(22/5+12/3)-27/30 eching

$$( 2 \frac { 2 } { 5 } + 1 \frac { 2 } { 3 } ) - 2 \frac { 7 } { 30 }$$

Baholash

$$\frac{11}{6}\approx 1,833333333$$

Yechim qadamlari

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

$$\frac{10+2}{5}+\frac{1\times 3+2}{3}-\frac{2\times 30+7}{30}$$

12 olish uchun 10 va 2'ni qo'shing.

$$\frac{12}{5}+\frac{1\times 3+2}{3}-\frac{2\times 30+7}{30}$$

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{12}{5}+\frac{3+2}{3}-\frac{2\times 30+7}{30}$$

5 olish uchun 3 va 2'ni qo'shing.

$$\frac{12}{5}+\frac{5}{3}-\frac{2\times 30+7}{30}$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{12}{5} va \frac{5}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{36}{15}+\frac{25}{15}-\frac{2\times 30+7}{30}$$

\frac{36}{15} va \frac{25}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{36+25}{15}-\frac{2\times 30+7}{30}$$

61 olish uchun 36 va 25'ni qo'shing.

$$\frac{61}{15}-\frac{2\times 30+7}{30}$$

60 hosil qilish uchun 2 va 30 ni ko'paytirish.

$$\frac{61}{15}-\frac{60+7}{30}$$

67 olish uchun 60 va 7'ni qo'shing.

$$\frac{61}{15}-\frac{67}{30}$$

15 va 30 ning eng kichik umumiy karralisi 30 ga teng. \frac{61}{15} va \frac{67}{30} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{122}{30}-\frac{67}{30}$$

\frac{122}{30} va \frac{67}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{122-67}{30}$$

55 olish uchun 122 dan 67 ni ayirish.

$$\frac{55}{30}$$

\frac{55}{30} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{6}$$

Omil

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1,8333333333333333$$