450/117+550/117^2+650/117^3+750/117^4+frac{850}{117^5} eching

$$\frac { 450 } { 117 } + \frac { 550 } { 117 ^ { 2 } } + \frac { 650 } { 117 ^ { 3 } } + \frac { 750 } { 117 ^ { 4 } } + \frac { 850 } { 117 ^ { 5 } }$$

Baholash

$$\frac{85214798050}{21924480357}\approx 3,886741973$$

Yechim qadamlari

\frac{450}{117} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{50}{13}+\frac{550}{117^{2}}+\frac{650}{117^{3}}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

2 daraja ko‘rsatkichini 117 ga hisoblang va 13689 ni qiymatni oling.

$$\frac{50}{13}+\frac{550}{13689}+\frac{650}{117^{3}}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

13 va 13689 ning eng kichik umumiy karralisi 13689 ga teng. \frac{50}{13} va \frac{550}{13689} ni 13689 maxraj bilan kasrlarga aylantirib oling.

$$\frac{52650}{13689}+\frac{550}{13689}+\frac{650}{117^{3}}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

\frac{52650}{13689} va \frac{550}{13689} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{52650+550}{13689}+\frac{650}{117^{3}}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

53200 olish uchun 52650 va 550'ni qo'shing.

$$\frac{53200}{13689}+\frac{650}{117^{3}}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

3 daraja ko‘rsatkichini 117 ga hisoblang va 1601613 ni qiymatni oling.

$$\frac{53200}{13689}+\frac{650}{1601613}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

\frac{650}{1601613} ulushini 13 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{53200}{13689}+\frac{50}{123201}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

13689 va 123201 ning eng kichik umumiy karralisi 123201 ga teng. \frac{53200}{13689} va \frac{50}{123201} ni 123201 maxraj bilan kasrlarga aylantirib oling.

$$\frac{478800}{123201}+\frac{50}{123201}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

\frac{478800}{123201} va \frac{50}{123201} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{478800+50}{123201}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

478850 olish uchun 478800 va 50'ni qo'shing.

$$\frac{478850}{123201}+\frac{750}{117^{4}}+\frac{850}{117^{5}}$$

4 daraja ko‘rsatkichini 117 ga hisoblang va 187388721 ni qiymatni oling.

$$\frac{478850}{123201}+\frac{750}{187388721}+\frac{850}{117^{5}}$$

\frac{750}{187388721} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{478850}{123201}+\frac{250}{62462907}+\frac{850}{117^{5}}$$

123201 va 62462907 ning eng kichik umumiy karralisi 62462907 ga teng. \frac{478850}{123201} va \frac{250}{62462907} ni 62462907 maxraj bilan kasrlarga aylantirib oling.

$$\frac{242776950}{62462907}+\frac{250}{62462907}+\frac{850}{117^{5}}$$

\frac{242776950}{62462907} va \frac{250}{62462907} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{242776950+250}{62462907}+\frac{850}{117^{5}}$$

242777200 olish uchun 242776950 va 250'ni qo'shing.

$$\frac{242777200}{62462907}+\frac{850}{117^{5}}$$

5 daraja ko‘rsatkichini 117 ga hisoblang va 21924480357 ni qiymatni oling.

$$\frac{242777200}{62462907}+\frac{850}{21924480357}$$

62462907 va 21924480357 ning eng kichik umumiy karralisi 21924480357 ga teng. \frac{242777200}{62462907} va \frac{850}{21924480357} ni 21924480357 maxraj bilan kasrlarga aylantirib oling.

$$\frac{85214797200}{21924480357}+\frac{850}{21924480357}$$

\frac{85214797200}{21924480357} va \frac{850}{21924480357} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{85214797200+850}{21924480357}$$

85214798050 olish uchun 85214797200 va 850'ni qo'shing.

$$\frac{85214798050}{21924480357}$$

Omil

$$\frac{2 \cdot 5 ^ {2} \cdot 37 \cdot 277 \cdot 166289}{3 ^ {10} \cdot 13 ^ {5}} = 3\frac{19441356979}{21924480357} = 3,8867419734667874$$