1/4+2/3div1/5-3/4*2 eching

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

Baholash

$$\frac{25}{12}\approx 2,083333333$$

Yechim qadamlari

\frac{2}{3} ni \frac{1}{5} ga bo'lish \frac{2}{3} ga k'paytirish \frac{1}{5} ga qaytarish.

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

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

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

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

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

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{4} va \frac{10}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{12}+\frac{40}{12}-\frac{3}{4}\times 2$$

\frac{3}{12} va \frac{40}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+40}{12}-\frac{3}{4}\times 2$$

43 olish uchun 3 va 40'ni qo'shing.

$$\frac{43}{12}-\frac{3}{4}\times 2$$

\frac{3}{4}\times 2 ni yagona kasrga aylantiring.

$$\frac{43}{12}-\frac{3\times 2}{4}$$

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

$$\frac{43}{12}-\frac{6}{4}$$

\frac{6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{43}{12}-\frac{3}{2}$$

12 va 2 ning eng kichik umumiy karralisi 12 ga teng. \frac{43}{12} va \frac{3}{2} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{43}{12}-\frac{18}{12}$$

\frac{43}{12} va \frac{18}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{43-18}{12}$$

25 olish uchun 43 dan 18 ni ayirish.

$$\frac{25}{12}$$

Omil

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2,0833333333333335$$