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

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

Ovrednoti

$$\frac{15225}{36556}\approx 0,416484298$$

Koraki rešitve

Fakulteta vrednosti 30 je 265252859812191058636308480000000.

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

Fakulteta vrednosti 4 je 24.

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

Delite 265252859812191058636308480000000 s/z 24, da dobite 11052202492174627443179520000000.

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

Fakulteta vrednosti 26 je 403291461126605635584000000.

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

Delite 11052202492174627443179520000000 s/z 403291461126605635584000000, da dobite 27405.

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

Pomnožite 27405 in 10, da dobite 274050.

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

Fakulteta vrednosti 40 je 815915283247897734345611269596115894272000000000.

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

Fakulteta vrednosti 5 je 120.

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

Delite 815915283247897734345611269596115894272000000000 s/z 120, da dobite 6799294027065814452880093913300965785600000000.

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

Fakulteta vrednosti 35 je 10333147966386144929666651337523200000000.

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

Delite 6799294027065814452880093913300965785600000000 s/z 10333147966386144929666651337523200000000, da dobite 658008.

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

Zmanjšajte ulomek \frac{274050}{658008} na najmanjši imenovalec tako, da izpeljete in okrajšate 18.

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

Faktoriziraj

$$\frac{3 \cdot 5 ^ {2} \cdot 7 \cdot 29}{2 ^ {2} \cdot 13 \cdot 19 \cdot 37} = 0,41648429806324544$$