Lahenda 4div11div10div9div8div7div6div5

$$4 \div 11 \div 10 \div 9 \div 8 \div 7 \div 6 \div 5$$

Arvuta

$$\frac{1}{415800}\approx 0,000002405$$

Lahenduse etapid

Avaldage \frac{\frac{\frac{\frac{\frac{\frac{\frac{4}{11}}{10}}{9}}{8}}{7}}{6}}{5} ühe murdarvuna.

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

Avaldage \frac{\frac{\frac{\frac{\frac{4}{11}}{10}}{9}}{8}}{7} ühe murdarvuna.

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

Avaldage \frac{\frac{\frac{4}{11}}{10}}{9} ühe murdarvuna.

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

Korrutage 10 ja 9, et leida 90.

$$\frac{\frac{\frac{\frac{4}{11}}{90}}{8\times 7}}{6\times 5}$$

Avaldage \frac{\frac{4}{11}}{90} ühe murdarvuna.

$$\frac{\frac{\frac{4}{11\times 90}}{8\times 7}}{6\times 5}$$

Korrutage 11 ja 90, et leida 990.

$$\frac{\frac{\frac{4}{990}}{8\times 7}}{6\times 5}$$

Taandage murd \frac{4}{990} vähimale ühiskordsele, eraldades ja taandades arvu 2.

$$\frac{\frac{\frac{2}{495}}{8\times 7}}{6\times 5}$$

Korrutage 8 ja 7, et leida 56.

$$\frac{\frac{\frac{2}{495}}{56}}{6\times 5}$$

Avaldage \frac{\frac{2}{495}}{56} ühe murdarvuna.

$$\frac{\frac{2}{495\times 56}}{6\times 5}$$

Korrutage 495 ja 56, et leida 27720.

$$\frac{\frac{2}{27720}}{6\times 5}$$

Taandage murd \frac{2}{27720} vähimale ühiskordsele, eraldades ja taandades arvu 2.

$$\frac{\frac{1}{13860}}{6\times 5}$$

Korrutage 6 ja 5, et leida 30.

$$\frac{\frac{1}{13860}}{30}$$

Avaldage \frac{\frac{1}{13860}}{30} ühe murdarvuna.

$$\frac{1}{13860\times 30}$$

Korrutage 13860 ja 30, et leida 415800.

$$\frac{1}{415800}$$

Lahuta teguriteks

$$\frac{1}{2 ^ {3} \cdot 3 ^ {3} \cdot 5 ^ {2} \cdot 7 \cdot 11} = 2,405002405002405 \times 10^{-6}$$