2/3:[5:(2/4+1)-3(1/2-1/4)] eching

$$\frac { 2 } { 3 } : [ 5 : ( \frac { 2 } { 4 } + 1 ) - 3 ( \frac { 1 } { 2 } - \frac { 1 } { 4 } ) ]$$

Baholash

$$\frac{8}{31}\approx 0,258064516$$

Yechim qadamlari

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

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

1 ni \frac{2}{2} kasrga o‘giring.

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

\frac{1}{2} va \frac{2}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

3 olish uchun 1 va 2'ni qo'shing.

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

5 ni \frac{3}{2} ga bo'lish 5 ga k'paytirish \frac{3}{2} ga qaytarish.

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

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

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

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

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

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.

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

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

$$\frac{\frac{2}{3}}{\frac{10}{3}-3\times \frac{2-1}{4}}$$

1 olish uchun 2 dan 1 ni ayirish.

$$\frac{\frac{2}{3}}{\frac{10}{3}-3\times \frac{1}{4}}$$

\frac{3}{4} hosil qilish uchun 3 va \frac{1}{4} ni ko'paytirish.

$$\frac{\frac{2}{3}}{\frac{10}{3}-\frac{3}{4}}$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{10}{3} va \frac{3}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{2}{3}}{\frac{40}{12}-\frac{9}{12}}$$

\frac{40}{12} va \frac{9}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{2}{3}}{\frac{40-9}{12}}$$

31 olish uchun 40 dan 9 ni ayirish.

$$\frac{\frac{2}{3}}{\frac{31}{12}}$$

\frac{2}{3} ni \frac{31}{12} ga bo'lish \frac{2}{3} ga k'paytirish \frac{31}{12} ga qaytarish.

$$\frac{2}{3}\times \frac{12}{31}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{12}{31} ga ko‘paytiring.

$$\frac{2\times 12}{3\times 31}$$

\frac{2\times 12}{3\times 31} kasridagi ko‘paytirishlarni bajaring.

$$\frac{24}{93}$$

\frac{24}{93} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8}{31}$$

Omil

$$\frac{2 ^ {3}}{31} = 0,25806451612903225$$