2/3+1/4*1/3*2/3-frac{1}{2} eching

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

Baholash

$$\frac{2}{9}\approx 0,222222222$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni \frac{1}{3} ga ko‘paytiring.

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

\frac{1\times 1}{4\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{3}+\frac{1}{12}\times \frac{2}{3}-\frac{1}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{12} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{2}{3}+\frac{1\times 2}{12\times 3}-\frac{1}{2}$$

\frac{1\times 2}{12\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{3}+\frac{2}{36}-\frac{1}{2}$$

\frac{2}{36} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}+\frac{1}{18}-\frac{1}{2}$$

3 va 18 ning eng kichik umumiy karralisi 18 ga teng. \frac{2}{3} va \frac{1}{18} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{18}+\frac{1}{18}-\frac{1}{2}$$

\frac{12}{18} va \frac{1}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{12+1}{18}-\frac{1}{2}$$

13 olish uchun 12 va 1'ni qo'shing.

$$\frac{13}{18}-\frac{1}{2}$$

18 va 2 ning eng kichik umumiy karralisi 18 ga teng. \frac{13}{18} va \frac{1}{2} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{13}{18}-\frac{9}{18}$$

\frac{13}{18} va \frac{9}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{13-9}{18}$$

4 olish uchun 13 dan 9 ni ayirish.

$$\frac{4}{18}$$

\frac{4}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{9}$$

Omil

$$\frac{2}{3 ^ {2}} = 0,2222222222222222$$