1+4/5(-5/2)+2div3/2-2(1/3-frac{3}{4}) eching

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

Baholash

$$\frac{7}{6}\approx 1,166666667$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni -\frac{5}{2} ga ko‘paytiring.

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

\frac{4\left(-5\right)}{5\times 2} kasridagi ko‘paytirishlarni bajaring.

$$1+\frac{-20}{10}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

-2 ni olish uchun -20 ni 10 ga bo‘ling.

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

-1 olish uchun 1 dan 2 ni ayirish.

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

2 ni \frac{3}{2} ga bo'lish 2 ga k'paytirish \frac{3}{2} ga qaytarish.

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

2\times \frac{2}{3} ni yagona kasrga aylantiring.

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

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

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

-1 ni -\frac{3}{3} kasrga o‘giring.

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

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

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

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

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

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{3} va \frac{3}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

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

\frac{4}{12} va \frac{9}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{3}-2\times \frac{4-9}{12}$$

-5 olish uchun 4 dan 9 ni ayirish.

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

2\left(-\frac{5}{12}\right) ni yagona kasrga aylantiring.

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

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

$$\frac{1}{3}-\frac{-10}{12}$$

\frac{-10}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

-\frac{5}{6} ning teskarisi \frac{5}{6} ga teng.

$$\frac{1}{3}+\frac{5}{6}$$

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{5}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{6}+\frac{5}{6}$$

\frac{2}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2+5}{6}$$

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

$$\frac{7}{6}$$

Omil

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1,1666666666666667$$