17/3-10/3div8/34/5+frac{11}{5}+frac{11}{4} eching

$$\frac{ 17 }{ 3 } - \frac{ 10 }{ 3 } \div \frac{ 8 }{ 3 } \frac{ 4 }{ 5 } + \frac{ 11 }{ 5 } + \frac{ 11 }{ 4 }$$

Baholash

$$\frac{577}{60}\approx 9,616666667$$

Yechim qadamlari

\frac{10}{3} ni \frac{8}{3} ga bo'lish \frac{10}{3} ga k'paytirish \frac{8}{3} ga qaytarish.

$$\frac{17}{3}-\frac{10}{3}\times \frac{3}{8}\times \frac{4}{5}+\frac{11}{5}+\frac{11}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{10}{3} ni \frac{3}{8} ga ko‘paytiring.

$$\frac{17}{3}-\frac{10\times 3}{3\times 8}\times \frac{4}{5}+\frac{11}{5}+\frac{11}{4}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{17}{3}-\frac{10}{8}\times \frac{4}{5}+\frac{11}{5}+\frac{11}{4}$$

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

$$\frac{17}{3}-\frac{5}{4}\times \frac{4}{5}+\frac{11}{5}+\frac{11}{4}$$

\frac{5}{4} va uning teskari kasrini \frac{4}{5} ni qisqartiring.

$$\frac{17}{3}-1+\frac{11}{5}+\frac{11}{4}$$

1 ni \frac{3}{3} kasrga o‘giring.

$$\frac{17}{3}-\frac{3}{3}+\frac{11}{5}+\frac{11}{4}$$

\frac{17}{3} va \frac{3}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{17-3}{3}+\frac{11}{5}+\frac{11}{4}$$

14 olish uchun 17 dan 3 ni ayirish.

$$\frac{14}{3}+\frac{11}{5}+\frac{11}{4}$$

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{14}{3} va \frac{11}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{70}{15}+\frac{33}{15}+\frac{11}{4}$$

\frac{70}{15} va \frac{33}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{70+33}{15}+\frac{11}{4}$$

103 olish uchun 70 va 33'ni qo'shing.

$$\frac{103}{15}+\frac{11}{4}$$

15 va 4 ning eng kichik umumiy karralisi 60 ga teng. \frac{103}{15} va \frac{11}{4} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{412}{60}+\frac{165}{60}$$

\frac{412}{60} va \frac{165}{60} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{412+165}{60}$$

577 olish uchun 412 va 165'ni qo'shing.

$$\frac{577}{60}$$

Omil

$$\frac{577}{2 ^ {2} \cdot 3 \cdot 5} = 9\frac{37}{60} = 9,616666666666667$$