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

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

Tasdiqlamoq

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.

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

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

$$-\frac{473}{200}=\frac{391}{500}+\frac{157}{25}$$

500 va 25 ning eng kichik umumiy karralisi 500 ga teng. \frac{391}{500} va \frac{157}{25} ni 500 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{473}{200}=\frac{391}{500}+\frac{3140}{500}$$

\frac{391}{500} va \frac{3140}{500} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{473}{200}=\frac{391+3140}{500}$$

3531 olish uchun 391 va 3140'ni qo'shing.

$$-\frac{473}{200}=\frac{3531}{500}$$

200 va 500 ning eng kichik umumiy karralisi 1000 ga teng. -\frac{473}{200} va \frac{3531}{500} ni 1000 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{2365}{1000}=\frac{7062}{1000}$$

-\frac{2365}{1000} va \frac{7062}{1000} ni taqqoslang.

$$\text{false}$$