-5/b-5-3/frac{10{b-5}+6} eching

$$\frac { \frac { - 5 } { b - 5 } - 3 } { \frac { 10 } { b - 5 } + 6 }$$

Baholash

$$-\frac{1}{2}=-0,5$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{b-5}{b-5} marotabaga ko'paytirish.

$$\frac{\frac{-5}{b-5}-\frac{3\left(b-5\right)}{b-5}}{\frac{10}{b-5}+6}$$

\frac{-5}{b-5} va \frac{3\left(b-5\right)}{b-5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{-5-3\left(b-5\right)}{b-5}}{\frac{10}{b-5}+6}$$

-5-3\left(b-5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{-5-3b+15}{b-5}}{\frac{10}{b-5}+6}$$

-5-3b+15 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{10-3b}{b-5}}{\frac{10}{b-5}+6}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 ni \frac{b-5}{b-5} marotabaga ko'paytirish.

$$\frac{\frac{10-3b}{b-5}}{\frac{10}{b-5}+\frac{6\left(b-5\right)}{b-5}}$$

\frac{10}{b-5} va \frac{6\left(b-5\right)}{b-5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{10-3b}{b-5}}{\frac{10+6\left(b-5\right)}{b-5}}$$

10+6\left(b-5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{10-3b}{b-5}}{\frac{10+6b-30}{b-5}}$$

10+6b-30 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{10-3b}{b-5}}{\frac{-20+6b}{b-5}}$$

\frac{10-3b}{b-5} ni \frac{-20+6b}{b-5} ga bo'lish \frac{10-3b}{b-5} ga k'paytirish \frac{-20+6b}{b-5} ga qaytarish.

$$\frac{\left(10-3b\right)\left(b-5\right)}{\left(b-5\right)\left(-20+6b\right)}$$

Surat va maxrajdagi ikkala b-5 ni qisqartiring.

$$\frac{-3b+10}{6b-20}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{-3b+10}{2\left(3b-10\right)}$$

10-3b mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-\left(3b-10\right)}{2\left(3b-10\right)}$$

Surat va maxrajdagi ikkala 3b-10 ni qisqartiring.

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

\frac{-1}{2} kasri manfiy belgini olib tashlash bilan -\frac{1}{2} sifatida qayta yozilishi mumkin.

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

Omil

$$-\frac{1}{2} = -0,5$$