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

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

मूल्यांकन करचें

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

सोडोवणी पांवडे

30 चो फॅक्टोरियल 265252859812191058636308480000000 आसा.

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

4 चो फॅक्टोरियल 24 आसा.

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

11052202492174627443179520000000 मेळोवंक 265252859812191058636308480000000 क 24 न भाग लावचो.

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

26 चो फॅक्टोरियल 403291461126605635584000000 आसा.

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

27405 मेळोवंक 11052202492174627443179520000000 क 403291461126605635584000000 न भाग लावचो.

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

274050 मेळोवंक 27405 आनी 10 गुणचें.

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

40 चो फॅक्टोरियल 815915283247897734345611269596115894272000000000 आसा.

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

5 चो फॅक्टोरियल 120 आसा.

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

6799294027065814452880093913300965785600000000 मेळोवंक 815915283247897734345611269596115894272000000000 क 120 न भाग लावचो.

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

35 चो फॅक्टोरियल 10333147966386144929666651337523200000000 आसा.

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

658008 मेळोवंक 6799294027065814452880093913300965785600000000 क 10333147966386144929666651337523200000000 न भाग लावचो.

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

18 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{274050}{658008} उणो करचो.

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

गुणकपद

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