7/3x+5/4x-2/8x^2 eching

$$\frac { 7 } { 3 x } + \frac { 5 } { 4 x } - \frac { 2 } { 8 x ^ { 2 } }$$

Baholash

$$\frac{43x-3}{12x^{2}}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3x va 4x ning eng kichik umumiy karralisi 12x. \frac{7}{3x} ni \frac{4}{4} marotabaga ko'paytirish. \frac{5}{4x} ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{7\times 4}{12x}+\frac{5\times 3}{12x}-\frac{2}{8x^{2}}$$

\frac{7\times 4}{12x} va \frac{5\times 3}{12x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7\times 4+5\times 3}{12x}-\frac{2}{8x^{2}}$$

7\times 4+5\times 3 ichidagi ko‘paytirishlarni bajaring.

$$\frac{28+15}{12x}-\frac{2}{8x^{2}}$$

28+15 hisob-kitobini qiling.

$$\frac{43}{12x}-\frac{2}{8x^{2}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12x va 8x^{2} ning eng kichik umumiy karralisi 24x^{2}. \frac{43}{12x} ni \frac{2x}{2x} marotabaga ko'paytirish. \frac{2}{8x^{2}} ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{43\times 2x}{24x^{2}}-\frac{2\times 3}{24x^{2}}$$

\frac{43\times 2x}{24x^{2}} va \frac{2\times 3}{24x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{43\times 2x-2\times 3}{24x^{2}}$$

43\times 2x-2\times 3 ichidagi ko‘paytirishlarni bajaring.

$$\frac{86x-6}{24x^{2}}$$

\frac{86x-6}{24x^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2\left(43x-3\right)}{24x^{2}}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{43x-3}{12x^{2}}$$

Omil

$$\frac{43x-3}{12x^{2}}$$