(7)-14/21div(-11/14)*1/2+(-1/3) eching

$$( 7 ) - 1 \frac { 4 } { 21 } \div ( - 1 \frac { 1 } { 14 } ) \times \frac { 1 } { 2 } + ( - \frac { 1 } { 3 } )$$

Baholash

$$\frac{65}{9}\approx 7,222222222$$

Yechim qadamlari

21 hosil qilish uchun 1 va 21 ni ko'paytirish.

$$7-\frac{\frac{21+4}{21}}{-\frac{1\times 14+1}{14}}\times \frac{1}{2}-\frac{1}{3}$$

25 olish uchun 21 va 4'ni qo'shing.

$$7-\frac{\frac{25}{21}}{-\frac{1\times 14+1}{14}}\times \frac{1}{2}-\frac{1}{3}$$

14 hosil qilish uchun 1 va 14 ni ko'paytirish.

$$7-\frac{\frac{25}{21}}{-\frac{14+1}{14}}\times \frac{1}{2}-\frac{1}{3}$$

15 olish uchun 14 va 1'ni qo'shing.

$$7-\frac{\frac{25}{21}}{-\frac{15}{14}}\times \frac{1}{2}-\frac{1}{3}$$

\frac{25}{21} ni -\frac{15}{14} ga bo'lish \frac{25}{21} ga k'paytirish -\frac{15}{14} ga qaytarish.

$$7-\frac{25}{21}\left(-\frac{14}{15}\right)\times \frac{1}{2}-\frac{1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{25}{21} ni -\frac{14}{15} ga ko‘paytiring.

$$7-\frac{25\left(-14\right)}{21\times 15}\times \frac{1}{2}-\frac{1}{3}$$

\frac{25\left(-14\right)}{21\times 15} kasridagi ko‘paytirishlarni bajaring.

$$7-\frac{-350}{315}\times \frac{1}{2}-\frac{1}{3}$$

\frac{-350}{315} ulushini 35 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$7-\left(-\frac{10}{9}\times \frac{1}{2}\right)-\frac{1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{10}{9} ni \frac{1}{2} ga ko‘paytiring.

$$7-\frac{-10}{9\times 2}-\frac{1}{3}$$

\frac{-10}{9\times 2} kasridagi ko‘paytirishlarni bajaring.

$$7-\frac{-10}{18}-\frac{1}{3}$$

\frac{-10}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$7-\left(-\frac{5}{9}\right)-\frac{1}{3}$$

-\frac{5}{9} ning teskarisi \frac{5}{9} ga teng.

$$7+\frac{5}{9}-\frac{1}{3}$$

7 ni \frac{63}{9} kasrga o‘giring.

$$\frac{63}{9}+\frac{5}{9}-\frac{1}{3}$$

\frac{63}{9} va \frac{5}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{63+5}{9}-\frac{1}{3}$$

68 olish uchun 63 va 5'ni qo'shing.

$$\frac{68}{9}-\frac{1}{3}$$

9 va 3 ning eng kichik umumiy karralisi 9 ga teng. \frac{68}{9} va \frac{1}{3} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{68}{9}-\frac{3}{9}$$

\frac{68}{9} va \frac{3}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{68-3}{9}$$

65 olish uchun 68 dan 3 ni ayirish.

$$\frac{65}{9}$$

Omil

$$\frac{5 \cdot 13}{3 ^ {2}} = 7\frac{2}{9} = 7,222222222222222$$