Réitigh 30!div4!div26!*10/40!div5!div35!

$$\frac{ 30 ! \div 4 ! \div 26 ! \times 10 }{ 40 ! \div 5 ! \div 35 ! }$$

Luacháil

$$\frac{15225}{36556}\approx 0.416484298$$

Céimeanna Réitigh

Is é iolrán 30 ná 265252859812191058636308480000000.

$$\frac{\frac{\frac{265252859812191058636308480000000}{4!}}{26!}\times 10}{\frac{\frac{40!}{5!}}{35!}}$$

Is é iolrán 4 ná 24.

$$\frac{\frac{\frac{265252859812191058636308480000000}{24}}{26!}\times 10}{\frac{\frac{40!}{5!}}{35!}}$$

Roinn 265252859812191058636308480000000 faoi 24 chun 11052202492174627443179520000000 a fháil.

$$\frac{\frac{11052202492174627443179520000000}{26!}\times 10}{\frac{\frac{40!}{5!}}{35!}}$$

Is é iolrán 26 ná 403291461126605635584000000.

$$\frac{\frac{11052202492174627443179520000000}{403291461126605635584000000}\times 10}{\frac{\frac{40!}{5!}}{35!}}$$

Roinn 11052202492174627443179520000000 faoi 403291461126605635584000000 chun 27405 a fháil.

$$\frac{27405\times 10}{\frac{\frac{40!}{5!}}{35!}}$$

Méadaigh 27405 agus 10 chun 274050 a fháil.

$$\frac{274050}{\frac{\frac{40!}{5!}}{35!}}$$

Is é iolrán 40 ná 815915283247897734345611269596115894272000000000.

$$\frac{274050}{\frac{\frac{815915283247897734345611269596115894272000000000}{5!}}{35!}}$$

Is é iolrán 5 ná 120.

$$\frac{274050}{\frac{\frac{815915283247897734345611269596115894272000000000}{120}}{35!}}$$

Roinn 815915283247897734345611269596115894272000000000 faoi 120 chun 6799294027065814452880093913300965785600000000 a fháil.

$$\frac{274050}{\frac{6799294027065814452880093913300965785600000000}{35!}}$$

Is é iolrán 35 ná 10333147966386144929666651337523200000000.

$$\frac{274050}{\frac{6799294027065814452880093913300965785600000000}{10333147966386144929666651337523200000000}}$$

Roinn 6799294027065814452880093913300965785600000000 faoi 10333147966386144929666651337523200000000 chun 658008 a fháil.

$$\frac{274050}{658008}$$

Laghdaigh an codán \frac{274050}{658008} chuig na téarmaí is ísle trí 18 a bhaint agus a chealú.

$$\frac{15225}{36556}$$

Fachtóirigh

$$\frac{3 \cdot 5 ^ {2} \cdot 7 \cdot 29}{2 ^ {2} \cdot 13 \cdot 19 \cdot 37} = 0.41648429806324544$$