Whakaoti i te 30!div4!div26!*10/40!div5!div35!

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

Aromātai

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

Ngā Upane Otinga

Ko te huarea o 30 ko 265252859812191058636308480000000.

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

Ko te huarea o 4 ko 24.

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

Whakawehea te 265252859812191058636308480000000 ki te 24, kia riro ko 11052202492174627443179520000000.

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

Ko te huarea o 26 ko 403291461126605635584000000.

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

Whakawehea te 11052202492174627443179520000000 ki te 403291461126605635584000000, kia riro ko 27405.

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

Whakareatia te 27405 ki te 10, ka 274050.

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

Ko te huarea o 40 ko 815915283247897734345611269596115894272000000000.

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

Ko te huarea o 5 ko 120.

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

Whakawehea te 815915283247897734345611269596115894272000000000 ki te 120, kia riro ko 6799294027065814452880093913300965785600000000.

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

Ko te huarea o 35 ko 10333147966386144929666651337523200000000.

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

Whakawehea te 6799294027065814452880093913300965785600000000 ki te 10333147966386144929666651337523200000000, kia riro ko 658008.

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

Whakahekea te hautanga \frac{274050}{658008} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 18.

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

Tauwehe

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