31/4:(7/8-2/3)-2*11/4 eching

$$3 \frac { 1 } { 4 } : ( \frac { 7 } { 8 } - \frac { 2 } { 3 } ) - 2 \cdot 1 \frac { 1 } { 4 }$$

Baholash

$$\frac{131}{10}=13,1$$

Yechim qadamlari

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

$$\frac{\frac{12+1}{4}}{\frac{7}{8}-\frac{2}{3}}-2\times \frac{1\times 4+1}{4}$$

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

$$\frac{\frac{13}{4}}{\frac{7}{8}-\frac{2}{3}}-2\times \frac{1\times 4+1}{4}$$

8 va 3 ning eng kichik umumiy karralisi 24 ga teng. \frac{7}{8} va \frac{2}{3} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{13}{4}}{\frac{21}{24}-\frac{16}{24}}-2\times \frac{1\times 4+1}{4}$$

\frac{21}{24} va \frac{16}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{13}{4}}{\frac{21-16}{24}}-2\times \frac{1\times 4+1}{4}$$

5 olish uchun 21 dan 16 ni ayirish.

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

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

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

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

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

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

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

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

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

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

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

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

$$\frac{78}{5}-2\times \frac{5}{4}$$

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

$$\frac{78}{5}-\frac{2\times 5}{4}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{78}{5}-\frac{10}{4}$$

\frac{10}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{78}{5}-\frac{5}{2}$$

5 va 2 ning eng kichik umumiy karralisi 10 ga teng. \frac{78}{5} va \frac{5}{2} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{156}{10}-\frac{25}{10}$$

\frac{156}{10} va \frac{25}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{156-25}{10}$$

131 olish uchun 156 dan 25 ni ayirish.

$$\frac{131}{10}$$

Omil

$$\frac{131}{2 \cdot 5} = 13\frac{1}{10} = 13,1$$