7/8+11/4-3/2*frac{4/9}{2frac{1}{2}-1frac{1}{10}+frac{1}{14}*frac{7}{5}} eching

$$\frac { \frac { 7 } { 8 } + 1 \frac { 1 } { 4 } - \frac { 3 } { 2 } \times \frac { 4 } { 9 } } { 2 \frac { 1 } { 2 } - 1 \frac { 1 } { 10 } + \frac { 1 } { 14 } \times \frac { 7 } { 5 } }$$

Baholash

$$\frac{35}{36}\approx 0,972222222$$

Yechim qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{\frac{7}{8}+\frac{4+1}{4}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{\frac{7}{8}+\frac{5}{4}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

8 va 4 ning eng kichik umumiy karralisi 8 ga teng. \frac{7}{8} va \frac{5}{4} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{7}{8}+\frac{10}{8}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

\frac{7}{8} va \frac{10}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{7+10}{8}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

17 olish uchun 7 va 10'ni qo'shing.

$$\frac{\frac{17}{8}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{2} ni \frac{4}{9} ga ko‘paytiring.

$$\frac{\frac{17}{8}-\frac{3\times 4}{2\times 9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

\frac{3\times 4}{2\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{17}{8}-\frac{12}{18}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

\frac{12}{18} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{17}{8}-\frac{2}{3}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

8 va 3 ning eng kichik umumiy karralisi 24 ga teng. \frac{17}{8} va \frac{2}{3} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{51}{24}-\frac{16}{24}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

\frac{51}{24} va \frac{16}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{51-16}{24}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

35 olish uchun 51 dan 16 ni ayirish.

$$\frac{\frac{35}{24}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$\frac{\frac{35}{24}}{\frac{4+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{\frac{35}{24}}{\frac{5}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

10 hosil qilish uchun 1 va 10 ni ko'paytirish.

$$\frac{\frac{35}{24}}{\frac{5}{2}-\frac{10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

11 olish uchun 10 va 1'ni qo'shing.

$$\frac{\frac{35}{24}}{\frac{5}{2}-\frac{11}{10}+\frac{1}{14}\times \frac{7}{5}}$$

2 va 10 ning eng kichik umumiy karralisi 10 ga teng. \frac{5}{2} va \frac{11}{10} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{35}{24}}{\frac{25}{10}-\frac{11}{10}+\frac{1}{14}\times \frac{7}{5}}$$

\frac{25}{10} va \frac{11}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{35}{24}}{\frac{25-11}{10}+\frac{1}{14}\times \frac{7}{5}}$$

14 olish uchun 25 dan 11 ni ayirish.

$$\frac{\frac{35}{24}}{\frac{14}{10}+\frac{1}{14}\times \frac{7}{5}}$$

\frac{14}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{35}{24}}{\frac{7}{5}+\frac{1}{14}\times \frac{7}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{14} ni \frac{7}{5} ga ko‘paytiring.

$$\frac{\frac{35}{24}}{\frac{7}{5}+\frac{1\times 7}{14\times 5}}$$

\frac{1\times 7}{14\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{35}{24}}{\frac{7}{5}+\frac{7}{70}}$$

\frac{7}{70} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{35}{24}}{\frac{7}{5}+\frac{1}{10}}$$

5 va 10 ning eng kichik umumiy karralisi 10 ga teng. \frac{7}{5} va \frac{1}{10} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{35}{24}}{\frac{14}{10}+\frac{1}{10}}$$

\frac{14}{10} va \frac{1}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{35}{24}}{\frac{14+1}{10}}$$

15 olish uchun 14 va 1'ni qo'shing.

$$\frac{\frac{35}{24}}{\frac{15}{10}}$$

\frac{15}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{35}{24}}{\frac{3}{2}}$$

\frac{35}{24} ni \frac{3}{2} ga bo'lish \frac{35}{24} ga k'paytirish \frac{3}{2} ga qaytarish.

$$\frac{35}{24}\times \frac{2}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{35}{24} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{35\times 2}{24\times 3}$$

\frac{35\times 2}{24\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{70}{72}$$

\frac{70}{72} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{35}{36}$$

Omil

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3 ^ {2}} = 0,9722222222222222$$