7(x-1)/4x-12*2x-6/3x-3= eching

$$\frac { 7 ( x - 1 ) } { 4 x - 12 } \cdot \frac { 2 x - 6 } { 3 x - 3 } =$$

Baholash

$$\frac{7}{6}\approx 1,166666667$$

Qisqa yechim qadamlari

7 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{7x-7}{4x-12}\times \frac{2x-6}{3x-3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7x-7}{4x-12} ni \frac{2x-6}{3x-3} ga ko‘paytiring.

$$\frac{\left(7x-7\right)\left(2x-6\right)}{\left(4x-12\right)\left(3x-3\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2\times 7\left(x-3\right)\left(x-1\right)}{3\times 4\left(x-3\right)\left(x-1\right)}$$

Surat va maxrajdagi ikkala 2\left(x-3\right)\left(x-1\right) ni qisqartiring.

$$\frac{7}{2\times 3}$$

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

$$\frac{7}{6}$$

Omil

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1,1666666666666667$$