(n/m-m/n)*m/n-m eching

$$( \frac { n } { m } - \frac { m } { n } ) \cdot \frac { m } { n - m }$$

Baholash

$$\frac{m+n}{n}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. m va n ning eng kichik umumiy karralisi mn. \frac{n}{m} ni \frac{n}{n} marotabaga ko'paytirish. \frac{m}{n} ni \frac{m}{m} marotabaga ko'paytirish.

$$\left(\frac{nn}{mn}-\frac{mm}{mn}\right)\times \frac{m}{n-m}$$

\frac{nn}{mn} va \frac{mm}{mn} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{nn-mm}{mn}\times \frac{m}{n-m}$$

nn-mm ichidagi ko‘paytirishlarni bajaring.

$$\frac{n^{2}-m^{2}}{mn}\times \frac{m}{n-m}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{n^{2}-m^{2}}{mn} ni \frac{m}{n-m} ga ko‘paytiring.

$$\frac{\left(n^{2}-m^{2}\right)m}{mn\left(n-m\right)}$$

Surat va maxrajdagi ikkala m ni qisqartiring.

$$\frac{-m^{2}+n^{2}}{n\left(-m+n\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(m+n\right)\left(-m+n\right)}{n\left(-m+n\right)}$$

Surat va maxrajdagi ikkala -m+n ni qisqartiring.

$$\frac{m+n}{n}$$

Kengaytirish

$$\frac{m+n}{n}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. m va n ning eng kichik umumiy karralisi mn. \frac{n}{m} ni \frac{n}{n} marotabaga ko'paytirish. \frac{m}{n} ni \frac{m}{m} marotabaga ko'paytirish.

$$\left(\frac{nn}{mn}-\frac{mm}{mn}\right)\times \frac{m}{n-m}$$

\frac{nn}{mn} va \frac{mm}{mn} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{nn-mm}{mn}\times \frac{m}{n-m}$$

nn-mm ichidagi ko‘paytirishlarni bajaring.

$$\frac{n^{2}-m^{2}}{mn}\times \frac{m}{n-m}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{n^{2}-m^{2}}{mn} ni \frac{m}{n-m} ga ko‘paytiring.

$$\frac{\left(n^{2}-m^{2}\right)m}{mn\left(n-m\right)}$$

Surat va maxrajdagi ikkala m ni qisqartiring.

$$\frac{-m^{2}+n^{2}}{n\left(-m+n\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(m+n\right)\left(-m+n\right)}{n\left(-m+n\right)}$$

Surat va maxrajdagi ikkala -m+n ni qisqartiring.

$$\frac{m+n}{n}$$