(6/5-1+12/5)(1/5-1/4+frac{7}{2}-frac{8}{3}) eching

$$( \frac { 6 } { 5 } - 1 + \frac { 12 } { 5 } ) ( \frac { 1 } { 5 } - \frac { 1 } { 4 } + \frac { 7 } { 2 } - \frac { 8 } { 3 } )$$

Baholash

$$\frac{611}{300}\approx 2,036666667$$

Yechim qadamlari

1 ni \frac{5}{5} kasrga o‘giring.

$$\left(\frac{6}{5}-\frac{5}{5}+\frac{12}{5}\right)\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

\frac{6}{5} va \frac{5}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{6-5}{5}+\frac{12}{5}\right)\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

1 olish uchun 6 dan 5 ni ayirish.

$$\left(\frac{1}{5}+\frac{12}{5}\right)\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

\frac{1}{5} va \frac{12}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+12}{5}\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

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

$$\frac{13}{5}\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

5 va 4 ning eng kichik umumiy karralisi 20 ga teng. \frac{1}{5} va \frac{1}{4} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{13}{5}\left(\frac{4}{20}-\frac{5}{20}+\frac{7}{2}-\frac{8}{3}\right)$$

\frac{4}{20} va \frac{5}{20} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{13}{5}\left(\frac{4-5}{20}+\frac{7}{2}-\frac{8}{3}\right)$$

-1 olish uchun 4 dan 5 ni ayirish.

$$\frac{13}{5}\left(-\frac{1}{20}+\frac{7}{2}-\frac{8}{3}\right)$$

20 va 2 ning eng kichik umumiy karralisi 20 ga teng. -\frac{1}{20} va \frac{7}{2} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{13}{5}\left(-\frac{1}{20}+\frac{70}{20}-\frac{8}{3}\right)$$

-\frac{1}{20} va \frac{70}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{13}{5}\left(\frac{-1+70}{20}-\frac{8}{3}\right)$$

69 olish uchun -1 va 70'ni qo'shing.

$$\frac{13}{5}\left(\frac{69}{20}-\frac{8}{3}\right)$$

20 va 3 ning eng kichik umumiy karralisi 60 ga teng. \frac{69}{20} va \frac{8}{3} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{13}{5}\left(\frac{207}{60}-\frac{160}{60}\right)$$

\frac{207}{60} va \frac{160}{60} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{13}{5}\times \frac{207-160}{60}$$

47 olish uchun 207 dan 160 ni ayirish.

$$\frac{13}{5}\times \frac{47}{60}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{13}{5} ni \frac{47}{60} ga ko‘paytiring.

$$\frac{13\times 47}{5\times 60}$$

\frac{13\times 47}{5\times 60} kasridagi ko‘paytirishlarni bajaring.

$$\frac{611}{300}$$

Omil

$$\frac{13 \cdot 47}{2 ^ {2} \cdot 3 \cdot 5 ^ {2}} = 2\frac{11}{300} = 2,0366666666666666$$