5/2-4/4/frac{2{5}+1/4} eching

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

Baholash

$$\frac{30}{13}\approx 2,307692308$$

Yechim qadamlari

1 ni olish uchun 4 ni 4 ga bo‘ling.

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

1 ni \frac{2}{2} kasrga o‘giring.

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

\frac{5}{2} va \frac{2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

3 olish uchun 5 dan 2 ni ayirish.

$$\frac{\frac{3}{2}}{\frac{2}{5}+\frac{1}{4}}$$

5 va 4 ning eng kichik umumiy karralisi 20 ga teng. \frac{2}{5} va \frac{1}{4} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{3}{2}}{\frac{8}{20}+\frac{5}{20}}$$

\frac{8}{20} va \frac{5}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3}{2}}{\frac{8+5}{20}}$$

13 olish uchun 8 va 5'ni qo'shing.

$$\frac{\frac{3}{2}}{\frac{13}{20}}$$

\frac{3}{2} ni \frac{13}{20} ga bo'lish \frac{3}{2} ga k'paytirish \frac{13}{20} ga qaytarish.

$$\frac{3}{2}\times \frac{20}{13}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{2} ni \frac{20}{13} ga ko‘paytiring.

$$\frac{3\times 20}{2\times 13}$$

\frac{3\times 20}{2\times 13} kasridagi ko‘paytirishlarni bajaring.

$$\frac{60}{26}$$

\frac{60}{26} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{30}{13}$$

Omil

$$\frac{2 \cdot 3 \cdot 5}{13} = 2\frac{4}{13} = 2,3076923076923075$$