(-1/2)+(+7/3)+(-4/15)+(-2/5)= eching

$$( - \frac { 1 } { 2 } ) + ( + \frac { 7 } { 3 } ) + ( - \frac { 4 } { 15 } ) + ( - \frac { 2 } { 5 } ) =$$

Baholash

$$\frac{7}{6}\approx 1,166666667$$

Yechim qadamlari

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. -\frac{1}{2} va \frac{7}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{3}{6}+\frac{14}{6}-\frac{4}{15}-\frac{2}{5}$$

-\frac{3}{6} va \frac{14}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-3+14}{6}-\frac{4}{15}-\frac{2}{5}$$

11 olish uchun -3 va 14'ni qo'shing.

$$\frac{11}{6}-\frac{4}{15}-\frac{2}{5}$$

6 va 15 ning eng kichik umumiy karralisi 30 ga teng. \frac{11}{6} va \frac{4}{15} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{55}{30}-\frac{8}{30}-\frac{2}{5}$$

\frac{55}{30} va \frac{8}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{55-8}{30}-\frac{2}{5}$$

47 olish uchun 55 dan 8 ni ayirish.

$$\frac{47}{30}-\frac{2}{5}$$

30 va 5 ning eng kichik umumiy karralisi 30 ga teng. \frac{47}{30} va \frac{2}{5} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{47}{30}-\frac{12}{30}$$

\frac{47}{30} va \frac{12}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{47-12}{30}$$

35 olish uchun 47 dan 12 ni ayirish.

$$\frac{35}{30}$$

\frac{35}{30} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Omil

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1,1666666666666667$$