[1/2+2/3]-[1/2-2/3] eching

$$[ \frac { 1 } { 2 } + \frac { 2 } { 3 } ] - [ \frac { 1 } { 2 } - \frac { 2 } { 3 } ]$$

Baholash

$$\frac{4}{3}\approx 1,333333333$$

Yechim qadamlari

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{2}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{6}+\frac{4}{6}-\left(\frac{1}{2}-\frac{2}{3}\right)$$

\frac{3}{6} va \frac{4}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+4}{6}-\left(\frac{1}{2}-\frac{2}{3}\right)$$

7 olish uchun 3 va 4'ni qo'shing.

$$\frac{7}{6}-\left(\frac{1}{2}-\frac{2}{3}\right)$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{2}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{7}{6}-\left(\frac{3}{6}-\frac{4}{6}\right)$$

\frac{3}{6} va \frac{4}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{7}{6}-\frac{3-4}{6}$$

-1 olish uchun 3 dan 4 ni ayirish.

$$\frac{7}{6}-\left(-\frac{1}{6}\right)$$

-\frac{1}{6} ning teskarisi \frac{1}{6} ga teng.

$$\frac{7}{6}+\frac{1}{6}$$

\frac{7}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7+1}{6}$$

8 olish uchun 7 va 1'ni qo'shing.

$$\frac{8}{6}$$

\frac{8}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{3}$$

Omil

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1,3333333333333333$$