(-2/3-1/-4+5/-6):(1+1/4)-(-9:3)-(-frac{1}{2}+frac{1}{3})*(-1-5) eching

$$( \frac { - 2 } { 3 } - \frac { 1 } { - 4 } + \frac { 5 } { - 6 } ) : ( 1 + \frac { 1 } { 4 } ) - ( - 9 : 3 ) - ( - \frac { 1 } { 2 } + \frac { 1 } { 3 } ) \cdot ( - 1 - 5 )$$

Baholash

$$1$$

Yechim qadamlari

\frac{-2}{3} kasri manfiy belgini olib tashlash bilan -\frac{2}{3} sifatida qayta yozilishi mumkin.

$$\frac{-\frac{2}{3}-\frac{1}{-4}+\frac{5}{-6}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

\frac{1}{-4} kasri manfiy belgini olib tashlash bilan -\frac{1}{4} sifatida qayta yozilishi mumkin.

$$\frac{-\frac{2}{3}-\left(-\frac{1}{4}\right)+\frac{5}{-6}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

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

$$\frac{-\frac{2}{3}+\frac{1}{4}+\frac{5}{-6}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

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.

$$\frac{-\frac{8}{12}+\frac{3}{12}+\frac{5}{-6}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

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

$$\frac{\frac{-8+3}{12}+\frac{5}{-6}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

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

$$\frac{-\frac{5}{12}+\frac{5}{-6}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

\frac{5}{-6} kasri manfiy belgini olib tashlash bilan -\frac{5}{6} sifatida qayta yozilishi mumkin.

$$\frac{-\frac{5}{12}-\frac{5}{6}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

12 va 6 ning eng kichik umumiy karralisi 12 ga teng. -\frac{5}{12} va \frac{5}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-\frac{5}{12}-\frac{10}{12}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

-\frac{5}{12} va \frac{10}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{-5-10}{12}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

-15 olish uchun -5 dan 10 ni ayirish.

$$\frac{\frac{-15}{12}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

\frac{-15}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{5}{4}}{1+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

1 ni \frac{4}{4} kasrga o‘giring.

$$\frac{-\frac{5}{4}}{\frac{4}{4}+\frac{1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

\frac{4}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-\frac{5}{4}}{\frac{4+1}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{-\frac{5}{4}}{\frac{5}{4}}-\frac{-9}{3}-\left(-\frac{1}{2}+\frac{1}{3}\right)\left(-1-5\right)$$

-1 ni olish uchun -\frac{5}{4} ni \frac{5}{4} ga bo‘ling.

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

-3 ni olish uchun -9 ni 3 ga bo‘ling.

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

-3 ning teskarisi 3 ga teng.

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

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

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

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

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

-\frac{3}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

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

-6 olish uchun -1 dan 5 ni ayirish.

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

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

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

6 hosil qilish uchun -1 va -6 ni ko'paytirish.

$$2-\frac{6}{6}$$

1 ni olish uchun 6 ni 6 ga bo‘ling.

$$2-1$$

1 olish uchun 2 dan 1 ni ayirish.

$$1$$

Omil

$$1$$