[31/4div{11/4-1/2(21/2-frac{1}{4}-frac{1}{6})}]div(frac{1}{2}text{of}4frac{1}{3}) eching

$$[ 3 \frac { 1 } { 4 } \div \{ 1 \frac { 1 } { 4 } - \frac { 1 } { 2 } ( 2 \frac { 1 } { 2 } - \frac { 1 } { 4 } - \frac { 1 } { 6 } ) \} ] \div ( \frac { 1 } { 2 } \text { of } 4 \frac { 1 } { 3 } )$$

Baholash

$$\frac{36}{5}=7,2$$

Yechim qadamlari

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{\frac{\frac{12+1}{4}}{\frac{1\times 4+1}{4}-\frac{1}{2}\left(\frac{2\times 2+1}{2}-\frac{1}{4}-\frac{1}{6}\right)}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

13 olish uchun 12 va 1'ni qo'shing.

$$\frac{\frac{\frac{13}{4}}{\frac{1\times 4+1}{4}-\frac{1}{2}\left(\frac{2\times 2+1}{2}-\frac{1}{4}-\frac{1}{6}\right)}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

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

$$\frac{\frac{\frac{13}{4}}{\frac{4+1}{4}-\frac{1}{2}\left(\frac{2\times 2+1}{2}-\frac{1}{4}-\frac{1}{6}\right)}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

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

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

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

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

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

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

2 va 4 ning eng kichik umumiy karralisi 4 ga teng. \frac{5}{2} va \frac{1}{4} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{\frac{13}{4}}{\frac{5}{4}-\frac{1}{2}\left(\frac{10}{4}-\frac{1}{4}-\frac{1}{6}\right)}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

\frac{10}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{\frac{13}{4}}{\frac{5}{4}-\frac{1}{2}\left(\frac{10-1}{4}-\frac{1}{6}\right)}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

9 olish uchun 10 dan 1 ni ayirish.

$$\frac{\frac{\frac{13}{4}}{\frac{5}{4}-\frac{1}{2}\left(\frac{9}{4}-\frac{1}{6}\right)}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

4 va 6 ning eng kichik umumiy karralisi 12 ga teng. \frac{9}{4} va \frac{1}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{\frac{13}{4}}{\frac{5}{4}-\frac{1}{2}\left(\frac{27}{12}-\frac{2}{12}\right)}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

\frac{27}{12} va \frac{2}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{\frac{13}{4}}{\frac{5}{4}-\frac{1}{2}\times \frac{27-2}{12}}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

25 olish uchun 27 dan 2 ni ayirish.

$$\frac{\frac{\frac{13}{4}}{\frac{5}{4}-\frac{1}{2}\times \frac{25}{12}}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{25}{12} ga ko‘paytiring.

$$\frac{\frac{\frac{13}{4}}{\frac{5}{4}-\frac{1\times 25}{2\times 12}}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

\frac{1\times 25}{2\times 12} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{\frac{13}{4}}{\frac{5}{4}-\frac{25}{24}}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

4 va 24 ning eng kichik umumiy karralisi 24 ga teng. \frac{5}{4} va \frac{25}{24} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{\frac{13}{4}}{\frac{30}{24}-\frac{25}{24}}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

\frac{30}{24} va \frac{25}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{\frac{13}{4}}{\frac{30-25}{24}}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

5 olish uchun 30 dan 25 ni ayirish.

$$\frac{\frac{\frac{13}{4}}{\frac{5}{24}}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

\frac{13}{4} ni \frac{5}{24} ga bo'lish \frac{13}{4} ga k'paytirish \frac{5}{24} ga qaytarish.

$$\frac{\frac{13}{4}\times \frac{24}{5}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{13}{4} ni \frac{24}{5} ga ko‘paytiring.

$$\frac{\frac{13\times 24}{4\times 5}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

\frac{13\times 24}{4\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{312}{20}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

\frac{312}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{78}{5}}{\frac{1}{2}\times \frac{4\times 3+1}{3}}$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$\frac{\frac{78}{5}}{\frac{1}{2}\times \frac{12+1}{3}}$$

13 olish uchun 12 va 1'ni qo'shing.

$$\frac{\frac{78}{5}}{\frac{1}{2}\times \frac{13}{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{13}{3} ga ko‘paytiring.

$$\frac{\frac{78}{5}}{\frac{1\times 13}{2\times 3}}$$

\frac{1\times 13}{2\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{78}{5}}{\frac{13}{6}}$$

\frac{78}{5} ni \frac{13}{6} ga bo'lish \frac{78}{5} ga k'paytirish \frac{13}{6} ga qaytarish.

$$\frac{78}{5}\times \frac{6}{13}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{78}{5} ni \frac{6}{13} ga ko‘paytiring.

$$\frac{78\times 6}{5\times 13}$$

\frac{78\times 6}{5\times 13} kasridagi ko‘paytirishlarni bajaring.

$$\frac{468}{65}$$

\frac{468}{65} ulushini 13 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{36}{5}$$

Omil

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7,2$$