41/2-32/3+1/4/2-1/5 eching

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

Baholash

$$\frac{65}{108}\approx 0,601851852$$

Yechim qadamlari

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{\frac{8+1}{2}-\frac{3\times 3+2}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{\frac{9}{2}-\frac{3\times 3+2}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$\frac{\frac{9}{2}-\frac{9+2}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

11 olish uchun 9 va 2'ni qo'shing.

$$\frac{\frac{9}{2}-\frac{11}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{9}{2} va \frac{11}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{27}{6}-\frac{22}{6}+\frac{1}{4}}{2-\frac{1}{5}}$$

\frac{27}{6} va \frac{22}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{27-22}{6}+\frac{1}{4}}{2-\frac{1}{5}}$$

5 olish uchun 27 dan 22 ni ayirish.

$$\frac{\frac{5}{6}+\frac{1}{4}}{2-\frac{1}{5}}$$

6 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{5}{6} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{10}{12}+\frac{3}{12}}{2-\frac{1}{5}}$$

\frac{10}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{10+3}{12}}{2-\frac{1}{5}}$$

13 olish uchun 10 va 3'ni qo'shing.

$$\frac{\frac{13}{12}}{2-\frac{1}{5}}$$

2 ni \frac{10}{5} kasrga o‘giring.

$$\frac{\frac{13}{12}}{\frac{10}{5}-\frac{1}{5}}$$

\frac{10}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{13}{12}}{\frac{10-1}{5}}$$

9 olish uchun 10 dan 1 ni ayirish.

$$\frac{\frac{13}{12}}{\frac{9}{5}}$$

\frac{13}{12} ni \frac{9}{5} ga bo'lish \frac{13}{12} ga k'paytirish \frac{9}{5} ga qaytarish.

$$\frac{13}{12}\times \frac{5}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{13}{12} ni \frac{5}{9} ga ko‘paytiring.

$$\frac{13\times 5}{12\times 9}$$

\frac{13\times 5}{12\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{65}{108}$$

Omil

$$\frac{5 \cdot 13}{2 ^ {2} \cdot 3 ^ {3}} = 0,6018518518518519$$