-1/10-1/6+41/18-7+27/2+frac{12}{5}-8= eching

$$\frac { - 1 } { 10 } - \frac { 1 } { 6 } + \frac { 41 } { 18 } - 7 + \frac { 27 } { 2 } + \frac { 12 } { 5 } - 8 =$$

Baholash

$$\frac{131}{45}\approx 2,911111111$$

Yechim qadamlari

\frac{-1}{10} kasri manfiy belgini olib tashlash bilan -\frac{1}{10} sifatida qayta yozilishi mumkin.

$$-\frac{1}{10}-\frac{1}{6}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

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

$$-\frac{3}{30}-\frac{5}{30}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

-\frac{3}{30} va \frac{5}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-3-5}{30}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

-8 olish uchun -3 dan 5 ni ayirish.

$$\frac{-8}{30}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

\frac{-8}{30} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{4}{15}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

15 va 18 ning eng kichik umumiy karralisi 90 ga teng. -\frac{4}{15} va \frac{41}{18} ni 90 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{24}{90}+\frac{205}{90}-7+\frac{27}{2}+\frac{12}{5}-8$$

-\frac{24}{90} va \frac{205}{90} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-24+205}{90}-7+\frac{27}{2}+\frac{12}{5}-8$$

181 olish uchun -24 va 205'ni qo'shing.

$$\frac{181}{90}-7+\frac{27}{2}+\frac{12}{5}-8$$

7 ni \frac{630}{90} kasrga o‘giring.

$$\frac{181}{90}-\frac{630}{90}+\frac{27}{2}+\frac{12}{5}-8$$

\frac{181}{90} va \frac{630}{90} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{181-630}{90}+\frac{27}{2}+\frac{12}{5}-8$$

-449 olish uchun 181 dan 630 ni ayirish.

$$-\frac{449}{90}+\frac{27}{2}+\frac{12}{5}-8$$

90 va 2 ning eng kichik umumiy karralisi 90 ga teng. -\frac{449}{90} va \frac{27}{2} ni 90 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{449}{90}+\frac{1215}{90}+\frac{12}{5}-8$$

-\frac{449}{90} va \frac{1215}{90} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-449+1215}{90}+\frac{12}{5}-8$$

766 olish uchun -449 va 1215'ni qo'shing.

$$\frac{766}{90}+\frac{12}{5}-8$$

\frac{766}{90} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{383}{45}+\frac{12}{5}-8$$

45 va 5 ning eng kichik umumiy karralisi 45 ga teng. \frac{383}{45} va \frac{12}{5} ni 45 maxraj bilan kasrlarga aylantirib oling.

$$\frac{383}{45}+\frac{108}{45}-8$$

\frac{383}{45} va \frac{108}{45} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{383+108}{45}-8$$

491 olish uchun 383 va 108'ni qo'shing.

$$\frac{491}{45}-8$$

8 ni \frac{360}{45} kasrga o‘giring.

$$\frac{491}{45}-\frac{360}{45}$$

\frac{491}{45} va \frac{360}{45} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{491-360}{45}$$

131 olish uchun 491 dan 360 ni ayirish.

$$\frac{131}{45}$$

Omil

$$\frac{131}{3 ^ {2} \cdot 5} = 2\frac{41}{45} = 2,911111111111111$$