65*1/27+70*2/9+75*4/9+80*8/27 eching

$$65 \times \frac{ 1 }{ 27 } +70 \times \frac{ 2 }{ 9 } +75 \times \frac{ 4 }{ 9 } +80 \times \frac{ 8 }{ 27 }$$

Baholash

$$75$$

Yechim qadamlari

\frac{65}{27} hosil qilish uchun 65 va \frac{1}{27} ni ko'paytirish.

$$\frac{65}{27}+70\times \frac{2}{9}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

70\times \frac{2}{9} ni yagona kasrga aylantiring.

$$\frac{65}{27}+\frac{70\times 2}{9}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

140 hosil qilish uchun 70 va 2 ni ko'paytirish.

$$\frac{65}{27}+\frac{140}{9}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

27 va 9 ning eng kichik umumiy karralisi 27 ga teng. \frac{65}{27} va \frac{140}{9} ni 27 maxraj bilan kasrlarga aylantirib oling.

$$\frac{65}{27}+\frac{420}{27}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

\frac{65}{27} va \frac{420}{27} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{65+420}{27}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

485 olish uchun 65 va 420'ni qo'shing.

$$\frac{485}{27}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

75\times \frac{4}{9} ni yagona kasrga aylantiring.

$$\frac{485}{27}+\frac{75\times 4}{9}+80\times \frac{8}{27}$$

300 hosil qilish uchun 75 va 4 ni ko'paytirish.

$$\frac{485}{27}+\frac{300}{9}+80\times \frac{8}{27}$$

\frac{300}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{485}{27}+\frac{100}{3}+80\times \frac{8}{27}$$

27 va 3 ning eng kichik umumiy karralisi 27 ga teng. \frac{485}{27} va \frac{100}{3} ni 27 maxraj bilan kasrlarga aylantirib oling.

$$\frac{485}{27}+\frac{900}{27}+80\times \frac{8}{27}$$

\frac{485}{27} va \frac{900}{27} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{485+900}{27}+80\times \frac{8}{27}$$

1385 olish uchun 485 va 900'ni qo'shing.

$$\frac{1385}{27}+80\times \frac{8}{27}$$

80\times \frac{8}{27} ni yagona kasrga aylantiring.

$$\frac{1385}{27}+\frac{80\times 8}{27}$$

640 hosil qilish uchun 80 va 8 ni ko'paytirish.

$$\frac{1385}{27}+\frac{640}{27}$$

\frac{1385}{27} va \frac{640}{27} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1385+640}{27}$$

2025 olish uchun 1385 va 640'ni qo'shing.

$$\frac{2025}{27}$$

75 ni olish uchun 2025 ni 27 ga bo‘ling.

$$75$$

Omil

$$3\times 5^{2}$$