17/3-19/3+8/7*4/5+frac{11}{5}+frac{11}{4} eching

$$\frac { 17 } { 3 } - \frac { 19 } { 3 } + \frac { 8 } { 7 } \times \frac { 4 } { 5 } + \frac { 11 } { 5 } + \frac { 11 } { 4 }$$

Baholash

$$\frac{2183}{420}\approx 5,197619048$$

Yechim qadamlari

\frac{17}{3} va \frac{19}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{17-19}{3}+\frac{8}{7}\times \frac{4}{5}+\frac{11}{5}+\frac{11}{4}$$

-2 olish uchun 17 dan 19 ni ayirish.

$$-\frac{2}{3}+\frac{8}{7}\times \frac{4}{5}+\frac{11}{5}+\frac{11}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{7} ni \frac{4}{5} ga ko‘paytiring.

$$-\frac{2}{3}+\frac{8\times 4}{7\times 5}+\frac{11}{5}+\frac{11}{4}$$

\frac{8\times 4}{7\times 5} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{2}{3}+\frac{32}{35}+\frac{11}{5}+\frac{11}{4}$$

3 va 35 ning eng kichik umumiy karralisi 105 ga teng. -\frac{2}{3} va \frac{32}{35} ni 105 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{70}{105}+\frac{96}{105}+\frac{11}{5}+\frac{11}{4}$$

-\frac{70}{105} va \frac{96}{105} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-70+96}{105}+\frac{11}{5}+\frac{11}{4}$$

26 olish uchun -70 va 96'ni qo'shing.

$$\frac{26}{105}+\frac{11}{5}+\frac{11}{4}$$

105 va 5 ning eng kichik umumiy karralisi 105 ga teng. \frac{26}{105} va \frac{11}{5} ni 105 maxraj bilan kasrlarga aylantirib oling.

$$\frac{26}{105}+\frac{231}{105}+\frac{11}{4}$$

\frac{26}{105} va \frac{231}{105} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{26+231}{105}+\frac{11}{4}$$

257 olish uchun 26 va 231'ni qo'shing.

$$\frac{257}{105}+\frac{11}{4}$$

105 va 4 ning eng kichik umumiy karralisi 420 ga teng. \frac{257}{105} va \frac{11}{4} ni 420 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1028}{420}+\frac{1155}{420}$$

\frac{1028}{420} va \frac{1155}{420} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1028+1155}{420}$$

2183 olish uchun 1028 va 1155'ni qo'shing.

$$\frac{2183}{420}$$

Omil

$$\frac{37 \cdot 59}{2 ^ {2} \cdot 3 \cdot 5 \cdot 7} = 5\frac{83}{420} = 5,197619047619048$$