3/y-1/y^2/5+frac{7{y^2}} eching

$$\frac{ \frac{ 3 }{ y } - \frac{ 1 }{ { y }^{ 2 } } }{ 5+ \frac{ 7 }{ { y }^{ 2 } } }$$

Baholash

$$\frac{3y-1}{5y^{2}+7}$$

Yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y va y^{2} ning eng kichik umumiy karralisi y^{2}. \frac{3}{y} ni \frac{y}{y} marotabaga ko'paytirish.

$$\frac{\frac{3y}{y^{2}}-\frac{1}{y^{2}}}{5+\frac{7}{y^{2}}}$$

\frac{3y}{y^{2}} va \frac{1}{y^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3y-1}{y^{2}}}{5+\frac{7}{y^{2}}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5 ni \frac{y^{2}}{y^{2}} marotabaga ko'paytirish.

$$\frac{\frac{3y-1}{y^{2}}}{\frac{5y^{2}}{y^{2}}+\frac{7}{y^{2}}}$$

\frac{5y^{2}}{y^{2}} va \frac{7}{y^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3y-1}{y^{2}}}{\frac{5y^{2}+7}{y^{2}}}$$

\frac{3y-1}{y^{2}} ni \frac{5y^{2}+7}{y^{2}} ga bo'lish \frac{3y-1}{y^{2}} ga k'paytirish \frac{5y^{2}+7}{y^{2}} ga qaytarish.

$$\frac{\left(3y-1\right)y^{2}}{y^{2}\left(5y^{2}+7\right)}$$

Surat va maxrajdagi ikkala y^{2} ni qisqartiring.

$$\frac{3y-1}{5y^{2}+7}$$

Kengaytirish

$$\frac{3y-1}{5y^{2}+7}$$

Yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y va y^{2} ning eng kichik umumiy karralisi y^{2}. \frac{3}{y} ni \frac{y}{y} marotabaga ko'paytirish.

$$\frac{\frac{3y}{y^{2}}-\frac{1}{y^{2}}}{5+\frac{7}{y^{2}}}$$

\frac{3y}{y^{2}} va \frac{1}{y^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3y-1}{y^{2}}}{5+\frac{7}{y^{2}}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5 ni \frac{y^{2}}{y^{2}} marotabaga ko'paytirish.

$$\frac{\frac{3y-1}{y^{2}}}{\frac{5y^{2}}{y^{2}}+\frac{7}{y^{2}}}$$

\frac{5y^{2}}{y^{2}} va \frac{7}{y^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3y-1}{y^{2}}}{\frac{5y^{2}+7}{y^{2}}}$$

\frac{3y-1}{y^{2}} ni \frac{5y^{2}+7}{y^{2}} ga bo'lish \frac{3y-1}{y^{2}} ga k'paytirish \frac{5y^{2}+7}{y^{2}} ga qaytarish.

$$\frac{\left(3y-1\right)y^{2}}{y^{2}\left(5y^{2}+7\right)}$$

Surat va maxrajdagi ikkala y^{2} ni qisqartiring.

$$\frac{3y-1}{5y^{2}+7}$$