1+1/x-2/1-1{1+frac{2/x-4}} eching

$$\frac { 1 + \frac { 1 } { x - 2 } } { 1 - \frac { 1 } { 1 + \frac { 2 } { x - 4 } } }$$

Baholash

$$\frac{x-1}{2}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-2}{x-2} marotabaga ko'paytirish.

$$\frac{\frac{x-2}{x-2}+\frac{1}{x-2}}{1-\frac{1}{1+\frac{2}{x-4}}}$$

\frac{x-2}{x-2} va \frac{1}{x-2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x-2+1}{x-2}}{1-\frac{1}{1+\frac{2}{x-4}}}$$

x-2+1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{x-1}{x-2}}{1-\frac{1}{1+\frac{2}{x-4}}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-4}{x-4} marotabaga ko'paytirish.

$$\frac{\frac{x-1}{x-2}}{1-\frac{1}{\frac{x-4}{x-4}+\frac{2}{x-4}}}$$

\frac{x-4}{x-4} va \frac{2}{x-4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x-1}{x-2}}{1-\frac{1}{\frac{x-4+2}{x-4}}}$$

x-4+2 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{x-1}{x-2}}{1-\frac{1}{\frac{x-2}{x-4}}}$$

1 ni \frac{x-2}{x-4} ga bo'lish 1 ga k'paytirish \frac{x-2}{x-4} ga qaytarish.

$$\frac{\frac{x-1}{x-2}}{1-\frac{x-4}{x-2}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-2}{x-2} marotabaga ko'paytirish.

$$\frac{\frac{x-1}{x-2}}{\frac{x-2}{x-2}-\frac{x-4}{x-2}}$$

\frac{x-2}{x-2} va \frac{x-4}{x-2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{x-1}{x-2}}{\frac{x-2-\left(x-4\right)}{x-2}}$$

x-2-\left(x-4\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{x-1}{x-2}}{\frac{x-2-x+4}{x-2}}$$

x-2-x+4 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{x-1}{x-2}}{\frac{2}{x-2}}$$

\frac{x-1}{x-2} ni \frac{2}{x-2} ga bo'lish \frac{x-1}{x-2} ga k'paytirish \frac{2}{x-2} ga qaytarish.

$$\frac{\left(x-1\right)\left(x-2\right)}{\left(x-2\right)\times 2}$$

Surat va maxrajdagi ikkala x-2 ni qisqartiring.

$$\frac{x-1}{2}$$

Kengaytirish

$$\frac{x-1}{2}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-2}{x-2} marotabaga ko'paytirish.

$$\frac{\frac{x-2}{x-2}+\frac{1}{x-2}}{1-\frac{1}{1+\frac{2}{x-4}}}$$

\frac{x-2}{x-2} va \frac{1}{x-2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x-2+1}{x-2}}{1-\frac{1}{1+\frac{2}{x-4}}}$$

x-2+1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{x-1}{x-2}}{1-\frac{1}{1+\frac{2}{x-4}}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-4}{x-4} marotabaga ko'paytirish.

$$\frac{\frac{x-1}{x-2}}{1-\frac{1}{\frac{x-4}{x-4}+\frac{2}{x-4}}}$$

\frac{x-4}{x-4} va \frac{2}{x-4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x-1}{x-2}}{1-\frac{1}{\frac{x-4+2}{x-4}}}$$

x-4+2 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{x-1}{x-2}}{1-\frac{1}{\frac{x-2}{x-4}}}$$

1 ni \frac{x-2}{x-4} ga bo'lish 1 ga k'paytirish \frac{x-2}{x-4} ga qaytarish.

$$\frac{\frac{x-1}{x-2}}{1-\frac{x-4}{x-2}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-2}{x-2} marotabaga ko'paytirish.

$$\frac{\frac{x-1}{x-2}}{\frac{x-2}{x-2}-\frac{x-4}{x-2}}$$

\frac{x-2}{x-2} va \frac{x-4}{x-2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{x-1}{x-2}}{\frac{x-2-\left(x-4\right)}{x-2}}$$

x-2-\left(x-4\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{x-1}{x-2}}{\frac{x-2-x+4}{x-2}}$$

x-2-x+4 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{x-1}{x-2}}{\frac{2}{x-2}}$$

\frac{x-1}{x-2} ni \frac{2}{x-2} ga bo'lish \frac{x-1}{x-2} ga k'paytirish \frac{2}{x-2} ga qaytarish.

$$\frac{\left(x-1\right)\left(x-2\right)}{\left(x-2\right)\times 2}$$

Surat va maxrajdagi ikkala x-2 ni qisqartiring.

$$\frac{x-1}{2}$$