-(-86/7)-|-75/14|+(-64/7)+|-53/14| eching

$$- ( - 8 \frac { 6 } { 7 } ) - | - 7 \frac { 5 } { 14 } | + ( - 6 \frac { 4 } { 7 } ) + | - 5 \frac { 3 } { 14 } |$$

Baholash

$$\frac{1}{7}\approx 0,142857143$$

Yechim qadamlari

56 hosil qilish uchun 8 va 7 ni ko'paytirish.

$$-\left(-\frac{56+6}{7}\right)-|-\frac{7\times 14+5}{14}|-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

62 olish uchun 56 va 6'ni qo'shing.

$$-\left(-\frac{62}{7}\right)-|-\frac{7\times 14+5}{14}|-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

-\frac{62}{7} ning teskarisi \frac{62}{7} ga teng.

$$\frac{62}{7}-|-\frac{7\times 14+5}{14}|-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

98 hosil qilish uchun 7 va 14 ni ko'paytirish.

$$\frac{62}{7}-|-\frac{98+5}{14}|-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

103 olish uchun 98 va 5'ni qo'shing.

$$\frac{62}{7}-|-\frac{103}{14}|-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{103}{14} ning mutloq qiymati \frac{103}{14} ga teng.

$$\frac{62}{7}-\frac{103}{14}-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

7 va 14 ning eng kichik umumiy karralisi 14 ga teng. \frac{62}{7} va \frac{103}{14} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\frac{124}{14}-\frac{103}{14}-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

\frac{124}{14} va \frac{103}{14} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{124-103}{14}-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

21 olish uchun 124 dan 103 ni ayirish.

$$\frac{21}{14}-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

\frac{21}{14} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}-\frac{6\times 7+4}{7}+|-\frac{5\times 14+3}{14}|$$

42 hosil qilish uchun 6 va 7 ni ko'paytirish.

$$\frac{3}{2}-\frac{42+4}{7}+|-\frac{5\times 14+3}{14}|$$

46 olish uchun 42 va 4'ni qo'shing.

$$\frac{3}{2}-\frac{46}{7}+|-\frac{5\times 14+3}{14}|$$

2 va 7 ning eng kichik umumiy karralisi 14 ga teng. \frac{3}{2} va \frac{46}{7} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\frac{21}{14}-\frac{92}{14}+|-\frac{5\times 14+3}{14}|$$

\frac{21}{14} va \frac{92}{14} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{21-92}{14}+|-\frac{5\times 14+3}{14}|$$

-71 olish uchun 21 dan 92 ni ayirish.

$$-\frac{71}{14}+|-\frac{5\times 14+3}{14}|$$

70 hosil qilish uchun 5 va 14 ni ko'paytirish.

$$-\frac{71}{14}+|-\frac{70+3}{14}|$$

73 olish uchun 70 va 3'ni qo'shing.

$$-\frac{71}{14}+|-\frac{73}{14}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{73}{14} ning mutloq qiymati \frac{73}{14} ga teng.

$$-\frac{71}{14}+\frac{73}{14}$$

-\frac{71}{14} va \frac{73}{14} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-71+73}{14}$$

2 olish uchun -71 va 73'ni qo'shing.

$$\frac{2}{14}$$

\frac{2}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{7}$$

Omil

$$\frac{1}{7} = 0,14285714285714285$$