2-frac{1/3/frac{3{4}}+1+2/3/frac{1{4}}}{1-frac{1}{2}}*frac{9}{40} eching

$$\frac { \frac { 2 - \frac { 1 } { 3 } } { \frac { 3 } { 4 } } + \frac { 1 + \frac { 2 } { 3 } } { \frac { 1 } { 4 } } } { 1 - \frac { 1 } { 2 } } \times \frac { 9 } { 40 }$$

Baholash

$$4$$

Yechim qadamlari

2 ni \frac{6}{3} kasrga o‘giring.

$$\frac{\frac{\frac{6}{3}-\frac{1}{3}}{\frac{3}{4}}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

\frac{6}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{\frac{6-1}{3}}{\frac{3}{4}}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

5 olish uchun 6 dan 1 ni ayirish.

$$\frac{\frac{\frac{5}{3}}{\frac{3}{4}}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

\frac{5}{3} ni \frac{3}{4} ga bo'lish \frac{5}{3} ga k'paytirish \frac{3}{4} ga qaytarish.

$$\frac{\frac{5}{3}\times \frac{4}{3}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{3} ni \frac{4}{3} ga ko‘paytiring.

$$\frac{\frac{5\times 4}{3\times 3}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

\frac{5\times 4}{3\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{20}{9}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

1 ni \frac{3}{3} kasrga o‘giring.

$$\frac{\frac{20}{9}+\frac{\frac{3}{3}+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

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

$$\frac{\frac{20}{9}+\frac{\frac{3+2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

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

$$\frac{\frac{20}{9}+\frac{\frac{5}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

\frac{5}{3} ni \frac{1}{4} ga bo'lish \frac{5}{3} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\frac{\frac{20}{9}+\frac{5}{3}\times 4}{1-\frac{1}{2}}\times \frac{9}{40}$$

\frac{5}{3}\times 4 ni yagona kasrga aylantiring.

$$\frac{\frac{20}{9}+\frac{5\times 4}{3}}{1-\frac{1}{2}}\times \frac{9}{40}$$

20 hosil qilish uchun 5 va 4 ni ko'paytirish.

$$\frac{\frac{20}{9}+\frac{20}{3}}{1-\frac{1}{2}}\times \frac{9}{40}$$

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

$$\frac{\frac{20}{9}+\frac{60}{9}}{1-\frac{1}{2}}\times \frac{9}{40}$$

\frac{20}{9} va \frac{60}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{20+60}{9}}{1-\frac{1}{2}}\times \frac{9}{40}$$

80 olish uchun 20 va 60'ni qo'shing.

$$\frac{\frac{80}{9}}{1-\frac{1}{2}}\times \frac{9}{40}$$

1 ni \frac{2}{2} kasrga o‘giring.

$$\frac{\frac{80}{9}}{\frac{2}{2}-\frac{1}{2}}\times \frac{9}{40}$$

\frac{2}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{80}{9}}{\frac{2-1}{2}}\times \frac{9}{40}$$

1 olish uchun 2 dan 1 ni ayirish.

$$\frac{\frac{80}{9}}{\frac{1}{2}}\times \frac{9}{40}$$

\frac{80}{9} ni \frac{1}{2} ga bo'lish \frac{80}{9} ga k'paytirish \frac{1}{2} ga qaytarish.

$$\frac{80}{9}\times 2\times \frac{9}{40}$$

\frac{80}{9}\times 2 ni yagona kasrga aylantiring.

$$\frac{80\times 2}{9}\times \frac{9}{40}$$

160 hosil qilish uchun 80 va 2 ni ko'paytirish.

$$\frac{160}{9}\times \frac{9}{40}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{160}{9} ni \frac{9}{40} ga ko‘paytiring.

$$\frac{160\times 9}{9\times 40}$$

Surat va maxrajdagi ikkala 9 ni qisqartiring.

$$\frac{160}{40}$$

4 ni olish uchun 160 ni 40 ga bo‘ling.

$$4$$

Omil

$$2^{2}$$