x/2frac{1{2}*0.4+22/3:12/3}=1frac{1/3+frac{3}{4}}{2-frac{3}{4}} eching

$$\frac { x } { 2 \frac { 1 } { 2 } \cdot 0.4 + 2 \frac { 2 } { 3 } : 1 \frac { 2 } { 3 } } = \frac { 1 \frac { 1 } { 3 } + \frac { 3 } { 4 } } { 2 - \frac { 3 } { 4 } }$$

x uchun yechish

$$x = \frac{13}{3} = 4\frac{1}{3} \approx 4,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$\frac{x}{\frac{4+1}{2}\times 0,4+\frac{\frac{2\times 3+2}{3}}{\frac{1\times 3+2}{3}}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{x}{\frac{5}{2}\times 0,4+\frac{\frac{2\times 3+2}{3}}{\frac{1\times 3+2}{3}}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

0,4 o‘nlik raqamni uning \frac{4}{10} kasrga o‘giring. \frac{4}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{x}{\frac{5}{2}\times \frac{2}{5}+\frac{\frac{2\times 3+2}{3}}{\frac{1\times 3+2}{3}}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

\frac{5}{2} va uning teskari kasrini \frac{2}{5} ni qisqartiring.

$$\frac{x}{1+\frac{\frac{2\times 3+2}{3}}{\frac{1\times 3+2}{3}}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

\frac{2\times 3+2}{3} ni \frac{1\times 3+2}{3} ga bo'lish \frac{2\times 3+2}{3} ga k'paytirish \frac{1\times 3+2}{3} ga qaytarish.

$$\frac{x}{1+\frac{\left(2\times 3+2\right)\times 3}{3\left(1\times 3+2\right)}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{x}{1+\frac{2+2\times 3}{2+3}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

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

$$\frac{x}{1+\frac{2+6}{2+3}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

8 olish uchun 2 va 6'ni qo'shing.

$$\frac{x}{1+\frac{8}{2+3}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

5 olish uchun 2 va 3'ni qo'shing.

$$\frac{x}{1+\frac{8}{5}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

1 ni \frac{5}{5} kasrga o‘giring.

$$\frac{x}{\frac{5}{5}+\frac{8}{5}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

\frac{5}{5} va \frac{8}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x}{\frac{5+8}{5}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

13 olish uchun 5 va 8'ni qo'shing.

$$\frac{x}{\frac{13}{5}}=\frac{\frac{1\times 3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{x}{\frac{13}{5}}=\frac{\frac{3+1}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

4 olish uchun 3 va 1'ni qo'shing.

$$\frac{x}{\frac{13}{5}}=\frac{\frac{4}{3}+\frac{3}{4}}{2-\frac{3}{4}}$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{4}{3} va \frac{3}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{x}{\frac{13}{5}}=\frac{\frac{16}{12}+\frac{9}{12}}{2-\frac{3}{4}}$$

\frac{16}{12} va \frac{9}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x}{\frac{13}{5}}=\frac{\frac{16+9}{12}}{2-\frac{3}{4}}$$

25 olish uchun 16 va 9'ni qo'shing.

$$\frac{x}{\frac{13}{5}}=\frac{\frac{25}{12}}{2-\frac{3}{4}}$$

2 ni \frac{8}{4} kasrga o‘giring.

$$\frac{x}{\frac{13}{5}}=\frac{\frac{25}{12}}{\frac{8}{4}-\frac{3}{4}}$$

\frac{8}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{x}{\frac{13}{5}}=\frac{\frac{25}{12}}{\frac{8-3}{4}}$$

5 olish uchun 8 dan 3 ni ayirish.

$$\frac{x}{\frac{13}{5}}=\frac{\frac{25}{12}}{\frac{5}{4}}$$

\frac{25}{12} ni \frac{5}{4} ga bo'lish \frac{25}{12} ga k'paytirish \frac{5}{4} ga qaytarish.

$$\frac{x}{\frac{13}{5}}=\frac{25}{12}\times \frac{4}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{25}{12} ni \frac{4}{5} ga ko‘paytiring.

$$\frac{x}{\frac{13}{5}}=\frac{25\times 4}{12\times 5}$$

\frac{25\times 4}{12\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{x}{\frac{13}{5}}=\frac{100}{60}$$

\frac{100}{60} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{x}{\frac{13}{5}}=\frac{5}{3}$$

Ikkala tarafini \frac{13}{5} ga ko‘paytiring.

$$x=\frac{5}{3}\times \frac{13}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{3} ni \frac{13}{5} ga ko‘paytiring.

$$x=\frac{5\times 13}{3\times 5}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$x=\frac{13}{3}$$