(1/2+2/3-3/3)*(2+1/3-2frac{1}{4}) eching

$$( \frac { 1 } { 2 } + \frac { 2 } { 3 } - \frac { 3 } { 3 } ) * ( 2 + \frac { 1 } { 3 } - 2 \frac { 1 } { 4 } )$$

Baholash

$$\frac{1}{72}\approx 0,013888889$$

Yechim qadamlari

1 ni olish uchun 3 ni 3 ga bo‘ling.

$$\left(\frac{1}{2}+\frac{2}{3}-1\right)\left(2+\frac{1}{3}-\frac{2\times 4+1}{4}\right)$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{2}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{3}{6}+\frac{4}{6}-1\right)\left(2+\frac{1}{3}-\frac{2\times 4+1}{4}\right)$$

\frac{3}{6} va \frac{4}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\left(\frac{3+4}{6}-1\right)\left(2+\frac{1}{3}-\frac{2\times 4+1}{4}\right)$$

7 olish uchun 3 va 4'ni qo'shing.

$$\left(\frac{7}{6}-1\right)\left(2+\frac{1}{3}-\frac{2\times 4+1}{4}\right)$$

1 ni \frac{6}{6} kasrga o‘giring.

$$\left(\frac{7}{6}-\frac{6}{6}\right)\left(2+\frac{1}{3}-\frac{2\times 4+1}{4}\right)$$

\frac{7}{6} va \frac{6}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{7-6}{6}\left(2+\frac{1}{3}-\frac{2\times 4+1}{4}\right)$$

1 olish uchun 7 dan 6 ni ayirish.

$$\frac{1}{6}\left(2+\frac{1}{3}-\frac{2\times 4+1}{4}\right)$$

2 ni \frac{6}{3} kasrga o‘giring.

$$\frac{1}{6}\left(\frac{6}{3}+\frac{1}{3}-\frac{2\times 4+1}{4}\right)$$

\frac{6}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{6}\left(\frac{6+1}{3}-\frac{2\times 4+1}{4}\right)$$

7 olish uchun 6 va 1'ni qo'shing.

$$\frac{1}{6}\left(\frac{7}{3}-\frac{2\times 4+1}{4}\right)$$

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

$$\frac{1}{6}\left(\frac{7}{3}-\frac{8+1}{4}\right)$$

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

$$\frac{1}{6}\left(\frac{7}{3}-\frac{9}{4}\right)$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{7}{3} va \frac{9}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{6}\left(\frac{28}{12}-\frac{27}{12}\right)$$

\frac{28}{12} va \frac{27}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{6}\times \frac{28-27}{12}$$

1 olish uchun 28 dan 27 ni ayirish.

$$\frac{1}{6}\times \frac{1}{12}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{6} ni \frac{1}{12} ga ko‘paytiring.

$$\frac{1\times 1}{6\times 12}$$

\frac{1\times 1}{6\times 12} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{72}$$

Omil

$$\frac{1}{2 ^ {3} \cdot 3 ^ {2}} = 0,013888888888888888$$