3-|5/3+4/2+frac{1{4}}+2| eching

$$3 - | \frac { 5 } { 3 } + \frac { 4 } { 2 + \frac { 1 } { 4 } } + 2 |$$

Baholash

$$-\frac{22}{9}\approx -2,444444444$$

Yechim qadamlari

2 ni \frac{8}{4} kasrga o‘giring.

$$3-|\frac{5}{3}+\frac{4}{\frac{8}{4}+\frac{1}{4}}+2|$$

\frac{8}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$3-|\frac{5}{3}+\frac{4}{\frac{8+1}{4}}+2|$$

9 olish uchun 8 va 1'ni qo'shing.

$$3-|\frac{5}{3}+\frac{4}{\frac{9}{4}}+2|$$

4 ni \frac{9}{4} ga bo'lish 4 ga k'paytirish \frac{9}{4} ga qaytarish.

$$3-|\frac{5}{3}+4\times \frac{4}{9}+2|$$

4\times \frac{4}{9} ni yagona kasrga aylantiring.

$$3-|\frac{5}{3}+\frac{4\times 4}{9}+2|$$

16 hosil qilish uchun 4 va 4 ni ko'paytirish.

$$3-|\frac{5}{3}+\frac{16}{9}+2|$$

3 va 9 ning eng kichik umumiy karralisi 9 ga teng. \frac{5}{3} va \frac{16}{9} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$3-|\frac{15}{9}+\frac{16}{9}+2|$$

\frac{15}{9} va \frac{16}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$3-|\frac{15+16}{9}+2|$$

31 olish uchun 15 va 16'ni qo'shing.

$$3-|\frac{31}{9}+2|$$

2 ni \frac{18}{9} kasrga o‘giring.

$$3-|\frac{31}{9}+\frac{18}{9}|$$

\frac{31}{9} va \frac{18}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$3-|\frac{31+18}{9}|$$

49 olish uchun 31 va 18'ni qo'shing.

$$3-|\frac{49}{9}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. \frac{49}{9} ning mutloq qiymati \frac{49}{9} ga teng.

$$3-\frac{49}{9}$$

3 ni \frac{27}{9} kasrga o‘giring.

$$\frac{27}{9}-\frac{49}{9}$$

\frac{27}{9} va \frac{49}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{27-49}{9}$$

-22 olish uchun 27 dan 49 ni ayirish.

$$-\frac{22}{9}$$

Omil

$$-\frac{22}{9} = -2\frac{4}{9} = -2,4444444444444446$$