(65/18-511/15)div[22/7+(12-82/3)div14] eching

$$( 6 \frac { 5 } { 18 } - 5 \frac { 11 } { 15 } ) \div [ 2 \frac { 2 } { 7 } + ( 12 - 8 \frac { 2 } { 3 } ) \div 14 ]$$

Baholash

$$\frac{343}{1590}\approx 0,21572327$$

Yechim qadamlari

108 hosil qilish uchun 6 va 18 ni ko'paytirish.

$$\frac{\frac{108+5}{18}-\frac{5\times 15+11}{15}}{\frac{2\times 7+2}{7}+\frac{12-\frac{8\times 3+2}{3}}{14}}$$

113 olish uchun 108 va 5'ni qo'shing.

$$\frac{\frac{113}{18}-\frac{5\times 15+11}{15}}{\frac{2\times 7+2}{7}+\frac{12-\frac{8\times 3+2}{3}}{14}}$$

75 hosil qilish uchun 5 va 15 ni ko'paytirish.

$$\frac{\frac{113}{18}-\frac{75+11}{15}}{\frac{2\times 7+2}{7}+\frac{12-\frac{8\times 3+2}{3}}{14}}$$

86 olish uchun 75 va 11'ni qo'shing.

$$\frac{\frac{113}{18}-\frac{86}{15}}{\frac{2\times 7+2}{7}+\frac{12-\frac{8\times 3+2}{3}}{14}}$$

18 va 15 ning eng kichik umumiy karralisi 90 ga teng. \frac{113}{18} va \frac{86}{15} ni 90 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{565}{90}-\frac{516}{90}}{\frac{2\times 7+2}{7}+\frac{12-\frac{8\times 3+2}{3}}{14}}$$

\frac{565}{90} va \frac{516}{90} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{565-516}{90}}{\frac{2\times 7+2}{7}+\frac{12-\frac{8\times 3+2}{3}}{14}}$$

49 olish uchun 565 dan 516 ni ayirish.

$$\frac{\frac{49}{90}}{\frac{2\times 7+2}{7}+\frac{12-\frac{8\times 3+2}{3}}{14}}$$

14 hosil qilish uchun 2 va 7 ni ko'paytirish.

$$\frac{\frac{49}{90}}{\frac{14+2}{7}+\frac{12-\frac{8\times 3+2}{3}}{14}}$$

16 olish uchun 14 va 2'ni qo'shing.

$$\frac{\frac{49}{90}}{\frac{16}{7}+\frac{12-\frac{8\times 3+2}{3}}{14}}$$

24 hosil qilish uchun 8 va 3 ni ko'paytirish.

$$\frac{\frac{49}{90}}{\frac{16}{7}+\frac{12-\frac{24+2}{3}}{14}}$$

26 olish uchun 24 va 2'ni qo'shing.

$$\frac{\frac{49}{90}}{\frac{16}{7}+\frac{12-\frac{26}{3}}{14}}$$

12 ni \frac{36}{3} kasrga o‘giring.

$$\frac{\frac{49}{90}}{\frac{16}{7}+\frac{\frac{36}{3}-\frac{26}{3}}{14}}$$

\frac{36}{3} va \frac{26}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{49}{90}}{\frac{16}{7}+\frac{\frac{36-26}{3}}{14}}$$

10 olish uchun 36 dan 26 ni ayirish.

$$\frac{\frac{49}{90}}{\frac{16}{7}+\frac{\frac{10}{3}}{14}}$$

\frac{\frac{10}{3}}{14} ni yagona kasrga aylantiring.

$$\frac{\frac{49}{90}}{\frac{16}{7}+\frac{10}{3\times 14}}$$

42 hosil qilish uchun 3 va 14 ni ko'paytirish.

$$\frac{\frac{49}{90}}{\frac{16}{7}+\frac{10}{42}}$$

\frac{10}{42} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{49}{90}}{\frac{16}{7}+\frac{5}{21}}$$

7 va 21 ning eng kichik umumiy karralisi 21 ga teng. \frac{16}{7} va \frac{5}{21} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{49}{90}}{\frac{48}{21}+\frac{5}{21}}$$

\frac{48}{21} va \frac{5}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{49}{90}}{\frac{48+5}{21}}$$

53 olish uchun 48 va 5'ni qo'shing.

$$\frac{\frac{49}{90}}{\frac{53}{21}}$$

\frac{49}{90} ni \frac{53}{21} ga bo'lish \frac{49}{90} ga k'paytirish \frac{53}{21} ga qaytarish.

$$\frac{49}{90}\times \frac{21}{53}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{49}{90} ni \frac{21}{53} ga ko‘paytiring.

$$\frac{49\times 21}{90\times 53}$$

\frac{49\times 21}{90\times 53} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1029}{4770}$$

\frac{1029}{4770} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{343}{1590}$$

Omil

$$\frac{7 ^ {3}}{2 \cdot 3 \cdot 5 \cdot 53} = 0,21572327044025158$$