2/3*(51/6-43/8)-11/18 eching

$$\frac { 2 } { 3 } \times ( 5 \frac { 1 } { 6 } - 4 \frac { 3 } { 8 } ) - 1 \frac { 1 } { 18 }$$

Baholash

$$-\frac{19}{36}\approx -0,527777778$$

Yechim qadamlari

30 hosil qilish uchun 5 va 6 ni ko'paytirish.

$$\frac{2}{3}\left(\frac{30+1}{6}-\frac{4\times 8+3}{8}\right)-\frac{1\times 18+1}{18}$$

31 olish uchun 30 va 1'ni qo'shing.

$$\frac{2}{3}\left(\frac{31}{6}-\frac{4\times 8+3}{8}\right)-\frac{1\times 18+1}{18}$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$\frac{2}{3}\left(\frac{31}{6}-\frac{32+3}{8}\right)-\frac{1\times 18+1}{18}$$

35 olish uchun 32 va 3'ni qo'shing.

$$\frac{2}{3}\left(\frac{31}{6}-\frac{35}{8}\right)-\frac{1\times 18+1}{18}$$

6 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{31}{6} va \frac{35}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{3}\left(\frac{124}{24}-\frac{105}{24}\right)-\frac{1\times 18+1}{18}$$

\frac{124}{24} va \frac{105}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2}{3}\times \frac{124-105}{24}-\frac{1\times 18+1}{18}$$

19 olish uchun 124 dan 105 ni ayirish.

$$\frac{2}{3}\times \frac{19}{24}-\frac{1\times 18+1}{18}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{19}{24} ga ko‘paytiring.

$$\frac{2\times 19}{3\times 24}-\frac{1\times 18+1}{18}$$

\frac{2\times 19}{3\times 24} kasridagi ko‘paytirishlarni bajaring.

$$\frac{38}{72}-\frac{1\times 18+1}{18}$$

\frac{38}{72} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{19}{36}-\frac{1\times 18+1}{18}$$

18 hosil qilish uchun 1 va 18 ni ko'paytirish.

$$\frac{19}{36}-\frac{18+1}{18}$$

19 olish uchun 18 va 1'ni qo'shing.

$$\frac{19}{36}-\frac{19}{18}$$

36 va 18 ning eng kichik umumiy karralisi 36 ga teng. \frac{19}{36} va \frac{19}{18} ni 36 maxraj bilan kasrlarga aylantirib oling.

$$\frac{19}{36}-\frac{38}{36}$$

\frac{19}{36} va \frac{38}{36} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{19-38}{36}$$

-19 olish uchun 19 dan 38 ni ayirish.

$$-\frac{19}{36}$$

Omil

$$-\frac{19}{36} = -0,5277777777777778$$