55/6-92/3+173/4-31/2 eching

$$5 \frac { 5 } { 6 } - 9 \frac { 2 } { 3 } + 17 \frac { 3 } { 4 } - 3 \frac { 1 } { 2 }$$

Baholash

$$\frac{125}{12}\approx 10,416666667$$

Yechim qadamlari

30 hosil qilish uchun 5 va 6 ni ko'paytirish.

$$\frac{30+5}{6}-\frac{9\times 3+2}{3}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

35 olish uchun 30 va 5'ni qo'shing.

$$\frac{35}{6}-\frac{9\times 3+2}{3}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

27 hosil qilish uchun 9 va 3 ni ko'paytirish.

$$\frac{35}{6}-\frac{27+2}{3}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

29 olish uchun 27 va 2'ni qo'shing.

$$\frac{35}{6}-\frac{29}{3}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{35}{6} va \frac{29}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{35}{6}-\frac{58}{6}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

\frac{35}{6} va \frac{58}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{35-58}{6}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

-23 olish uchun 35 dan 58 ni ayirish.

$$-\frac{23}{6}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

68 hosil qilish uchun 17 va 4 ni ko'paytirish.

$$-\frac{23}{6}+\frac{68+3}{4}-\frac{3\times 2+1}{2}$$

71 olish uchun 68 va 3'ni qo'shing.

$$-\frac{23}{6}+\frac{71}{4}-\frac{3\times 2+1}{2}$$

6 va 4 ning eng kichik umumiy karralisi 12 ga teng. -\frac{23}{6} va \frac{71}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{46}{12}+\frac{213}{12}-\frac{3\times 2+1}{2}$$

-\frac{46}{12} va \frac{213}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-46+213}{12}-\frac{3\times 2+1}{2}$$

167 olish uchun -46 va 213'ni qo'shing.

$$\frac{167}{12}-\frac{3\times 2+1}{2}$$

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

$$\frac{167}{12}-\frac{6+1}{2}$$

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

$$\frac{167}{12}-\frac{7}{2}$$

12 va 2 ning eng kichik umumiy karralisi 12 ga teng. \frac{167}{12} va \frac{7}{2} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{167}{12}-\frac{42}{12}$$

\frac{167}{12} va \frac{42}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{167-42}{12}$$

125 olish uchun 167 dan 42 ni ayirish.

$$\frac{125}{12}$$

Omil

$$\frac{5 ^ {3}}{2 ^ {2} \cdot 3} = 10\frac{5}{12} = 10,416666666666666$$