(+1/2)+(+2/3)-(-11/6) eching

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

Baholash

$$\frac{7}{3}\approx 2,333333333$$

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.

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

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

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

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

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

6 hosil qilish uchun 1 va 6 ni ko'paytirish.

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

7 olish uchun 6 va 1'ni qo'shing.

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

-\frac{7}{6} ning teskarisi \frac{7}{6} ga teng.

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

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

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

14 olish uchun 7 va 7'ni qo'shing.

$$\frac{14}{6}$$

\frac{14}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{3}$$

Omil

$$\frac{7}{3} = 2\frac{1}{3} = 2,3333333333333335$$