5/4-5/2/frac{4{5}-3/2} eching

$$\frac { \frac { 5 } { 4 } - \frac { 5 } { 2 } } { \frac { 4 } { 5 } - \frac { 3 } { 2 } }$$

Baholash

$$\frac{25}{14}\approx 1,785714286$$

Yechim qadamlari

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

$$\frac{\frac{5}{4}-\frac{10}{4}}{\frac{4}{5}-\frac{3}{2}}$$

\frac{5}{4} va \frac{10}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{5-10}{4}}{\frac{4}{5}-\frac{3}{2}}$$

-5 olish uchun 5 dan 10 ni ayirish.

$$\frac{-\frac{5}{4}}{\frac{4}{5}-\frac{3}{2}}$$

5 va 2 ning eng kichik umumiy karralisi 10 ga teng. \frac{4}{5} va \frac{3}{2} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-\frac{5}{4}}{\frac{8}{10}-\frac{15}{10}}$$

\frac{8}{10} va \frac{15}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-\frac{5}{4}}{\frac{8-15}{10}}$$

-7 olish uchun 8 dan 15 ni ayirish.

$$\frac{-\frac{5}{4}}{-\frac{7}{10}}$$

-\frac{5}{4} ni -\frac{7}{10} ga bo'lish -\frac{5}{4} ga k'paytirish -\frac{7}{10} ga qaytarish.

$$-\frac{5}{4}\left(-\frac{10}{7}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{4} ni -\frac{10}{7} ga ko‘paytiring.

$$\frac{-5\left(-10\right)}{4\times 7}$$

\frac{-5\left(-10\right)}{4\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{50}{28}$$

\frac{50}{28} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{25}{14}$$

Omil

$$\frac{5 ^ {2}}{2 \cdot 7} = 1\frac{11}{14} = 1,7857142857142858$$