-1/2+(-1/6)-(-1/4)-(+2/3) eching

$$- \frac { 1 } { 2 } + ( - \frac { 1 } { 6 } ) - ( - \frac { 1 } { 4 } ) - ( + \frac { 2 } { 3 } )$$

Baholash

$$-\frac{13}{12}\approx -1,083333333$$

Yechim qadamlari

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

$$-\frac{3}{6}-\frac{1}{6}-\left(-\frac{1}{4}\right)-\frac{2}{3}$$

-\frac{3}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-3-1}{6}-\left(-\frac{1}{4}\right)-\frac{2}{3}$$

-4 olish uchun -3 dan 1 ni ayirish.

$$\frac{-4}{6}-\left(-\frac{1}{4}\right)-\frac{2}{3}$$

\frac{-4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{2}{3}-\left(-\frac{1}{4}\right)-\frac{2}{3}$$

-\frac{1}{4} ning teskarisi \frac{1}{4} ga teng.

$$-\frac{2}{3}+\frac{1}{4}-\frac{2}{3}$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. -\frac{2}{3} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{8}{12}+\frac{3}{12}-\frac{2}{3}$$

-\frac{8}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-8+3}{12}-\frac{2}{3}$$

-5 olish uchun -8 va 3'ni qo'shing.

$$-\frac{5}{12}-\frac{2}{3}$$

12 va 3 ning eng kichik umumiy karralisi 12 ga teng. -\frac{5}{12} va \frac{2}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{5}{12}-\frac{8}{12}$$

-\frac{5}{12} va \frac{8}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-5-8}{12}$$

-13 olish uchun -5 dan 8 ni ayirish.

$$-\frac{13}{12}$$

Omil

$$-\frac{13}{12} = -1\frac{1}{12} = -1,0833333333333333$$