Lahenda (75000div11)*1-1/111^6

$$(75000 \div 11) \times 1- \frac{ 1 }{ { 111 }^{ 6 } }$$

Arvuta

$$\frac{140281091412074989}{20574560073771}\approx 6818,181818182$$

Lahenduse etapid

Korrutage \frac{75000}{11} ja 1, et leida \frac{75000}{11}.

$$\frac{75000}{11}-\frac{1}{111^{6}}$$

Arvutage 6 aste 111 ja leidke 1870414552161.

$$\frac{75000}{11}-\frac{1}{1870414552161}$$

11 ja 1870414552161 vähim ühiskordne on 20574560073771. Teisendage \frac{75000}{11} ja \frac{1}{1870414552161} murdarvudeks, mille nimetaja on 20574560073771.

$$\frac{140281091412075000}{20574560073771}-\frac{11}{20574560073771}$$

Kuna murdudel \frac{140281091412075000}{20574560073771} ja \frac{11}{20574560073771} on sama nimetaja, lahutage nende lugejad.

$$\frac{140281091412075000-11}{20574560073771}$$

Lahutage 11 väärtusest 140281091412075000, et leida 140281091412074989.

$$\frac{140281091412074989}{20574560073771}$$

Lahuta teguriteks

$$\frac{19 \cdot 83 \cdot 2371 \cdot 10271 \cdot 3652777}{3 ^ {6} \cdot 11 \cdot 37 ^ {6}} = 6818\frac{3740829104314}{20574560073771} = 6818,181818181818$$