105/6-71/2+1/4 eching

$$10 \frac { 5 } { 6 } - 7 \frac { 1 } { 2 } + \frac { 1 } { 4 }$$

Baholash

$$\frac{43}{12}\approx 3,583333333$$

Yechim qadamlari

60 hosil qilish uchun 10 va 6 ni ko'paytirish.

$$\frac{60+5}{6}-\frac{7\times 2+1}{2}+\frac{1}{4}$$

65 olish uchun 60 va 5'ni qo'shing.

$$\frac{65}{6}-\frac{7\times 2+1}{2}+\frac{1}{4}$$

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$\frac{65}{6}-\frac{14+1}{2}+\frac{1}{4}$$

15 olish uchun 14 va 1'ni qo'shing.

$$\frac{65}{6}-\frac{15}{2}+\frac{1}{4}$$

6 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{65}{6} va \frac{15}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{65}{6}-\frac{45}{6}+\frac{1}{4}$$

\frac{65}{6} va \frac{45}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{65-45}{6}+\frac{1}{4}$$

20 olish uchun 65 dan 45 ni ayirish.

$$\frac{20}{6}+\frac{1}{4}$$

\frac{20}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{10}{3}+\frac{1}{4}$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{10}{3} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{40}{12}+\frac{3}{12}$$

\frac{40}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{40+3}{12}$$

43 olish uchun 40 va 3'ni qo'shing.

$$\frac{43}{12}$$

Omil

$$\frac{43}{2 ^ {2} \cdot 3} = 3\frac{7}{12} = 3,5833333333333335$$