43/7-27/14+37/2/6frac{2{3}+5frac{5}{9}-10frac{2}{15}} eching

$$\frac { 4 \frac { 3 } { 7 } - 2 \frac { 7 } { 14 } + 3 \frac { 7 } { 2 } } { 6 \frac { 2 } { 3 } + 5 \frac { 5 } { 9 } - 10 \frac { 2 } { 15 } }$$

Baholash

$$\frac{2655}{658}\approx 4,034954407$$

Yechim qadamlari

28 hosil qilish uchun 4 va 7 ni ko'paytirish.

$$\frac{\frac{28+3}{7}-\frac{2\times 14+7}{14}+\frac{3\times 2+7}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

31 olish uchun 28 va 3'ni qo'shing.

$$\frac{\frac{31}{7}-\frac{2\times 14+7}{14}+\frac{3\times 2+7}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

28 hosil qilish uchun 2 va 14 ni ko'paytirish.

$$\frac{\frac{31}{7}-\frac{28+7}{14}+\frac{3\times 2+7}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

35 olish uchun 28 va 7'ni qo'shing.

$$\frac{\frac{31}{7}-\frac{35}{14}+\frac{3\times 2+7}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

\frac{35}{14} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{31}{7}-\frac{5}{2}+\frac{3\times 2+7}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

7 va 2 ning eng kichik umumiy karralisi 14 ga teng. \frac{31}{7} va \frac{5}{2} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{62}{14}-\frac{35}{14}+\frac{3\times 2+7}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

\frac{62}{14} va \frac{35}{14} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{62-35}{14}+\frac{3\times 2+7}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

27 olish uchun 62 dan 35 ni ayirish.

$$\frac{\frac{27}{14}+\frac{3\times 2+7}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$\frac{\frac{27}{14}+\frac{6+7}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

13 olish uchun 6 va 7'ni qo'shing.

$$\frac{\frac{27}{14}+\frac{13}{2}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

14 va 2 ning eng kichik umumiy karralisi 14 ga teng. \frac{27}{14} va \frac{13}{2} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{27}{14}+\frac{91}{14}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

\frac{27}{14} va \frac{91}{14} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{27+91}{14}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

118 olish uchun 27 va 91'ni qo'shing.

$$\frac{\frac{118}{14}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

\frac{118}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{59}{7}}{\frac{6\times 3+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

18 hosil qilish uchun 6 va 3 ni ko'paytirish.

$$\frac{\frac{59}{7}}{\frac{18+2}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

20 olish uchun 18 va 2'ni qo'shing.

$$\frac{\frac{59}{7}}{\frac{20}{3}+\frac{5\times 9+5}{9}-\frac{10\times 15+2}{15}}$$

45 hosil qilish uchun 5 va 9 ni ko'paytirish.

$$\frac{\frac{59}{7}}{\frac{20}{3}+\frac{45+5}{9}-\frac{10\times 15+2}{15}}$$

50 olish uchun 45 va 5'ni qo'shing.

$$\frac{\frac{59}{7}}{\frac{20}{3}+\frac{50}{9}-\frac{10\times 15+2}{15}}$$

3 va 9 ning eng kichik umumiy karralisi 9 ga teng. \frac{20}{3} va \frac{50}{9} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{59}{7}}{\frac{60}{9}+\frac{50}{9}-\frac{10\times 15+2}{15}}$$

\frac{60}{9} va \frac{50}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{59}{7}}{\frac{60+50}{9}-\frac{10\times 15+2}{15}}$$

110 olish uchun 60 va 50'ni qo'shing.

$$\frac{\frac{59}{7}}{\frac{110}{9}-\frac{10\times 15+2}{15}}$$

150 hosil qilish uchun 10 va 15 ni ko'paytirish.

$$\frac{\frac{59}{7}}{\frac{110}{9}-\frac{150+2}{15}}$$

152 olish uchun 150 va 2'ni qo'shing.

$$\frac{\frac{59}{7}}{\frac{110}{9}-\frac{152}{15}}$$

9 va 15 ning eng kichik umumiy karralisi 45 ga teng. \frac{110}{9} va \frac{152}{15} ni 45 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{59}{7}}{\frac{550}{45}-\frac{456}{45}}$$

\frac{550}{45} va \frac{456}{45} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{59}{7}}{\frac{550-456}{45}}$$

94 olish uchun 550 dan 456 ni ayirish.

$$\frac{\frac{59}{7}}{\frac{94}{45}}$$

\frac{59}{7} ni \frac{94}{45} ga bo'lish \frac{59}{7} ga k'paytirish \frac{94}{45} ga qaytarish.

$$\frac{59}{7}\times \frac{45}{94}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{59}{7} ni \frac{45}{94} ga ko‘paytiring.

$$\frac{59\times 45}{7\times 94}$$

\frac{59\times 45}{7\times 94} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2655}{658}$$

Omil

$$\frac{3 ^ {2} \cdot 5 \cdot 59}{2 \cdot 7 \cdot 47} = 4\frac{23}{658} = 4,0349544072948325$$