{2-[(1+4/3):(14/8*2)]}:{[(2^3-3/5)-(13/2-frac{3}{4})]:[(frac{3}{2}):frac{1}{2}-frac{17}{5}]} eching

$$\{ 2 - [ ( 1 + \frac { 4 } { 3 } ) : ( \frac { 14 } { 8 } \cdot 2 ) ] \} : \{ [ ( 2 ^ { 3 } - \frac { 3 } { 5 } ) - ( \frac { 13 } { 2 } - \frac { 3 } { 4 } ) ] : [ ( \frac { 3 } { 2 } ) : \frac { 1 } { 2 } - \frac { 17 } { 5 } ] \}$$

Baholash

$$-\frac{32}{99}\approx -0,323232323$$

Yechim qadamlari

1 ni \frac{3}{3} kasrga o‘giring.

$$\frac{2-\frac{\frac{3}{3}+\frac{4}{3}}{\frac{14}{8}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{3}{3} va \frac{4}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2-\frac{\frac{3+4}{3}}{\frac{14}{8}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

7 olish uchun 3 va 4'ni qo'shing.

$$\frac{2-\frac{\frac{7}{3}}{\frac{14}{8}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{14}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2-\frac{\frac{7}{3}}{\frac{7}{4}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{7}{4}\times 2 ni yagona kasrga aylantiring.

$$\frac{2-\frac{\frac{7}{3}}{\frac{7\times 2}{4}}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$\frac{2-\frac{\frac{7}{3}}{\frac{14}{4}}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{14}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2-\frac{\frac{7}{3}}{\frac{7}{2}}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{7}{3} ni \frac{7}{2} ga bo'lish \frac{7}{3} ga k'paytirish \frac{7}{2} ga qaytarish.

$$\frac{2-\frac{7}{3}\times \frac{2}{7}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{3} ni \frac{2}{7} ga ko‘paytiring.

$$\frac{2-\frac{7\times 2}{3\times 7}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Surat va maxrajdagi ikkala 7 ni qisqartiring.

$$\frac{2-\frac{2}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

2 ni \frac{6}{3} kasrga o‘giring.

$$\frac{\frac{6}{3}-\frac{2}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{6}{3} va \frac{2}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{6-2}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

4 olish uchun 6 dan 2 ni ayirish.

$$\frac{\frac{4}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{\frac{4}{3}}{\frac{8-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

8 ni \frac{40}{5} kasrga o‘giring.

$$\frac{\frac{4}{3}}{\frac{\frac{40}{5}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{40}{5} va \frac{3}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4}{3}}{\frac{\frac{40-3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

37 olish uchun 40 dan 3 ni ayirish.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

2 va 4 ning eng kichik umumiy karralisi 4 ga teng. \frac{13}{2} va \frac{3}{4} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\left(\frac{26}{4}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{26}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\frac{26-3}{4}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

23 olish uchun 26 dan 3 ni ayirish.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\frac{23}{4}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

5 va 4 ning eng kichik umumiy karralisi 20 ga teng. \frac{37}{5} va \frac{23}{4} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4}{3}}{\frac{\frac{148}{20}-\frac{115}{20}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{148}{20} va \frac{115}{20} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4}{3}}{\frac{\frac{148-115}{20}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

33 olish uchun 148 dan 115 ni ayirish.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

\frac{3}{2} ni \frac{1}{2} ga bo'lish \frac{3}{2} ga k'paytirish \frac{1}{2} ga qaytarish.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{3}{2}\times 2-\frac{17}{5}}}$$

2 va 2 ni qisqartiring.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{3-\frac{17}{5}}}$$

3 ni \frac{15}{5} kasrga o‘giring.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{15}{5}-\frac{17}{5}}}$$

\frac{15}{5} va \frac{17}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{15-17}{5}}}$$

-2 olish uchun 15 dan 17 ni ayirish.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{-\frac{2}{5}}}$$

\frac{33}{20} ni -\frac{2}{5} ga bo'lish \frac{33}{20} ga k'paytirish -\frac{2}{5} ga qaytarish.

$$\frac{\frac{4}{3}}{\frac{33}{20}\left(-\frac{5}{2}\right)}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{33}{20} ni -\frac{5}{2} ga ko‘paytiring.

$$\frac{\frac{4}{3}}{\frac{33\left(-5\right)}{20\times 2}}$$

\frac{33\left(-5\right)}{20\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{4}{3}}{\frac{-165}{40}}$$

\frac{-165}{40} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{4}{3}}{-\frac{33}{8}}$$

\frac{4}{3} ni -\frac{33}{8} ga bo'lish \frac{4}{3} ga k'paytirish -\frac{33}{8} ga qaytarish.

$$\frac{4}{3}\left(-\frac{8}{33}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni -\frac{8}{33} ga ko‘paytiring.

$$\frac{4\left(-8\right)}{3\times 33}$$

\frac{4\left(-8\right)}{3\times 33} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-32}{99}$$

\frac{-32}{99} kasri manfiy belgini olib tashlash bilan -\frac{32}{99} sifatida qayta yozilishi mumkin.

$$-\frac{32}{99}$$

Omil

$$-\frac{32}{99} = -0,32323232323232326$$