58/10div(13/6-25/90+7/90-frac{3}{90})+(frac{26}{10}+frac{2}{9}*frac{36}{10})divfrac{34}{90}= eching

$$\frac{ 58 }{ 10 } \div ( \frac{ 13 }{ 6 } - \frac{ 25 }{ 90 } + \frac{ 7 }{ 90 } - \frac{ 3 }{ 90 } )+( \frac{ 26 }{ 10 } + \frac{ 2 }{ 9 } \times \frac{ 36 }{ 10 } ) \div \frac{ 34 }{ 90 } =$$

Baholash

$$12$$

Yechim qadamlari

\frac{58}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{29}{5}}{\frac{13}{6}-\frac{25}{90}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{25}{90} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{29}{5}}{\frac{13}{6}-\frac{5}{18}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

6 va 18 ning eng kichik umumiy karralisi 18 ga teng. \frac{13}{6} va \frac{5}{18} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{29}{5}}{\frac{39}{18}-\frac{5}{18}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{39}{18} va \frac{5}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{29}{5}}{\frac{39-5}{18}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

34 olish uchun 39 dan 5 ni ayirish.

$$\frac{\frac{29}{5}}{\frac{34}{18}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{34}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{29}{5}}{\frac{17}{9}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

9 va 90 ning eng kichik umumiy karralisi 90 ga teng. \frac{17}{9} va \frac{7}{90} ni 90 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{29}{5}}{\frac{170}{90}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{170}{90} va \frac{7}{90} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{29}{5}}{\frac{170+7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

177 olish uchun 170 va 7'ni qo'shing.

$$\frac{\frac{29}{5}}{\frac{177}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{177}{90} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{29}{5}}{\frac{59}{30}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{3}{90} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{29}{5}}{\frac{59}{30}-\frac{1}{30}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{59}{30} va \frac{1}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{29}{5}}{\frac{59-1}{30}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

58 olish uchun 59 dan 1 ni ayirish.

$$\frac{\frac{29}{5}}{\frac{58}{30}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{58}{30} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{29}{5}}{\frac{29}{15}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{29}{5} ni \frac{29}{15} ga bo'lish \frac{29}{5} ga k'paytirish \frac{29}{15} ga qaytarish.

$$\frac{29}{5}\times \frac{15}{29}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{29}{5} ni \frac{15}{29} ga ko‘paytiring.

$$\frac{29\times 15}{5\times 29}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Surat va maxrajdagi ikkala 29 ni qisqartiring.

$$\frac{15}{5}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

3 ni olish uchun 15 ni 5 ga bo‘ling.

$$3+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{26}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$3+\frac{\frac{13}{5}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

\frac{36}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$3+\frac{\frac{13}{5}+\frac{2}{9}\times \frac{18}{5}}{\frac{34}{90}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{9} ni \frac{18}{5} ga ko‘paytiring.

$$3+\frac{\frac{13}{5}+\frac{2\times 18}{9\times 5}}{\frac{34}{90}}$$

\frac{2\times 18}{9\times 5} kasridagi ko‘paytirishlarni bajaring.

$$3+\frac{\frac{13}{5}+\frac{36}{45}}{\frac{34}{90}}$$

\frac{36}{45} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$3+\frac{\frac{13}{5}+\frac{4}{5}}{\frac{34}{90}}$$

\frac{13}{5} va \frac{4}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$3+\frac{\frac{13+4}{5}}{\frac{34}{90}}$$

17 olish uchun 13 va 4'ni qo'shing.

$$3+\frac{\frac{17}{5}}{\frac{34}{90}}$$

\frac{34}{90} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$3+\frac{\frac{17}{5}}{\frac{17}{45}}$$

\frac{17}{5} ni \frac{17}{45} ga bo'lish \frac{17}{5} ga k'paytirish \frac{17}{45} ga qaytarish.

$$3+\frac{17}{5}\times \frac{45}{17}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{17}{5} ni \frac{45}{17} ga ko‘paytiring.

$$3+\frac{17\times 45}{5\times 17}$$

Surat va maxrajdagi ikkala 17 ni qisqartiring.

$$3+\frac{45}{5}$$

9 ni olish uchun 45 ni 5 ga bo‘ling.

$$3+9$$

12 olish uchun 3 va 9'ni qo'shing.

$$12$$

Omil

$$2^{2}\times 3$$