[(25/9-2/3):38/19-12/10]*frac{5}{1}:{[frac{14}{9}+frac{3}{2}-(frac{1}{3}+frac{2}{9})]:frac{45}{99}} eching

$$[ ( \frac { 25 } { 9 } - \frac { 2 } { 3 } ) : \frac { 38 } { 19 } - \frac { 12 } { 10 } ] \cdot \frac { 5 } { 1 } : \{ [ \frac { 14 } { 9 } + \frac { 3 } { 2 } - ( \frac { 1 } { 3 } + \frac { 2 } { 9 } ) ] : \frac { 45 } { 99 } \}$$

Baholash

$$-\frac{13}{99}\approx -0,131313131$$

Yechim qadamlari

9 va 3 ning eng kichik umumiy karralisi 9 ga teng. \frac{25}{9} va \frac{2}{3} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\left(\frac{\frac{25}{9}-\frac{6}{9}}{\frac{38}{19}}-\frac{12}{10}\right)\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

\frac{25}{9} va \frac{6}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(\frac{\frac{25-6}{9}}{\frac{38}{19}}-\frac{12}{10}\right)\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

19 olish uchun 25 dan 6 ni ayirish.

$$\frac{\left(\frac{\frac{19}{9}}{\frac{38}{19}}-\frac{12}{10}\right)\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

2 ni olish uchun 38 ni 19 ga bo‘ling.

$$\frac{\left(\frac{\frac{19}{9}}{2}-\frac{12}{10}\right)\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

\frac{\frac{19}{9}}{2} ni yagona kasrga aylantiring.

$$\frac{\left(\frac{19}{9\times 2}-\frac{12}{10}\right)\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$\frac{\left(\frac{19}{18}-\frac{12}{10}\right)\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

\frac{12}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\left(\frac{19}{18}-\frac{6}{5}\right)\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

18 va 5 ning eng kichik umumiy karralisi 90 ga teng. \frac{19}{18} va \frac{6}{5} ni 90 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\left(\frac{95}{90}-\frac{108}{90}\right)\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

\frac{95}{90} va \frac{108}{90} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{95-108}{90}\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

-13 olish uchun 95 dan 108 ni ayirish.

$$\frac{-\frac{13}{90}\times \frac{5}{1}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$\frac{-\frac{13}{90}\times 5}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

-\frac{13}{90}\times 5 ni yagona kasrga aylantiring.

$$\frac{\frac{-13\times 5}{90}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

-65 hosil qilish uchun -13 va 5 ni ko'paytirish.

$$\frac{\frac{-65}{90}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

\frac{-65}{90} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{13}{18}}{\frac{\frac{14}{9}+\frac{3}{2}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

9 va 2 ning eng kichik umumiy karralisi 18 ga teng. \frac{14}{9} va \frac{3}{2} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-\frac{13}{18}}{\frac{\frac{28}{18}+\frac{27}{18}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

\frac{28}{18} va \frac{27}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-\frac{13}{18}}{\frac{\frac{28+27}{18}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

55 olish uchun 28 va 27'ni qo'shing.

$$\frac{-\frac{13}{18}}{\frac{\frac{55}{18}-\left(\frac{1}{3}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

3 va 9 ning eng kichik umumiy karralisi 9 ga teng. \frac{1}{3} va \frac{2}{9} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-\frac{13}{18}}{\frac{\frac{55}{18}-\left(\frac{3}{9}+\frac{2}{9}\right)}{\frac{45}{99}}}$$

\frac{3}{9} va \frac{2}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-\frac{13}{18}}{\frac{\frac{55}{18}-\frac{3+2}{9}}{\frac{45}{99}}}$$

5 olish uchun 3 va 2'ni qo'shing.

$$\frac{-\frac{13}{18}}{\frac{\frac{55}{18}-\frac{5}{9}}{\frac{45}{99}}}$$

18 va 9 ning eng kichik umumiy karralisi 18 ga teng. \frac{55}{18} va \frac{5}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-\frac{13}{18}}{\frac{\frac{55}{18}-\frac{10}{18}}{\frac{45}{99}}}$$

\frac{55}{18} va \frac{10}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-\frac{13}{18}}{\frac{\frac{55-10}{18}}{\frac{45}{99}}}$$

45 olish uchun 55 dan 10 ni ayirish.

$$\frac{-\frac{13}{18}}{\frac{\frac{45}{18}}{\frac{45}{99}}}$$

\frac{45}{18} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{13}{18}}{\frac{\frac{5}{2}}{\frac{45}{99}}}$$

\frac{45}{99} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{13}{18}}{\frac{\frac{5}{2}}{\frac{5}{11}}}$$

\frac{5}{2} ni \frac{5}{11} ga bo'lish \frac{5}{2} ga k'paytirish \frac{5}{11} ga qaytarish.

$$\frac{-\frac{13}{18}}{\frac{5}{2}\times \frac{11}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{2} ni \frac{11}{5} ga ko‘paytiring.

$$\frac{-\frac{13}{18}}{\frac{5\times 11}{2\times 5}}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$\frac{-\frac{13}{18}}{\frac{11}{2}}$$

-\frac{13}{18} ni \frac{11}{2} ga bo'lish -\frac{13}{18} ga k'paytirish \frac{11}{2} ga qaytarish.

$$-\frac{13}{18}\times \frac{2}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{13}{18} ni \frac{2}{11} ga ko‘paytiring.

$$\frac{-13\times 2}{18\times 11}$$

\frac{-13\times 2}{18\times 11} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-26}{198}$$

\frac{-26}{198} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{13}{99}$$

Omil

$$-\frac{13}{99} = -0,13131313131313133$$