1/5+2/3*9*1/9-sqrt{1/3}*sqrt{frac{1}{3}} eching

$$\frac{ 1 }{ 5 } + \frac{ 2 }{ 3 } \times 9 \times \frac{ 1 }{ 9 } - \sqrt{ \frac{ 1 }{ 3 } } \times \sqrt{ \frac{ 1 }{ 3 } }$$

Baholash

$$\frac{8}{15}\approx 0,533333333$$

Yechim qadamlari

\frac{1}{3} hosil qilish uchun \sqrt{\frac{1}{3}} va \sqrt{\frac{1}{3}} ni ko'paytirish.

$$\frac{1}{5}+\frac{2}{3}\times 9\times \frac{1}{9}-\frac{1}{3}$$

\frac{2}{3}\times 9 ni yagona kasrga aylantiring.

$$\frac{1}{5}+\frac{2\times 9}{3}\times \frac{1}{9}-\frac{1}{3}$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$\frac{1}{5}+\frac{18}{3}\times \frac{1}{9}-\frac{1}{3}$$

6 ni olish uchun 18 ni 3 ga bo‘ling.

$$\frac{1}{5}+6\times \frac{1}{9}-\frac{1}{3}$$

\frac{6}{9} hosil qilish uchun 6 va \frac{1}{9} ni ko'paytirish.

$$\frac{1}{5}+\frac{6}{9}-\frac{1}{3}$$

\frac{6}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{1}{5} va \frac{2}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{15}+\frac{10}{15}-\frac{1}{3}$$

\frac{3}{15} va \frac{10}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+10}{15}-\frac{1}{3}$$

13 olish uchun 3 va 10'ni qo'shing.

$$\frac{13}{15}-\frac{1}{3}$$

15 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{13}{15} va \frac{1}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{13}{15}-\frac{5}{15}$$

\frac{13}{15} va \frac{5}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{13-5}{15}$$

8 olish uchun 13 dan 5 ni ayirish.

$$\frac{8}{15}$$

Omil

$$\frac{2 ^ {3}}{3 \cdot 5} = 0,5333333333333333$$