tan1/2|1/2+1/3-1/4|+|frac{1}{3}+frac{1}{2}-1| eching

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

Baholash

$$\frac{128817940717701551}{750000000000000000}\approx 0,171757254$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$0,005090587623602068 + | \frac{1}{3} + \frac{1}{2} - 1 |$$

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.

$$0,005090587623602068+|\frac{2}{6}+\frac{3}{6}-1|$$

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

$$0,005090587623602068+|\frac{2+3}{6}-1|$$

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

$$0,005090587623602068+|\frac{5}{6}-1|$$

1 ni \frac{6}{6} kasrga o‘giring.

$$0,005090587623602068+|\frac{5}{6}-\frac{6}{6}|$$

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

$$0,005090587623602068+|\frac{5-6}{6}|$$

-1 olish uchun 5 dan 6 ni ayirish.

$$0,005090587623602068+|-\frac{1}{6}|$$

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.

$$0,005090587623602068+\frac{1}{6}$$

0,005090587623602068 o‘nlik raqamni uning \frac{1272646905900517}{10000000000} kasrga o‘giring. \frac{1272646905900517}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1272646905900517}{250000000000000000}+\frac{1}{6}$$

250000000000000000 va 6 ning eng kichik umumiy karralisi 750000000000000000 ga teng. \frac{1272646905900517}{250000000000000000} va \frac{1}{6} ni 750000000000000000 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3817940717701551}{750000000000000000}+\frac{125000000000000000}{750000000000000000}$$

\frac{3817940717701551}{750000000000000000} va \frac{125000000000000000}{750000000000000000} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3817940717701551+125000000000000000}{750000000000000000}$$

128817940717701551 olish uchun 3817940717701551 va 125000000000000000'ni qo'shing.

$$\frac{128817940717701551}{750000000000000000}$$

Omil

$$\frac{27697 \cdot 4650970889183}{3 \cdot 2 ^ {16} \cdot 5 ^ {18}} = 0,17175725429026872$$