1/8(320/17+320/25+31) eching

$$\frac { 1 } { 8 } ( \frac { 320 } { 17 } + \frac { 320 } { 25 } + 31 )$$

Baholash

$$\frac{5323}{680}\approx 7,827941176$$

Yechim qadamlari

\frac{320}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{8}\left(\frac{320}{17}+\frac{64}{5}+31\right)$$

17 va 5 ning eng kichik umumiy karralisi 85 ga teng. \frac{320}{17} va \frac{64}{5} ni 85 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{8}\left(\frac{1600}{85}+\frac{1088}{85}+31\right)$$

\frac{1600}{85} va \frac{1088}{85} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{8}\left(\frac{1600+1088}{85}+31\right)$$

2688 olish uchun 1600 va 1088'ni qo'shing.

$$\frac{1}{8}\left(\frac{2688}{85}+31\right)$$

31 ni \frac{2635}{85} kasrga o‘giring.

$$\frac{1}{8}\left(\frac{2688}{85}+\frac{2635}{85}\right)$$

\frac{2688}{85} va \frac{2635}{85} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{8}\times \frac{2688+2635}{85}$$

5323 olish uchun 2688 va 2635'ni qo'shing.

$$\frac{1}{8}\times \frac{5323}{85}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{8} ni \frac{5323}{85} ga ko‘paytiring.

$$\frac{1\times 5323}{8\times 85}$$

\frac{1\times 5323}{8\times 85} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5323}{680}$$

Omil

$$\frac{5323}{2 ^ {3} \cdot 5 \cdot 17} = 7\frac{563}{680} = 7,827941176470588$$