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

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

Baholash

$$\frac{5}{8}=0,625$$

Yechim qadamlari

1 ni \frac{4}{4} kasrga o‘giring.

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

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

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

1 olish uchun 4 dan 3 ni ayirish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{1}{4} ga ko‘paytiring.

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

\frac{1\times 1}{2\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{8}-2\left(\frac{3}{4}-1\right)$$

1 ni \frac{4}{4} kasrga o‘giring.

$$\frac{1}{8}-2\left(\frac{3}{4}-\frac{4}{4}\right)$$

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

$$\frac{1}{8}-2\times \frac{3-4}{4}$$

-1 olish uchun 3 dan 4 ni ayirish.

$$\frac{1}{8}-2\left(-\frac{1}{4}\right)$$

2\left(-\frac{1}{4}\right) ni yagona kasrga aylantiring.

$$\frac{1}{8}-\frac{2\left(-1\right)}{4}$$

-2 hosil qilish uchun 2 va -1 ni ko'paytirish.

$$\frac{1}{8}-\frac{-2}{4}$$

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

$$\frac{1}{8}-\left(-\frac{1}{2}\right)$$

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

$$\frac{1}{8}+\frac{1}{2}$$

8 va 2 ning eng kichik umumiy karralisi 8 ga teng. \frac{1}{8} va \frac{1}{2} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{8}+\frac{4}{8}$$

\frac{1}{8} va \frac{4}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+4}{8}$$

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

$$\frac{5}{8}$$

Omil

$$\frac{5}{2 ^ {3}} = 0,625$$