|5/6|-1/2+17/24 eching

$$| \frac { 5 } { 6 } | - \frac { 1 } { 2 } + \frac { 17 } { 24 }$$

Baholash

$$\frac{25}{24}\approx 1,041666667$$

Yechim qadamlari

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. \frac{5}{6} ning mutloq qiymati \frac{5}{6} ga teng.

$$\frac{5}{6}-\frac{1}{2}+\frac{17}{24}$$

6 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{6} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}-\frac{3}{6}+\frac{17}{24}$$

\frac{5}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5-3}{6}+\frac{17}{24}$$

2 olish uchun 5 dan 3 ni ayirish.

$$\frac{2}{6}+\frac{17}{24}$$

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{3}+\frac{17}{24}$$

3 va 24 ning eng kichik umumiy karralisi 24 ga teng. \frac{1}{3} va \frac{17}{24} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8}{24}+\frac{17}{24}$$

\frac{8}{24} va \frac{17}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8+17}{24}$$

25 olish uchun 8 va 17'ni qo'shing.

$$\frac{25}{24}$$

Omil

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1,0416666666666667$$