20*1/12+2*4/n+(-1)*2/n+(-5)*5/12 eching

$$20 \cdot \frac { 1 } { 12 } + 2 \cdot \frac { 4 } { n } + ( - 1 ) \cdot \frac { 2 } { n } + ( - 5 ) \cdot \frac { 5 } { 12 }$$

Baholash

$$-\frac{5}{12}+\frac{6}{n}$$

Qisqa yechim qadamlari

\frac{20}{12} hosil qilish uchun 20 va \frac{1}{12} ni ko'paytirish.

$$\frac{20}{12}+2\times \frac{4}{n}-\frac{2}{n}-5\times \frac{5}{12}$$

\frac{20}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{3}+2\times \frac{4}{n}-\frac{2}{n}-5\times \frac{5}{12}$$

2\times \frac{4}{n} ni yagona kasrga aylantiring.

$$\frac{5}{3}+\frac{2\times 4}{n}-\frac{2}{n}-5\times \frac{5}{12}$$

-5\times \frac{5}{12} ni yagona kasrga aylantiring.

$$\frac{5}{3}+\frac{2\times 4}{n}-\frac{2}{n}+\frac{-5\times 5}{12}$$

-25 hosil qilish uchun -5 va 5 ni ko'paytirish.

$$\frac{5}{3}+\frac{2\times 4}{n}-\frac{2}{n}+\frac{-25}{12}$$

\frac{-25}{12} kasri manfiy belgini olib tashlash bilan -\frac{25}{12} sifatida qayta yozilishi mumkin.

$$\frac{5}{3}+\frac{2\times 4}{n}-\frac{2}{n}-\frac{25}{12}$$

3 va 12 ning eng kichik umumiy karralisi 12 ga teng. \frac{5}{3} va \frac{25}{12} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{20}{12}+\frac{2\times 4}{n}-\frac{2}{n}-\frac{25}{12}$$

\frac{20}{12} va \frac{25}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{20-25}{12}+\frac{2\times 4}{n}-\frac{2}{n}$$

-5 olish uchun 20 dan 25 ni ayirish.

$$-\frac{5}{12}+\frac{2\times 4}{n}-\frac{2}{n}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12 va n ning eng kichik umumiy karralisi 12n. -\frac{5}{12} ni \frac{n}{n} marotabaga ko'paytirish. \frac{2\times 4}{n} ni \frac{12}{12} marotabaga ko'paytirish.

$$-\frac{5n}{12n}+\frac{12\times 2\times 4}{12n}-\frac{2}{n}$$

-\frac{5n}{12n} va \frac{12\times 2\times 4}{12n} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-5n+12\times 2\times 4}{12n}-\frac{2}{n}$$

-5n+12\times 2\times 4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{-5n+96}{12n}-\frac{2}{n}$$

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

$$\frac{-5n+96}{12n}-\frac{2\times 12}{12n}$$

\frac{-5n+96}{12n} va \frac{2\times 12}{12n} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-5n+96-2\times 12}{12n}$$

-5n+96-2\times 12 ichidagi ko‘paytirishlarni bajaring.

$$\frac{-5n+96-24}{12n}$$

-5n+96-24 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-5n+72}{12n}$$

Omil

$$-\frac{\frac{1}{12}\left(5n-72\right)}{n}$$