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

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

Enrhifo

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

Camau Ateb

Ffactorial 30 yw 265252859812191058636308480000000.

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

Ffactorial 4 yw 24.

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

Rhannu 265252859812191058636308480000000 â 24 i gael 11052202492174627443179520000000.

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

Ffactorial 26 yw 403291461126605635584000000.

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

Rhannu 11052202492174627443179520000000 â 403291461126605635584000000 i gael 27405.

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

Lluosi 27405 a 10 i gael 274050.

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

Ffactorial 40 yw 815915283247897734345611269596115894272000000000.

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

Ffactorial 5 yw 120.

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

Rhannu 815915283247897734345611269596115894272000000000 â 120 i gael 6799294027065814452880093913300965785600000000.

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

Ffactorial 35 yw 10333147966386144929666651337523200000000.

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

Rhannu 6799294027065814452880093913300965785600000000 â 10333147966386144929666651337523200000000 i gael 658008.

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

Lleihau'r ffracsiwn \frac{274050}{658008} i'r graddau lleiaf posib drwy dynnu a chanslo allan 18.

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

Ffactor

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