-1-{-1/2+3/4+[-2+5/6-(1/3-1)]-frac{1}{6}}-frac{1}{3} eching

$$- 1 - \{ - \frac { 1 } { 2 } + \frac { 3 } { 4 } + [ - 2 + \frac { 5 } { 6 } - ( \frac { 1 } { 3 } - 1 ) ] - \frac { 1 } { 6 } \} - \frac { 1 } { 3 }$$

Baholash

$$-\frac{11}{12}\approx -0,916666667$$

Yechim qadamlari

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

$$-1-\left(-\frac{2}{4}+\frac{3}{4}+-2+\frac{5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

-\frac{2}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-1-\left(\frac{-2+3}{4}+-2+\frac{5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

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

$$-1-\left(\frac{1}{4}+-2+\frac{5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

-2 ni -\frac{12}{6} kasrga o‘giring.

$$-1-\left(\frac{1}{4}+-\frac{12}{6}+\frac{5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

-\frac{12}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-1-\left(\frac{1}{4}+\frac{-12+5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

-7 olish uchun -12 va 5'ni qo'shing.

$$-1-\left(\frac{1}{4}+-\frac{7}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

1 ni \frac{3}{3} kasrga o‘giring.

$$-1-\left(\frac{1}{4}+-\frac{7}{6}-\left(\frac{1}{3}-\frac{3}{3}\right)-\frac{1}{6}\right)-\frac{1}{3}$$

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

$$-1-\left(\frac{1}{4}-\frac{7}{6}-\frac{1-3}{3}-\frac{1}{6}\right)-\frac{1}{3}$$

-2 olish uchun 1 dan 3 ni ayirish.

$$-1-\left(\frac{1}{4}+-\frac{7}{6}-\left(-\frac{2}{3}\right)-\frac{1}{6}\right)-\frac{1}{3}$$

-\frac{2}{3} ning teskarisi \frac{2}{3} ga teng.

$$-1-\left(\frac{1}{4}-\frac{7}{6}+\frac{2}{3}-\frac{1}{6}\right)-\frac{1}{3}$$

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. -\frac{7}{6} va \frac{2}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-1-\left(\frac{1}{4}-\frac{7}{6}+\frac{4}{6}-\frac{1}{6}\right)-\frac{1}{3}$$

-\frac{7}{6} va \frac{4}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-1-\left(\frac{1}{4}+\frac{-7+4}{6}-\frac{1}{6}\right)-\frac{1}{3}$$

-3 olish uchun -7 va 4'ni qo'shing.

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

\frac{-3}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

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

\frac{1}{4} va \frac{2}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-1 olish uchun 1 dan 2 ni ayirish.

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

4 va 6 ning eng kichik umumiy karralisi 12 ga teng. -\frac{1}{4} va \frac{1}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

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

-\frac{3}{12} va \frac{2}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-1-\frac{-3-2}{12}-\frac{1}{3}$$

-5 olish uchun -3 dan 2 ni ayirish.

$$-1-\left(-\frac{5}{12}\right)-\frac{1}{3}$$

-\frac{5}{12} ning teskarisi \frac{5}{12} ga teng.

$$-1+\frac{5}{12}-\frac{1}{3}$$

-1 ni -\frac{12}{12} kasrga o‘giring.

$$-\frac{12}{12}+\frac{5}{12}-\frac{1}{3}$$

-\frac{12}{12} va \frac{5}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-12+5}{12}-\frac{1}{3}$$

-7 olish uchun -12 va 5'ni qo'shing.

$$-\frac{7}{12}-\frac{1}{3}$$

12 va 3 ning eng kichik umumiy karralisi 12 ga teng. -\frac{7}{12} va \frac{1}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{7}{12}-\frac{4}{12}$$

-\frac{7}{12} va \frac{4}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-7-4}{12}$$

-11 olish uchun -7 dan 4 ni ayirish.

$$-\frac{11}{12}$$

Omil

$$-\frac{11}{12} = -0,9166666666666666$$