(2/3-4/5)/(frac{5{4}+3/2)}div(frac{7}{2}-frac{3}{2})= eching

$$\frac { ( \frac { 2 } { 3 } - \frac { 4 } { 5 } ) } { ( \frac { 5 } { 4 } + \frac { 3 } { 2 } ) } \div ( \frac { 7 } { 2 } - \frac { 3 } { 2 } ) =$$

Baholash

$$-\frac{4}{165}\approx -0,024242424$$

Yechim qadamlari

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{2}{3} va \frac{4}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{\frac{10}{15}-\frac{12}{15}}{\frac{5}{4}+\frac{3}{2}}}{\frac{7}{2}-\frac{3}{2}}$$

\frac{10}{15} va \frac{12}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{\frac{10-12}{15}}{\frac{5}{4}+\frac{3}{2}}}{\frac{7}{2}-\frac{3}{2}}$$

-2 olish uchun 10 dan 12 ni ayirish.

$$\frac{\frac{-\frac{2}{15}}{\frac{5}{4}+\frac{3}{2}}}{\frac{7}{2}-\frac{3}{2}}$$

4 va 2 ning eng kichik umumiy karralisi 4 ga teng. \frac{5}{4} va \frac{3}{2} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{-\frac{2}{15}}{\frac{5}{4}+\frac{6}{4}}}{\frac{7}{2}-\frac{3}{2}}$$

\frac{5}{4} va \frac{6}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{-\frac{2}{15}}{\frac{5+6}{4}}}{\frac{7}{2}-\frac{3}{2}}$$

11 olish uchun 5 va 6'ni qo'shing.

$$\frac{\frac{-\frac{2}{15}}{\frac{11}{4}}}{\frac{7}{2}-\frac{3}{2}}$$

-\frac{2}{15} ni \frac{11}{4} ga bo'lish -\frac{2}{15} ga k'paytirish \frac{11}{4} ga qaytarish.

$$\frac{-\frac{2}{15}\times \frac{4}{11}}{\frac{7}{2}-\frac{3}{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{2}{15} ni \frac{4}{11} ga ko‘paytiring.

$$\frac{\frac{-2\times 4}{15\times 11}}{\frac{7}{2}-\frac{3}{2}}$$

\frac{-2\times 4}{15\times 11} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{-8}{165}}{\frac{7}{2}-\frac{3}{2}}$$

\frac{-8}{165} kasri manfiy belgini olib tashlash bilan -\frac{8}{165} sifatida qayta yozilishi mumkin.

$$\frac{-\frac{8}{165}}{\frac{7}{2}-\frac{3}{2}}$$

\frac{7}{2} va \frac{3}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-\frac{8}{165}}{\frac{7-3}{2}}$$

4 olish uchun 7 dan 3 ni ayirish.

$$\frac{-\frac{8}{165}}{\frac{4}{2}}$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$\frac{-\frac{8}{165}}{2}$$

\frac{-\frac{8}{165}}{2} ni yagona kasrga aylantiring.

$$\frac{-8}{165\times 2}$$

330 hosil qilish uchun 165 va 2 ni ko'paytirish.

$$\frac{-8}{330}$$

\frac{-8}{330} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{4}{165}$$

Omil

$$-\frac{4}{165} = -0,024242424242424242$$