(-213/25):(-27/10)-1725/47:(-1725/47)-4frac{3}{5} eching

$$( - 2 \frac { 13 } { 25 } ) : ( - 2 \frac { 7 } { 10 } ) - 17 \frac { 25 } { 47 } : ( - 17 \frac { 25 } { 47 } ) - 4 \frac { 3 } { 5 }$$

Baholash

$$-\frac{8}{3}\approx -2,666666667$$

Yechim qadamlari

50 hosil qilish uchun 2 va 25 ni ko'paytirish.

$$\frac{-\frac{50+13}{25}}{-\frac{2\times 10+7}{10}}-\frac{\frac{17\times 47+25}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

63 olish uchun 50 va 13'ni qo'shing.

$$\frac{-\frac{63}{25}}{-\frac{2\times 10+7}{10}}-\frac{\frac{17\times 47+25}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

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

$$\frac{-\frac{63}{25}}{-\frac{20+7}{10}}-\frac{\frac{17\times 47+25}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

27 olish uchun 20 va 7'ni qo'shing.

$$\frac{-\frac{63}{25}}{-\frac{27}{10}}-\frac{\frac{17\times 47+25}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

-\frac{63}{25} ni -\frac{27}{10} ga bo'lish -\frac{63}{25} ga k'paytirish -\frac{27}{10} ga qaytarish.

$$-\frac{63}{25}\left(-\frac{10}{27}\right)-\frac{\frac{17\times 47+25}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{63}{25} ni -\frac{10}{27} ga ko‘paytiring.

$$\frac{-63\left(-10\right)}{25\times 27}-\frac{\frac{17\times 47+25}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

\frac{-63\left(-10\right)}{25\times 27} kasridagi ko‘paytirishlarni bajaring.

$$\frac{630}{675}-\frac{\frac{17\times 47+25}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

\frac{630}{675} ulushini 45 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{14}{15}-\frac{\frac{17\times 47+25}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

799 hosil qilish uchun 17 va 47 ni ko'paytirish.

$$\frac{14}{15}-\frac{\frac{799+25}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

824 olish uchun 799 va 25'ni qo'shing.

$$\frac{14}{15}-\frac{\frac{824}{47}}{-\frac{17\times 47+25}{47}}-\frac{4\times 5+3}{5}$$

799 hosil qilish uchun 17 va 47 ni ko'paytirish.

$$\frac{14}{15}-\frac{\frac{824}{47}}{-\frac{799+25}{47}}-\frac{4\times 5+3}{5}$$

824 olish uchun 799 va 25'ni qo'shing.

$$\frac{14}{15}-\frac{\frac{824}{47}}{-\frac{824}{47}}-\frac{4\times 5+3}{5}$$

-1 ni olish uchun \frac{824}{47} ni -\frac{824}{47} ga bo‘ling.

$$\frac{14}{15}-\left(-1\right)-\frac{4\times 5+3}{5}$$

-1 ning teskarisi 1 ga teng.

$$\frac{14}{15}+1-\frac{4\times 5+3}{5}$$

1 ni \frac{15}{15} kasrga o‘giring.

$$\frac{14}{15}+\frac{15}{15}-\frac{4\times 5+3}{5}$$

\frac{14}{15} va \frac{15}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{14+15}{15}-\frac{4\times 5+3}{5}$$

29 olish uchun 14 va 15'ni qo'shing.

$$\frac{29}{15}-\frac{4\times 5+3}{5}$$

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

$$\frac{29}{15}-\frac{20+3}{5}$$

23 olish uchun 20 va 3'ni qo'shing.

$$\frac{29}{15}-\frac{23}{5}$$

15 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{29}{15} va \frac{23}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{29}{15}-\frac{69}{15}$$

\frac{29}{15} va \frac{69}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{29-69}{15}$$

-40 olish uchun 29 dan 69 ni ayirish.

$$\frac{-40}{15}$$

\frac{-40}{15} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Omil

$$-\frac{8}{3} = -2\frac{2}{3} = -2,6666666666666665$$