83/4+(71/2-15/6) eching

$$8 \frac { 3 } { 4 } + ( 7 \frac { 1 } { 2 } - 1 \frac { 5 } { 6 } )$$

Baholash

$$\frac{173}{12}\approx 14,416666667$$

Yechim qadamlari

32 hosil qilish uchun 8 va 4 ni ko'paytirish.

$$\frac{32+3}{4}+\frac{7\times 2+1}{2}-\frac{1\times 6+5}{6}$$

35 olish uchun 32 va 3'ni qo'shing.

$$\frac{35}{4}+\frac{7\times 2+1}{2}-\frac{1\times 6+5}{6}$$

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

$$\frac{35}{4}+\frac{14+1}{2}-\frac{1\times 6+5}{6}$$

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

$$\frac{35}{4}+\frac{15}{2}-\frac{1\times 6+5}{6}$$

4 va 2 ning eng kichik umumiy karralisi 4 ga teng. \frac{35}{4} va \frac{15}{2} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{35}{4}+\frac{30}{4}-\frac{1\times 6+5}{6}$$

\frac{35}{4} va \frac{30}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{35+30}{4}-\frac{1\times 6+5}{6}$$

65 olish uchun 35 va 30'ni qo'shing.

$$\frac{65}{4}-\frac{1\times 6+5}{6}$$

6 hosil qilish uchun 1 va 6 ni ko'paytirish.

$$\frac{65}{4}-\frac{6+5}{6}$$

11 olish uchun 6 va 5'ni qo'shing.

$$\frac{65}{4}-\frac{11}{6}$$

4 va 6 ning eng kichik umumiy karralisi 12 ga teng. \frac{65}{4} va \frac{11}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{195}{12}-\frac{22}{12}$$

\frac{195}{12} va \frac{22}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{195-22}{12}$$

173 olish uchun 195 dan 22 ni ayirish.

$$\frac{173}{12}$$

Omil

$$\frac{173}{2 ^ {2} \cdot 3} = 14\frac{5}{12} = 14,416666666666666$$