1/8(160/17+160/25+31) eching

$$\frac { 1 } { 8 } ( \frac { 160 } { 17 } + \frac { 160 } { 25 } + 31 )$$

Baholash

$$\frac{3979}{680}\approx 5,851470588$$

Yechim qadamlari

\frac{160}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{8}\left(\frac{160}{17}+\frac{32}{5}+31\right)$$

17 va 5 ning eng kichik umumiy karralisi 85 ga teng. \frac{160}{17} va \frac{32}{5} ni 85 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{8}\left(\frac{800}{85}+\frac{544}{85}+31\right)$$

\frac{800}{85} va \frac{544}{85} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{8}\left(\frac{800+544}{85}+31\right)$$

1344 olish uchun 800 va 544'ni qo'shing.

$$\frac{1}{8}\left(\frac{1344}{85}+31\right)$$

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

$$\frac{1}{8}\left(\frac{1344}{85}+\frac{2635}{85}\right)$$

\frac{1344}{85} va \frac{2635}{85} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{8}\times \frac{1344+2635}{85}$$

3979 olish uchun 1344 va 2635'ni qo'shing.

$$\frac{1}{8}\times \frac{3979}{85}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{8} ni \frac{3979}{85} ga ko‘paytiring.

$$\frac{1\times 3979}{8\times 85}$$

\frac{1\times 3979}{8\times 85} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3979}{680}$$

Omil

$$\frac{23 \cdot 173}{2 ^ {3} \cdot 5 \cdot 17} = 5\frac{579}{680} = 5,851470588235294$$