12((1/3-1/2)(1/18-1/2))= eching

$$12 ( ( \frac { 1 } { 3 } - \frac { 1 } { 2 } ) ( \frac { 1 } { 18 } - \frac { 1 } { 2 } ) ) =$$

Baholash

$$\frac{8}{9}\approx 0,888888889$$

Yechim qadamlari

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$12\left(\frac{2}{6}-\frac{3}{6}\right)\left(\frac{1}{18}-\frac{1}{2}\right)$$

\frac{2}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$12\times \frac{2-3}{6}\left(\frac{1}{18}-\frac{1}{2}\right)$$

-1 olish uchun 2 dan 3 ni ayirish.

$$12\left(-\frac{1}{6}\right)\left(\frac{1}{18}-\frac{1}{2}\right)$$

12\left(-\frac{1}{6}\right) ni yagona kasrga aylantiring.

$$\frac{12\left(-1\right)}{6}\left(\frac{1}{18}-\frac{1}{2}\right)$$

-12 hosil qilish uchun 12 va -1 ni ko'paytirish.

$$\frac{-12}{6}\left(\frac{1}{18}-\frac{1}{2}\right)$$

-2 ni olish uchun -12 ni 6 ga bo‘ling.

$$-2\left(\frac{1}{18}-\frac{1}{2}\right)$$

18 va 2 ning eng kichik umumiy karralisi 18 ga teng. \frac{1}{18} va \frac{1}{2} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$-2\left(\frac{1}{18}-\frac{9}{18}\right)$$

\frac{1}{18} va \frac{9}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-2\times \frac{1-9}{18}$$

-8 olish uchun 1 dan 9 ni ayirish.

$$-2\times \frac{-8}{18}$$

\frac{-8}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-2\left(-\frac{4}{9}\right)$$

-2\left(-\frac{4}{9}\right) ni yagona kasrga aylantiring.

$$\frac{-2\left(-4\right)}{9}$$

8 hosil qilish uchun -2 va -4 ni ko'paytirish.

$$\frac{8}{9}$$

Omil

$$\frac{2 ^ {3}}{3 ^ {2}} = 0,8888888888888888$$