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

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

Izračunaj

$$682$$

Koraci rješenja

Izrazite \frac{\frac{11\times 10\times 9}{3}}{2} kao jedan razlomak.

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

Skratite 2\times 3 u brojniku i nazivniku.

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

Pomnožite 3 i 5 da biste dobili 15.

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

Pomnožite 15 i 11 da biste dobili 165.

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

Izrazite \frac{\frac{\frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5}}{4}}{3}}{2} kao jedan razlomak.

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

Izrazite \frac{\frac{\frac{11\times 10\times 9\times 8\times 7\times 6}{6}}{5}}{4} kao jedan razlomak.

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

Skraćivanje 6 i 6.

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

Pomnožite 11 i 10 da biste dobili 110.

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

Pomnožite 110 i 9 da biste dobili 990.

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

Pomnožite 990 i 8 da biste dobili 7920.

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

Pomnožite 7920 i 7 da biste dobili 55440.

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

Pomnožite 5 i 4 da biste dobili 20.

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

Podijelite 55440 s 20 da biste dobili 2772.

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

Pomnožite 3 i 2 da biste dobili 6.

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

Podijelite 2772 s 6 da biste dobili 462.

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

Dodajte 165 broju 462 da biste dobili 627.

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

Izrazite \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} kao jedan razlomak.

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

Izrazite \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} kao jedan razlomak.

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

Izrazite \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} kao jedan razlomak.

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

Izrazite \frac{\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3}{9}}{8} kao jedan razlomak.

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

Skratite 2\times 4\times 9 u brojniku i nazivniku.

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

Pomnožite 2 i 3 da biste dobili 6.

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

Pomnožite 6 i 4 da biste dobili 24.

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

Pomnožite 24 i 5 da biste dobili 120.

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

Pomnožite 120 i 5 da biste dobili 600.

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

Pomnožite 600 i 6 da biste dobili 3600.

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

Pomnožite 3600 i 7 da biste dobili 25200.

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

Pomnožite 25200 i 11 da biste dobili 277200.

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

Pomnožite 7 i 6 da biste dobili 42.

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

Podijelite 277200 s 42 da biste dobili 6600.

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

Pomnožite 5 i 4 da biste dobili 20.

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

Podijelite 6600 s 20 da biste dobili 330.

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

Pomnožite 3 i 2 da biste dobili 6.

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

Podijelite 330 s 6 da biste dobili 55.

$$627+55$$

Dodajte 627 broju 55 da biste dobili 682.

$$682$$

Faktor

$$2\times 11\times 31$$