+18/6-3/2+8-6-1/5-2/3+frac{5}{3}+frac{6}{36}-1+frac{7}{14}-10-4+frac{4}{5}+frac{2}{3} eching

$$+ \frac { 18 } { 6 } - \frac { 3 } { 2 } + 8 - 6 - \frac { 1 } { 5 } - \frac { 2 } { 3 } + \frac { 5 } { 3 } + \frac { 6 } { 36 } - 1 + \frac { 7 } { 14 } - 10 - 4 + \frac { 4 } { 5 } + \frac { 2 } { 3 }$$

Baholash

$$-\frac{257}{30}\approx -8,566666667$$

Yechim qadamlari

3 ni olish uchun 18 ni 6 ga bo‘ling.

$$3-\frac{3}{2}+8-6-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

3 ni \frac{6}{2} kasrga o‘giring.

$$\frac{6}{2}-\frac{3}{2}+8-6-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{6}{2} va \frac{3}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{6-3}{2}+8-6-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

3 olish uchun 6 dan 3 ni ayirish.

$$\frac{3}{2}+8-6-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

8 ni \frac{16}{2} kasrga o‘giring.

$$\frac{3}{2}+\frac{16}{2}-6-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{3}{2} va \frac{16}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+16}{2}-6-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

19 olish uchun 3 va 16'ni qo'shing.

$$\frac{19}{2}-6-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

6 ni \frac{12}{2} kasrga o‘giring.

$$\frac{19}{2}-\frac{12}{2}-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{19}{2} va \frac{12}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{19-12}{2}-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

7 olish uchun 19 dan 12 ni ayirish.

$$\frac{7}{2}-\frac{1}{5}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

2 va 5 ning eng kichik umumiy karralisi 10 ga teng. \frac{7}{2} va \frac{1}{5} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{35}{10}-\frac{2}{10}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{35}{10} va \frac{2}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{35-2}{10}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

33 olish uchun 35 dan 2 ni ayirish.

$$\frac{33}{10}-\frac{2}{3}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

10 va 3 ning eng kichik umumiy karralisi 30 ga teng. \frac{33}{10} va \frac{2}{3} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{99}{30}-\frac{20}{30}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{99}{30} va \frac{20}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{99-20}{30}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

79 olish uchun 99 dan 20 ni ayirish.

$$\frac{79}{30}+\frac{5}{3}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

30 va 3 ning eng kichik umumiy karralisi 30 ga teng. \frac{79}{30} va \frac{5}{3} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{79}{30}+\frac{50}{30}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{79}{30} va \frac{50}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{79+50}{30}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

129 olish uchun 79 va 50'ni qo'shing.

$$\frac{129}{30}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{129}{30} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{43}{10}+\frac{6}{36}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{6}{36} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{43}{10}+\frac{1}{6}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

10 va 6 ning eng kichik umumiy karralisi 30 ga teng. \frac{43}{10} va \frac{1}{6} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{129}{30}+\frac{5}{30}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{129}{30} va \frac{5}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{129+5}{30}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

134 olish uchun 129 va 5'ni qo'shing.

$$\frac{134}{30}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{134}{30} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{67}{15}-1+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

1 ni \frac{15}{15} kasrga o‘giring.

$$\frac{67}{15}-\frac{15}{15}+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{67}{15} va \frac{15}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{67-15}{15}+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

52 olish uchun 67 dan 15 ni ayirish.

$$\frac{52}{15}+\frac{7}{14}-10-4+\frac{4}{5}+\frac{2}{3}$$

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

$$\frac{52}{15}+\frac{1}{2}-10-4+\frac{4}{5}+\frac{2}{3}$$

15 va 2 ning eng kichik umumiy karralisi 30 ga teng. \frac{52}{15} va \frac{1}{2} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{104}{30}+\frac{15}{30}-10-4+\frac{4}{5}+\frac{2}{3}$$

\frac{104}{30} va \frac{15}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{104+15}{30}-10-4+\frac{4}{5}+\frac{2}{3}$$

119 olish uchun 104 va 15'ni qo'shing.

$$\frac{119}{30}-10-4+\frac{4}{5}+\frac{2}{3}$$

10 ni \frac{300}{30} kasrga o‘giring.

$$\frac{119}{30}-\frac{300}{30}-4+\frac{4}{5}+\frac{2}{3}$$

\frac{119}{30} va \frac{300}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{119-300}{30}-4+\frac{4}{5}+\frac{2}{3}$$

-181 olish uchun 119 dan 300 ni ayirish.

$$-\frac{181}{30}-4+\frac{4}{5}+\frac{2}{3}$$

4 ni \frac{120}{30} kasrga o‘giring.

$$-\frac{181}{30}-\frac{120}{30}+\frac{4}{5}+\frac{2}{3}$$

-\frac{181}{30} va \frac{120}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-181-120}{30}+\frac{4}{5}+\frac{2}{3}$$

-301 olish uchun -181 dan 120 ni ayirish.

$$-\frac{301}{30}+\frac{4}{5}+\frac{2}{3}$$

30 va 5 ning eng kichik umumiy karralisi 30 ga teng. -\frac{301}{30} va \frac{4}{5} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{301}{30}+\frac{24}{30}+\frac{2}{3}$$

-\frac{301}{30} va \frac{24}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-301+24}{30}+\frac{2}{3}$$

-277 olish uchun -301 va 24'ni qo'shing.

$$-\frac{277}{30}+\frac{2}{3}$$

30 va 3 ning eng kichik umumiy karralisi 30 ga teng. -\frac{277}{30} va \frac{2}{3} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{277}{30}+\frac{20}{30}$$

-\frac{277}{30} va \frac{20}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-277+20}{30}$$

-257 olish uchun -277 va 20'ni qo'shing.

$$-\frac{257}{30}$$

Omil

$$-\frac{257}{30} = -8\frac{17}{30} = -8,566666666666666$$