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

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

Baholash

$$\frac{19}{24}\approx 0,791666667$$

Yechim qadamlari

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{6}+\frac{2}{6}-\frac{1}{4}||\frac{1}{3}+\frac{1}{2}-1||$$

\frac{3}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+2}{6}-\frac{1}{4}||\frac{1}{3}+\frac{1}{2}-1||$$

5 olish uchun 3 va 2'ni qo'shing.

$$\frac{5}{6}-\frac{1}{4}||\frac{1}{3}+\frac{1}{2}-1||$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}-\frac{1}{4}||\frac{2}{6}+\frac{3}{6}-1||$$

\frac{2}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{6}-\frac{1}{4}||\frac{2+3}{6}-1||$$

5 olish uchun 2 va 3'ni qo'shing.

$$\frac{5}{6}-\frac{1}{4}||\frac{5}{6}-1||$$

1 ni \frac{6}{6} kasrga o‘giring.

$$\frac{5}{6}-\frac{1}{4}||\frac{5}{6}-\frac{6}{6}||$$

\frac{5}{6} va \frac{6}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{6}-\frac{1}{4}||\frac{5-6}{6}||$$

-1 olish uchun 5 dan 6 ni ayirish.

$$\frac{5}{6}-\frac{1}{4}||-\frac{1}{6}||$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{1}{6} ning mutloq qiymati \frac{1}{6} ga teng.

$$\frac{5}{6}-\frac{1}{4}|\frac{1}{6}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. \frac{1}{6} ning mutloq qiymati \frac{1}{6} ga teng.

$$\frac{5}{6}-\frac{1}{4}\times \frac{1}{6}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni \frac{1}{6} ga ko‘paytiring.

$$\frac{5}{6}-\frac{1\times 1}{4\times 6}$$

\frac{1\times 1}{4\times 6} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5}{6}-\frac{1}{24}$$

6 va 24 ning eng kichik umumiy karralisi 24 ga teng. \frac{5}{6} va \frac{1}{24} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{20}{24}-\frac{1}{24}$$

\frac{20}{24} va \frac{1}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{20-1}{24}$$

19 olish uchun 20 dan 1 ni ayirish.

$$\frac{19}{24}$$

Omil

$$\frac{19}{2 ^ {3} \cdot 3} = 0,7916666666666666$$