21/3+(75/6-37/8*2) eching

$$2 \frac { 1 } { 3 } + ( 7 \frac { 5 } { 6 } - 3 \frac { 7 } { 8 } \times 2 )$$

Baholash

$$\frac{29}{12}\approx 2,416666667$$

Yechim qadamlari

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{6+1}{3}+\frac{7\times 6+5}{6}-\frac{3\times 8+7}{8}\times 2$$

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

$$\frac{7}{3}+\frac{7\times 6+5}{6}-\frac{3\times 8+7}{8}\times 2$$

42 hosil qilish uchun 7 va 6 ni ko'paytirish.

$$\frac{7}{3}+\frac{42+5}{6}-\frac{3\times 8+7}{8}\times 2$$

47 olish uchun 42 va 5'ni qo'shing.

$$\frac{7}{3}+\frac{47}{6}-\frac{3\times 8+7}{8}\times 2$$

24 hosil qilish uchun 3 va 8 ni ko'paytirish.

$$\frac{7}{3}+\frac{47}{6}-\frac{24+7}{8}\times 2$$

31 olish uchun 24 va 7'ni qo'shing.

$$\frac{7}{3}+\frac{47}{6}-\frac{31}{8}\times 2$$

\frac{31}{8}\times 2 ni yagona kasrga aylantiring.

$$\frac{7}{3}+\frac{47}{6}-\frac{31\times 2}{8}$$

62 hosil qilish uchun 31 va 2 ni ko'paytirish.

$$\frac{7}{3}+\frac{47}{6}-\frac{62}{8}$$

\frac{62}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{3}+\frac{47}{6}-\frac{31}{4}$$

6 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{47}{6} va \frac{31}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{7}{3}+\frac{94}{12}-\frac{93}{12}$$

\frac{94}{12} va \frac{93}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{7}{3}+\frac{94-93}{12}$$

1 olish uchun 94 dan 93 ni ayirish.

$$\frac{7}{3}+\frac{1}{12}$$

3 va 12 ning eng kichik umumiy karralisi 12 ga teng. \frac{7}{3} va \frac{1}{12} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{28}{12}+\frac{1}{12}$$

\frac{28}{12} va \frac{1}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{28+1}{12}$$

29 olish uchun 28 va 1'ni qo'shing.

$$\frac{29}{12}$$

Omil

$$\frac{29}{2 ^ {2} \cdot 3} = 2\frac{5}{12} = 2,4166666666666665$$