41/3-25/6+57/12 eching

$$4 \frac { 1 } { 3 } - 2 \frac { 5 } { 6 } + 5 \frac { 7 } { 12 }$$

Baholash

$$\frac{85}{12}\approx 7,083333333$$

Yechim qadamlari

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$\frac{12+1}{3}-\frac{2\times 6+5}{6}+\frac{5\times 12+7}{12}$$

13 olish uchun 12 va 1'ni qo'shing.

$$\frac{13}{3}-\frac{2\times 6+5}{6}+\frac{5\times 12+7}{12}$$

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

$$\frac{13}{3}-\frac{12+5}{6}+\frac{5\times 12+7}{12}$$

17 olish uchun 12 va 5'ni qo'shing.

$$\frac{13}{3}-\frac{17}{6}+\frac{5\times 12+7}{12}$$

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{13}{3} va \frac{17}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{26}{6}-\frac{17}{6}+\frac{5\times 12+7}{12}$$

\frac{26}{6} va \frac{17}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{26-17}{6}+\frac{5\times 12+7}{12}$$

9 olish uchun 26 dan 17 ni ayirish.

$$\frac{9}{6}+\frac{5\times 12+7}{12}$$

\frac{9}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

60 hosil qilish uchun 5 va 12 ni ko'paytirish.

$$\frac{3}{2}+\frac{60+7}{12}$$

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

$$\frac{3}{2}+\frac{67}{12}$$

2 va 12 ning eng kichik umumiy karralisi 12 ga teng. \frac{3}{2} va \frac{67}{12} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{18}{12}+\frac{67}{12}$$

\frac{18}{12} va \frac{67}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{18+67}{12}$$

85 olish uchun 18 va 67'ni qo'shing.

$$\frac{85}{12}$$

Omil

$$\frac{5 \cdot 17}{2 ^ {2} \cdot 3} = 7\frac{1}{12} = 7,083333333333333$$