-2(-3+5(-3+3/4))-5(4/3-2(5*1/2) eching

$$-2(-3+5(-3+ \frac{ 3 }{ 4 } ))-5( \frac{ 4 }{ 3 } -2(5 \times \frac{ 1 }{ 2 } )$$

Baholash

$$\frac{281}{6}\approx 46,833333333$$

Yechim qadamlari

-3 ni -\frac{12}{4} kasrga o‘giring.

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

-\frac{12}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

-9 olish uchun -12 va 3'ni qo'shing.

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

5\left(-\frac{9}{4}\right) ni yagona kasrga aylantiring.

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

-45 hosil qilish uchun 5 va -9 ni ko'paytirish.

$$-2\left(-3+\frac{-45}{4}\right)-5\left(\frac{4}{3}-2\times 5\times \frac{1}{2}\right)$$

\frac{-45}{4} kasri manfiy belgini olib tashlash bilan -\frac{45}{4} sifatida qayta yozilishi mumkin.

$$-2\left(-3-\frac{45}{4}\right)-5\left(\frac{4}{3}-2\times 5\times \frac{1}{2}\right)$$

-3 ni -\frac{12}{4} kasrga o‘giring.

$$-2\left(-\frac{12}{4}-\frac{45}{4}\right)-5\left(\frac{4}{3}-2\times 5\times \frac{1}{2}\right)$$

-\frac{12}{4} va \frac{45}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-2\times \frac{-12-45}{4}-5\left(\frac{4}{3}-2\times 5\times \frac{1}{2}\right)$$

-57 olish uchun -12 dan 45 ni ayirish.

$$-2\left(-\frac{57}{4}\right)-5\left(\frac{4}{3}-2\times 5\times \frac{1}{2}\right)$$

-2\left(-\frac{57}{4}\right) ni yagona kasrga aylantiring.

$$\frac{-2\left(-57\right)}{4}-5\left(\frac{4}{3}-2\times 5\times \frac{1}{2}\right)$$

114 hosil qilish uchun -2 va -57 ni ko'paytirish.

$$\frac{114}{4}-5\left(\frac{4}{3}-2\times 5\times \frac{1}{2}\right)$$

\frac{114}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{57}{2}-5\left(\frac{4}{3}-2\times 5\times \frac{1}{2}\right)$$

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

$$\frac{57}{2}-5\left(\frac{4}{3}-10\times \frac{1}{2}\right)$$

\frac{10}{2} hosil qilish uchun 10 va \frac{1}{2} ni ko'paytirish.

$$\frac{57}{2}-5\left(\frac{4}{3}-\frac{10}{2}\right)$$

5 ni olish uchun 10 ni 2 ga bo‘ling.

$$\frac{57}{2}-5\left(\frac{4}{3}-5\right)$$

5 ni \frac{15}{3} kasrga o‘giring.

$$\frac{57}{2}-5\left(\frac{4}{3}-\frac{15}{3}\right)$$

\frac{4}{3} va \frac{15}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{57}{2}-5\times \frac{4-15}{3}$$

-11 olish uchun 4 dan 15 ni ayirish.

$$\frac{57}{2}-5\left(-\frac{11}{3}\right)$$

5\left(-\frac{11}{3}\right) ni yagona kasrga aylantiring.

$$\frac{57}{2}-\frac{5\left(-11\right)}{3}$$

-55 hosil qilish uchun 5 va -11 ni ko'paytirish.

$$\frac{57}{2}-\frac{-55}{3}$$

\frac{-55}{3} kasri manfiy belgini olib tashlash bilan -\frac{55}{3} sifatida qayta yozilishi mumkin.

$$\frac{57}{2}-\left(-\frac{55}{3}\right)$$

-\frac{55}{3} ning teskarisi \frac{55}{3} ga teng.

$$\frac{57}{2}+\frac{55}{3}$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{57}{2} va \frac{55}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{171}{6}+\frac{110}{6}$$

\frac{171}{6} va \frac{110}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{171+110}{6}$$

281 olish uchun 171 va 110'ni qo'shing.

$$\frac{281}{6}$$

Omil

$$\frac{281}{2 \cdot 3} = 46\frac{5}{6} = 46,833333333333336$$