272/3-1585/6+2084/9=? eching

$$27 \frac { 2 } { 3 } - 158 \frac { 5 } { 6 } + 208 \frac { 4 } { 9 } = ?$$

Baholash

$$\frac{1391}{18}\approx 77,277777778$$

Yechim qadamlari

81 hosil qilish uchun 27 va 3 ni ko'paytirish.

$$\frac{81+2}{3}-\frac{158\times 6+5}{6}+\frac{208\times 9+4}{9}$$

83 olish uchun 81 va 2'ni qo'shing.

$$\frac{83}{3}-\frac{158\times 6+5}{6}+\frac{208\times 9+4}{9}$$

948 hosil qilish uchun 158 va 6 ni ko'paytirish.

$$\frac{83}{3}-\frac{948+5}{6}+\frac{208\times 9+4}{9}$$

953 olish uchun 948 va 5'ni qo'shing.

$$\frac{83}{3}-\frac{953}{6}+\frac{208\times 9+4}{9}$$

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{83}{3} va \frac{953}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{166}{6}-\frac{953}{6}+\frac{208\times 9+4}{9}$$

\frac{166}{6} va \frac{953}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{166-953}{6}+\frac{208\times 9+4}{9}$$

-787 olish uchun 166 dan 953 ni ayirish.

$$-\frac{787}{6}+\frac{208\times 9+4}{9}$$

1872 hosil qilish uchun 208 va 9 ni ko'paytirish.

$$-\frac{787}{6}+\frac{1872+4}{9}$$

1876 olish uchun 1872 va 4'ni qo'shing.

$$-\frac{787}{6}+\frac{1876}{9}$$

6 va 9 ning eng kichik umumiy karralisi 18 ga teng. -\frac{787}{6} va \frac{1876}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{2361}{18}+\frac{3752}{18}$$

-\frac{2361}{18} va \frac{3752}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-2361+3752}{18}$$

1391 olish uchun -2361 va 3752'ni qo'shing.

$$\frac{1391}{18}$$

Omil

$$\frac{13 \cdot 107}{2 \cdot 3 ^ {2}} = 77\frac{5}{18} = 77,27777777777777$$