37/11-28/19+15/31= eching

$$3 \frac { 7 } { 11 } - \frac { 28 } { 19 } + \frac { 15 } { 31 } =$$

Baholash

$$\frac{17147}{6479}\approx 2,646550394$$

Yechim qadamlari

33 hosil qilish uchun 3 va 11 ni ko'paytirish.

$$\frac{33+7}{11}-\frac{28}{19}+\frac{15}{31}$$

40 olish uchun 33 va 7'ni qo'shing.

$$\frac{40}{11}-\frac{28}{19}+\frac{15}{31}$$

11 va 19 ning eng kichik umumiy karralisi 209 ga teng. \frac{40}{11} va \frac{28}{19} ni 209 maxraj bilan kasrlarga aylantirib oling.

$$\frac{760}{209}-\frac{308}{209}+\frac{15}{31}$$

\frac{760}{209} va \frac{308}{209} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{760-308}{209}+\frac{15}{31}$$

452 olish uchun 760 dan 308 ni ayirish.

$$\frac{452}{209}+\frac{15}{31}$$

209 va 31 ning eng kichik umumiy karralisi 6479 ga teng. \frac{452}{209} va \frac{15}{31} ni 6479 maxraj bilan kasrlarga aylantirib oling.

$$\frac{14012}{6479}+\frac{3135}{6479}$$

\frac{14012}{6479} va \frac{3135}{6479} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{14012+3135}{6479}$$

17147 olish uchun 14012 va 3135'ni qo'shing.

$$\frac{17147}{6479}$$

Omil

$$\frac{13 \cdot 1319}{11 \cdot 19 \cdot 31} = 2\frac{4189}{6479} = 2,6465503935792563$$