(-7/10)/10-7/4=3(-7/10)-frac{2(frac{-17}{10})}{5} eching

$$\frac { ( - \frac { 7 } { 10 } ) } { 10 } - \frac { 7 } { 4 } = 3 ( - \frac { 7 } { 10 } ) - \frac { 2 ( \frac { - 17 } { 10 } ) } { 5 }$$

Tasdiqlamoq

Yechim qadamlari

Tenglamaning ikkala tarafini 20 ga, 10,4,5 ning eng kichik karralisiga ko‘paytiring.

$$2\left(-\frac{7}{10}\right)-35=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

2\left(-\frac{7}{10}\right) ni yagona kasrga aylantiring.

$$\frac{2\left(-7\right)}{10}-35=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

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

$$\frac{-14}{10}-35=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

\frac{-14}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{7}{5}-35=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

35 ni \frac{175}{5} kasrga o‘giring.

$$-\frac{7}{5}-\frac{175}{5}=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

-\frac{7}{5} va \frac{175}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-7-175}{5}=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

-182 olish uchun -7 dan 175 ni ayirish.

$$-\frac{182}{5}=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

60\left(-\frac{7}{10}\right) ni yagona kasrga aylantiring.

$$-\frac{182}{5}=\frac{60\left(-7\right)}{10}-4\times 2\times \frac{-17}{10}$$

-420 hosil qilish uchun 60 va -7 ni ko'paytirish.

$$-\frac{182}{5}=\frac{-420}{10}-4\times 2\times \frac{-17}{10}$$

-42 ni olish uchun -420 ni 10 ga bo‘ling.

$$-\frac{182}{5}=-42-4\times 2\times \frac{-17}{10}$$

-8 hosil qilish uchun -4 va 2 ni ko'paytirish.

$$-\frac{182}{5}=-42-8\times \frac{-17}{10}$$

\frac{-17}{10} kasri manfiy belgini olib tashlash bilan -\frac{17}{10} sifatida qayta yozilishi mumkin.

$$-\frac{182}{5}=-42-8\left(-\frac{17}{10}\right)$$

-8\left(-\frac{17}{10}\right) ni yagona kasrga aylantiring.

$$-\frac{182}{5}=-42+\frac{-8\left(-17\right)}{10}$$

136 hosil qilish uchun -8 va -17 ni ko'paytirish.

$$-\frac{182}{5}=-42+\frac{136}{10}$$

\frac{136}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{182}{5}=-42+\frac{68}{5}$$

-42 ni -\frac{210}{5} kasrga o‘giring.

$$-\frac{182}{5}=-\frac{210}{5}+\frac{68}{5}$$

-\frac{210}{5} va \frac{68}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{182}{5}=\frac{-210+68}{5}$$

-142 olish uchun -210 va 68'ni qo'shing.

$$-\frac{182}{5}=-\frac{142}{5}$$

-\frac{182}{5} va -\frac{142}{5} ni taqqoslang.

$$\text{false}$$