-1/10+7/8-314/100-782/1000+frac{628}{100} eching

$$- \frac{ 1 }{ 10 } + \frac{ 7 }{ 8 } - \frac{ 314 }{ 100 } - \frac{ 782 }{ 1000 } + \frac{ 628 }{ 100 }$$

Baholash

$$\frac{3133}{1000}=3,133$$

Yechim qadamlari

10 va 8 ning eng kichik umumiy karralisi 40 ga teng. -\frac{1}{10} va \frac{7}{8} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{4}{40}+\frac{35}{40}-\frac{314}{100}-\frac{782}{1000}+\frac{628}{100}$$

-\frac{4}{40} va \frac{35}{40} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-4+35}{40}-\frac{314}{100}-\frac{782}{1000}+\frac{628}{100}$$

31 olish uchun -4 va 35'ni qo'shing.

$$\frac{31}{40}-\frac{314}{100}-\frac{782}{1000}+\frac{628}{100}$$

\frac{314}{100} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{31}{40}-\frac{157}{50}-\frac{782}{1000}+\frac{628}{100}$$

40 va 50 ning eng kichik umumiy karralisi 200 ga teng. \frac{31}{40} va \frac{157}{50} ni 200 maxraj bilan kasrlarga aylantirib oling.

$$\frac{155}{200}-\frac{628}{200}-\frac{782}{1000}+\frac{628}{100}$$

\frac{155}{200} va \frac{628}{200} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{155-628}{200}-\frac{782}{1000}+\frac{628}{100}$$

-473 olish uchun 155 dan 628 ni ayirish.

$$-\frac{473}{200}-\frac{782}{1000}+\frac{628}{100}$$

\frac{782}{1000} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{473}{200}-\frac{391}{500}+\frac{628}{100}$$

200 va 500 ning eng kichik umumiy karralisi 1000 ga teng. -\frac{473}{200} va \frac{391}{500} ni 1000 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{2365}{1000}-\frac{782}{1000}+\frac{628}{100}$$

-\frac{2365}{1000} va \frac{782}{1000} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-2365-782}{1000}+\frac{628}{100}$$

-3147 olish uchun -2365 dan 782 ni ayirish.

$$-\frac{3147}{1000}+\frac{628}{100}$$

\frac{628}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{3147}{1000}+\frac{157}{25}$$

1000 va 25 ning eng kichik umumiy karralisi 1000 ga teng. -\frac{3147}{1000} va \frac{157}{25} ni 1000 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{3147}{1000}+\frac{6280}{1000}$$

-\frac{3147}{1000} va \frac{6280}{1000} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-3147+6280}{1000}$$

3133 olish uchun -3147 va 6280'ni qo'shing.

$$\frac{3133}{1000}$$

Omil

$$\frac{13 \cdot 241}{2 ^ {3} \cdot 5 ^ {3}} = 3\frac{133}{1000} = 3,133$$