-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

$$-\frac{35}{12}\approx -2,916666667$$

Yechim qadamlari

1 ni olish uchun 1 ni 1 ga bo‘ling.

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

-3 ni -\frac{6}{2} kasrga o‘giring.

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

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

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

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

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

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

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

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

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

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

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

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

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

1 ni \frac{2}{2} kasrga o‘giring.

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

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

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

-1 olish uchun 1 dan 2 ni ayirish.

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

-3\left(-\frac{1}{2}\right) ni yagona kasrga aylantiring.

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

3 hosil qilish uchun -3 va -1 ni ko'paytirish.

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

1 ni \frac{2}{2} kasrga o‘giring.

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

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

$$-\frac{5}{3}-\frac{1}{2}\times \frac{3+2}{2}$$

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

$$-\frac{5}{3}-\frac{1}{2}\times \frac{5}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{5}{2} ga ko‘paytiring.

$$-\frac{5}{3}-\frac{1\times 5}{2\times 2}$$

\frac{1\times 5}{2\times 2} kasridagi ko‘paytirishlarni bajaring.

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

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

$$-\frac{20}{12}-\frac{15}{12}$$

-\frac{20}{12} va \frac{15}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-20-15}{12}$$

-35 olish uchun -20 dan 15 ni ayirish.

$$-\frac{35}{12}$$

Omil

$$-\frac{35}{12} = -2\frac{11}{12} = -2,9166666666666665$$