(-7/18)*(-45)+1/6*(-1)^2000/(-13frac{1{3})*(-1)^1009-(-33/4)+(-frac{5}{16})}+2frac{7}{8} eching

$$\frac { ( - \frac { 7 } { 18 } ) \times ( - 45 ) + \frac { 1 } { 6 } \times ( - 1 ) ^ { 2000 } } { ( - 13 \frac { 1 } { 3 } ) \times ( - 1 ) ^ { 1009 } - ( - 3 \frac { 3 } { 4 } ) + ( - \frac { 5 } { 16 } ) } + 2 \frac { 7 } { 8 }$$

Baholash

$$\frac{25299}{6440}\approx 3,928416149$$

Yechim qadamlari

-\frac{7}{18}\left(-45\right) ni yagona kasrga aylantiring.

$$\frac{\frac{-7\left(-45\right)}{18}+\frac{1}{6}\left(-1\right)^{2000}}{\left(-\frac{13\times 3+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

315 hosil qilish uchun -7 va -45 ni ko'paytirish.

$$\frac{\frac{315}{18}+\frac{1}{6}\left(-1\right)^{2000}}{\left(-\frac{13\times 3+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

\frac{315}{18} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{35}{2}+\frac{1}{6}\left(-1\right)^{2000}}{\left(-\frac{13\times 3+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

2000 daraja ko‘rsatkichini -1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{\frac{35}{2}+\frac{1}{6}\times 1}{\left(-\frac{13\times 3+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

\frac{1}{6} hosil qilish uchun \frac{1}{6} va 1 ni ko'paytirish.

$$\frac{\frac{35}{2}+\frac{1}{6}}{\left(-\frac{13\times 3+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

2 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{35}{2} va \frac{1}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{105}{6}+\frac{1}{6}}{\left(-\frac{13\times 3+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

\frac{105}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{105+1}{6}}{\left(-\frac{13\times 3+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

106 olish uchun 105 va 1'ni qo'shing.

$$\frac{\frac{106}{6}}{\left(-\frac{13\times 3+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

\frac{106}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{53}{3}}{\left(-\frac{13\times 3+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

39 hosil qilish uchun 13 va 3 ni ko'paytirish.

$$\frac{\frac{53}{3}}{\left(-\frac{39+1}{3}\right)\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

40 olish uchun 39 va 1'ni qo'shing.

$$\frac{\frac{53}{3}}{-\frac{40}{3}\left(-1\right)^{1009}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

1009 daraja ko‘rsatkichini -1 ga hisoblang va -1 ni qiymatni oling.

$$\frac{\frac{53}{3}}{-\frac{40}{3}\left(-1\right)-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

\frac{40}{3} hosil qilish uchun -\frac{40}{3} va -1 ni ko'paytirish.

$$\frac{\frac{53}{3}}{\frac{40}{3}-\left(-\frac{3\times 4+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{\frac{53}{3}}{\frac{40}{3}-\left(-\frac{12+3}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

15 olish uchun 12 va 3'ni qo'shing.

$$\frac{\frac{53}{3}}{\frac{40}{3}-\left(-\frac{15}{4}\right)-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

-\frac{15}{4} ning teskarisi \frac{15}{4} ga teng.

$$\frac{\frac{53}{3}}{\frac{40}{3}+\frac{15}{4}-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{40}{3} va \frac{15}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{53}{3}}{\frac{160}{12}+\frac{45}{12}-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

\frac{160}{12} va \frac{45}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{53}{3}}{\frac{160+45}{12}-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

205 olish uchun 160 va 45'ni qo'shing.

$$\frac{\frac{53}{3}}{\frac{205}{12}-\frac{5}{16}}+\frac{2\times 8+7}{8}$$

12 va 16 ning eng kichik umumiy karralisi 48 ga teng. \frac{205}{12} va \frac{5}{16} ni 48 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{53}{3}}{\frac{820}{48}-\frac{15}{48}}+\frac{2\times 8+7}{8}$$

\frac{820}{48} va \frac{15}{48} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{53}{3}}{\frac{820-15}{48}}+\frac{2\times 8+7}{8}$$

805 olish uchun 820 dan 15 ni ayirish.

$$\frac{\frac{53}{3}}{\frac{805}{48}}+\frac{2\times 8+7}{8}$$

\frac{53}{3} ni \frac{805}{48} ga bo'lish \frac{53}{3} ga k'paytirish \frac{805}{48} ga qaytarish.

$$\frac{53}{3}\times \frac{48}{805}+\frac{2\times 8+7}{8}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{53}{3} ni \frac{48}{805} ga ko‘paytiring.

$$\frac{53\times 48}{3\times 805}+\frac{2\times 8+7}{8}$$

\frac{53\times 48}{3\times 805} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2544}{2415}+\frac{2\times 8+7}{8}$$

\frac{2544}{2415} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{848}{805}+\frac{2\times 8+7}{8}$$

16 hosil qilish uchun 2 va 8 ni ko'paytirish.

$$\frac{848}{805}+\frac{16+7}{8}$$

23 olish uchun 16 va 7'ni qo'shing.

$$\frac{848}{805}+\frac{23}{8}$$

805 va 8 ning eng kichik umumiy karralisi 6440 ga teng. \frac{848}{805} va \frac{23}{8} ni 6440 maxraj bilan kasrlarga aylantirib oling.

$$\frac{6784}{6440}+\frac{18515}{6440}$$

\frac{6784}{6440} va \frac{18515}{6440} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6784+18515}{6440}$$

25299 olish uchun 6784 va 18515'ni qo'shing.

$$\frac{25299}{6440}$$

Omil

$$\frac{3 ^ {3} \cdot 937}{2 ^ {3} \cdot 5 \cdot 7 \cdot 23} = 3\frac{5979}{6440} = 3,928416149068323$$