2/8*(1-3/2)-1/2div(-2/5) eching

$$\frac { 2 } { 8 } \times ( 1 - \frac { 3 } { 2 } ) - \frac { 1 } { 2 } \div ( - \frac { 2 } { 5 } )$$

Baholash

$$\frac{9}{8}=1,125$$

Yechim qadamlari

\frac{2}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

1 ni \frac{2}{2} kasrga o‘giring.

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

\frac{2}{2} va \frac{3}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-1 olish uchun 2 dan 3 ni ayirish.

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

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

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

\frac{1\left(-1\right)}{4\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-1}{8}-\frac{\frac{1}{2}}{-\frac{2}{5}}$$

\frac{-1}{8} kasri manfiy belgini olib tashlash bilan -\frac{1}{8} sifatida qayta yozilishi mumkin.

$$-\frac{1}{8}-\frac{\frac{1}{2}}{-\frac{2}{5}}$$

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

$$-\frac{1}{8}-\frac{1}{2}\left(-\frac{5}{2}\right)$$

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

$$-\frac{1}{8}-\frac{1\left(-5\right)}{2\times 2}$$

\frac{1\left(-5\right)}{2\times 2} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{1}{8}-\frac{-5}{4}$$

\frac{-5}{4} kasri manfiy belgini olib tashlash bilan -\frac{5}{4} sifatida qayta yozilishi mumkin.

$$-\frac{1}{8}-\left(-\frac{5}{4}\right)$$

-\frac{5}{4} ning teskarisi \frac{5}{4} ga teng.

$$-\frac{1}{8}+\frac{5}{4}$$

8 va 4 ning eng kichik umumiy karralisi 8 ga teng. -\frac{1}{8} va \frac{5}{4} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{1}{8}+\frac{10}{8}$$

-\frac{1}{8} va \frac{10}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-1+10}{8}$$

9 olish uchun -1 va 10'ni qo'shing.

$$\frac{9}{8}$$

Omil

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1,125$$