12/5=3/5-3/7*1/6-frac{50}{7}+frac{3}{14} eching

$$\frac { 12 } { 5 } = \frac { 3 } { 5 } - \frac { 3 } { 7 } \times \frac { 1 } { 6 } - \frac { 50 } { 7 } + \frac { 3 } { 14 }$$

Tasdiqlamoq

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{7} ni \frac{1}{6} ga ko‘paytiring.

$$\frac{12}{5}=\frac{3}{5}-\frac{3\times 1}{7\times 6}-\frac{50}{7}+\frac{3}{14}$$

\frac{3\times 1}{7\times 6} kasridagi ko‘paytirishlarni bajaring.

$$\frac{12}{5}=\frac{3}{5}-\frac{3}{42}-\frac{50}{7}+\frac{3}{14}$$

\frac{3}{42} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{12}{5}=\frac{3}{5}-\frac{1}{14}-\frac{50}{7}+\frac{3}{14}$$

5 va 14 ning eng kichik umumiy karralisi 70 ga teng. \frac{3}{5} va \frac{1}{14} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{5}=\frac{42}{70}-\frac{5}{70}-\frac{50}{7}+\frac{3}{14}$$

\frac{42}{70} va \frac{5}{70} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{12}{5}=\frac{42-5}{70}-\frac{50}{7}+\frac{3}{14}$$

37 olish uchun 42 dan 5 ni ayirish.

$$\frac{12}{5}=\frac{37}{70}-\frac{50}{7}+\frac{3}{14}$$

70 va 7 ning eng kichik umumiy karralisi 70 ga teng. \frac{37}{70} va \frac{50}{7} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{5}=\frac{37}{70}-\frac{500}{70}+\frac{3}{14}$$

\frac{37}{70} va \frac{500}{70} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{12}{5}=\frac{37-500}{70}+\frac{3}{14}$$

-463 olish uchun 37 dan 500 ni ayirish.

$$\frac{12}{5}=-\frac{463}{70}+\frac{3}{14}$$

70 va 14 ning eng kichik umumiy karralisi 70 ga teng. -\frac{463}{70} va \frac{3}{14} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{5}=-\frac{463}{70}+\frac{15}{70}$$

-\frac{463}{70} va \frac{15}{70} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{12}{5}=\frac{-463+15}{70}$$

-448 olish uchun -463 va 15'ni qo'shing.

$$\frac{12}{5}=\frac{-448}{70}$$

\frac{-448}{70} ulushini 14 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{12}{5}=-\frac{32}{5}$$

\frac{12}{5} va -\frac{32}{5} ni taqqoslang.

$$\text{false}$$