-5/6:(-3+7/2)-1/2*[-3*(-(1/2-frac{1}{1})+1] eching

$$- \frac { 5 } { 6 } : ( - 3 + \frac { 7 } { 2 } ) - \frac { 1 } { 2 } \cdot [ - 3 \cdot ( - ( \frac { 1 } { 2 } - \frac { 1 } { 1 } ) + 1 ]$$

Baholash

$$\frac{7}{12}\approx 0,583333333$$

Yechim qadamlari

1 ni olish uchun 1 ni 1 ga bo‘ling.

$$\frac{-\frac{5}{6}}{-3+\frac{7}{2}}-\frac{1}{2}\left(-3\right)\left(-\left(\frac{1}{2}-1\right)+1\right)$$

-3 ni -\frac{6}{2} kasrga o‘giring.

$$\frac{-\frac{5}{6}}{-\frac{6}{2}+\frac{7}{2}}-\frac{1}{2}\left(-3\right)\left(-\left(\frac{1}{2}-1\right)+1\right)$$

-\frac{6}{2} va \frac{7}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-\frac{5}{6}}{\frac{-6+7}{2}}-\frac{1}{2}\left(-3\right)\left(-\left(\frac{1}{2}-1\right)+1\right)$$

1 olish uchun -6 va 7'ni qo'shing.

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

-\frac{5}{6} ni \frac{1}{2} ga bo'lish -\frac{5}{6} ga k'paytirish \frac{1}{2} ga qaytarish.

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

-\frac{5}{6}\times 2 ni yagona kasrga aylantiring.

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

-10 hosil qilish uchun -5 va 2 ni ko'paytirish.

$$\frac{-10}{6}-\frac{1}{2}\left(-3\right)\left(-\left(\frac{1}{2}-1\right)+1\right)$$

\frac{-10}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{-3}{2} hosil qilish uchun \frac{1}{2} va -3 ni ko'paytirish.

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

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

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

1 ni \frac{2}{2} kasrga o‘giring.

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

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

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

-1 olish uchun 1 dan 2 ni ayirish.

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

-\frac{1}{2} ning teskarisi \frac{1}{2} ga teng.

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

1 ni \frac{2}{2} kasrga o‘giring.

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

\frac{1}{2} va \frac{2}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

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

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

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

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

$$-\frac{5}{3}-\frac{-9}{4}$$

\frac{-9}{4} kasri manfiy belgini olib tashlash bilan -\frac{9}{4} sifatida qayta yozilishi mumkin.

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

-\frac{9}{4} ning teskarisi \frac{9}{4} ga teng.

$$-\frac{5}{3}+\frac{9}{4}$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. -\frac{5}{3} va \frac{9}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{20}{12}+\frac{27}{12}$$

-\frac{20}{12} va \frac{27}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-20+27}{12}$$

7 olish uchun -20 va 27'ni qo'shing.

$$\frac{7}{12}$$

Omil

$$\frac{7}{2 ^ {2} \cdot 3} = 0,5833333333333334$$