1/5+2/3:1/5-5/12= eching

$$\frac { 1 } { 5 } + \frac { 2 } { 3 } : \frac { 1 } { 5 } - \frac { 5 } { 12 } =$$

Baholash

$$\frac{187}{60}\approx 3,116666667$$

Yechim qadamlari

\frac{2}{3} ni \frac{1}{5} ga bo'lish \frac{2}{3} ga k'paytirish \frac{1}{5} ga qaytarish.

$$\frac{1}{5}+\frac{2}{3}\times 5-\frac{5}{12}$$

\frac{2}{3}\times 5 ni yagona kasrga aylantiring.

$$\frac{1}{5}+\frac{2\times 5}{3}-\frac{5}{12}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{1}{5}+\frac{10}{3}-\frac{5}{12}$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{1}{5} va \frac{10}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{15}+\frac{50}{15}-\frac{5}{12}$$

\frac{3}{15} va \frac{50}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+50}{15}-\frac{5}{12}$$

53 olish uchun 3 va 50'ni qo'shing.

$$\frac{53}{15}-\frac{5}{12}$$

15 va 12 ning eng kichik umumiy karralisi 60 ga teng. \frac{53}{15} va \frac{5}{12} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{212}{60}-\frac{25}{60}$$

\frac{212}{60} va \frac{25}{60} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{212-25}{60}$$

187 olish uchun 212 dan 25 ni ayirish.

$$\frac{187}{60}$$

Omil

$$\frac{11 \cdot 17}{2 ^ {2} \cdot 3 \cdot 5} = 3\frac{7}{60} = 3,1166666666666667$$