1/5div2/5(1/2-1/4)-2frac{2}{3}div(-frac{2}{3})*(frac{1}{2}) eching

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

Baholash

$$\frac{17}{8}=2,125$$

Yechim qadamlari

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

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

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

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

Surat va maxrajdagi ikkala 5 ni qisqartiring.

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

2 va 4 ning eng kichik umumiy karralisi 4 ga teng. \frac{1}{2} va \frac{1}{4} ni 4 maxraj bilan kasrlarga aylantirib oling.

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

\frac{2}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

1 olish uchun 2 dan 1 ni ayirish.

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

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

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

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

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

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

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

Surat va maxrajdagi ikkala 3 ni qisqartiring.

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

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{1}{8}-\frac{2+6}{-2}\times \frac{1}{2}$$

8 olish uchun 2 va 6'ni qo'shing.

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

-4 ni olish uchun 8 ni -2 ga bo‘ling.

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

\frac{-4}{2} hosil qilish uchun -4 va \frac{1}{2} ni ko'paytirish.

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

-2 ni olish uchun -4 ni 2 ga bo‘ling.

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

-2 ning teskarisi 2 ga teng.

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

2 ni \frac{16}{8} kasrga o‘giring.

$$\frac{1}{8}+\frac{16}{8}$$

\frac{1}{8} va \frac{16}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+16}{8}$$

17 olish uchun 1 va 16'ni qo'shing.

$$\frac{17}{8}$$

Omil

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2,125$$