100/frac{30{5}+10/8+60/50} eching

$$\frac { 100 } { \frac { 30 } { 5 } + \frac { 10 } { 8 } + \frac { 60 } { 50 } }$$

Baholash

$$\frac{2000}{169}\approx 11,834319527$$

Yechim qadamlari

6 ni olish uchun 30 ni 5 ga bo‘ling.

$$\frac{100}{6+\frac{10}{8}+\frac{60}{50}}$$

\frac{10}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{100}{6+\frac{5}{4}+\frac{60}{50}}$$

6 ni \frac{24}{4} kasrga o‘giring.

$$\frac{100}{\frac{24}{4}+\frac{5}{4}+\frac{60}{50}}$$

\frac{24}{4} va \frac{5}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{100}{\frac{24+5}{4}+\frac{60}{50}}$$

29 olish uchun 24 va 5'ni qo'shing.

$$\frac{100}{\frac{29}{4}+\frac{60}{50}}$$

\frac{60}{50} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{100}{\frac{29}{4}+\frac{6}{5}}$$

4 va 5 ning eng kichik umumiy karralisi 20 ga teng. \frac{29}{4} va \frac{6}{5} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{100}{\frac{145}{20}+\frac{24}{20}}$$

\frac{145}{20} va \frac{24}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{100}{\frac{145+24}{20}}$$

169 olish uchun 145 va 24'ni qo'shing.

$$\frac{100}{\frac{169}{20}}$$

100 ni \frac{169}{20} ga bo'lish 100 ga k'paytirish \frac{169}{20} ga qaytarish.

$$100\times \frac{20}{169}$$

100\times \frac{20}{169} ni yagona kasrga aylantiring.

$$\frac{100\times 20}{169}$$

2000 hosil qilish uchun 100 va 20 ni ko'paytirish.

$$\frac{2000}{169}$$

Omil

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{13 ^ {2}} = 11\frac{141}{169} = 11,834319526627219$$