Lahenda 75000div11(1-(1div(111^6)))

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

Arvuta

$$\frac{4250942164000000}{623471517387}\approx 6818,181818178$$

Lahenduse etapid

Arvutage 6 aste 111 ja leidke 1870414552161.

$$\frac{75000}{11}\left(1-\frac{1}{1870414552161}\right)$$

Teisendage 1 murdarvuks \frac{1870414552161}{1870414552161}.

$$\frac{75000}{11}\left(\frac{1870414552161}{1870414552161}-\frac{1}{1870414552161}\right)$$

Kuna murdudel \frac{1870414552161}{1870414552161} ja \frac{1}{1870414552161} on sama nimetaja, lahutage nende lugejad.

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

Lahutage 1 väärtusest 1870414552161, et leida 1870414552160.

$$\frac{75000}{11}\times \frac{1870414552160}{1870414552161}$$

Korrutage omavahel \frac{75000}{11} ja \frac{1870414552160}{1870414552161}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

$$\frac{75000\times 1870414552160}{11\times 1870414552161}$$

Tehke korrutustehted murruga \frac{75000\times 1870414552160}{11\times 1870414552161}.

$$\frac{140281091412000000}{20574560073771}$$

Taandage murd \frac{140281091412000000}{20574560073771} vähimale ühiskordsele, eraldades ja taandades arvu 33.

$$\frac{4250942164000000}{623471517387}$$

Lahuta teguriteks

$$\frac{2 ^ {8} \cdot 5 ^ {6} \cdot 7 \cdot 12211 \cdot 12433}{3 ^ {5} \cdot 37 ^ {6}} = 6818\frac{113358455434}{623471517387} = 6818,181818178173$$