 2}$$

Multiplique 3600 e 7 para obter 25200.

$$627+\frac{\frac{\frac{25200\times 11}{7\times 6}}{5\times 4}}{3\times 2}$$

Multiplique 25200 e 11 para obter 277200.

$$627+\frac{\frac{\frac{277200}{7\times 6}}{5\times 4}}{3\times 2}$$

Multiplique 7 e 6 para obter 42.

$$627+\frac{\frac{\frac{277200}{42}}{5\times 4}}{3\times 2}$$

Dividir 277200 por 42 para obter 6600.

$$627+\frac{\frac{6600}{5\times 4}}{3\times 2}$$

Multiplique 5 e 4 para obter 20.

$$627+\frac{\frac{6600}{20}}{3\times 2}$$

Dividir 6600 por 20 para obter 330.

$$627+\frac{330}{3\times 2}$$

Multiplique 3 e 2 para obter 6.

$$627+\frac{330}{6}$$

Dividir 330 por 6 para obter 55.

$$627+55$$

Some 627 e 55 para obter 682.

$$682$$

Fatorizar

$$2\times 11\times 31$$