22/3-(-5/8)-11/2*8/9 eching

$$2 \frac { 2 } { 3 } - ( - \frac { 5 } { 8 } ) - 1 \frac { 1 } { 2 } \times \frac { 8 } { 9 }$$

Baholash

$$\frac{47}{24}\approx 1,958333333$$

Yechim qadamlari

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{6+2}{3}-\left(-\frac{5}{8}\right)-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

8 olish uchun 6 va 2'ni qo'shing.

$$\frac{8}{3}-\left(-\frac{5}{8}\right)-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

-\frac{5}{8} ning teskarisi \frac{5}{8} ga teng.

$$\frac{8}{3}+\frac{5}{8}-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

3 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{8}{3} va \frac{5}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{64}{24}+\frac{15}{24}-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

\frac{64}{24} va \frac{15}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{64+15}{24}-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

79 olish uchun 64 va 15'ni qo'shing.

$$\frac{79}{24}-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{79}{24}-\frac{2+1}{2}\times \frac{8}{9}$$

3 olish uchun 2 va 1'ni qo'shing.

$$\frac{79}{24}-\frac{3}{2}\times \frac{8}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{2} ni \frac{8}{9} ga ko‘paytiring.

$$\frac{79}{24}-\frac{3\times 8}{2\times 9}$$

\frac{3\times 8}{2\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{79}{24}-\frac{24}{18}$$

\frac{24}{18} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{79}{24}-\frac{4}{3}$$

24 va 3 ning eng kichik umumiy karralisi 24 ga teng. \frac{79}{24} va \frac{4}{3} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{79}{24}-\frac{32}{24}$$

\frac{79}{24} va \frac{32}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{79-32}{24}$$

47 olish uchun 79 dan 32 ni ayirish.

$$\frac{47}{24}$$

Omil

$$\frac{47}{2 ^ {3} \cdot 3} = 1\frac{23}{24} = 1,9583333333333333$$