2/3*(2-51/2div214/15) eching

$$\frac{ 2 }{ 3 } \times (2- 5 \frac { 1 } { 2 } \div 2 \frac { 14 } { 15 } )$$

Baholash

$$\frac{1}{12}\approx 0,083333333$$

Yechim qadamlari

\frac{5\times 2+1}{2} ni \frac{2\times 15+14}{15} ga bo'lish \frac{5\times 2+1}{2} ga k'paytirish \frac{2\times 15+14}{15} ga qaytarish.

$$\frac{2}{3}\left(2-\frac{\left(5\times 2+1\right)\times 15}{2\left(2\times 15+14\right)}\right)$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{2}{3}\left(2-\frac{\left(10+1\right)\times 15}{2\left(2\times 15+14\right)}\right)$$

11 olish uchun 10 va 1'ni qo'shing.

$$\frac{2}{3}\left(2-\frac{11\times 15}{2\left(2\times 15+14\right)}\right)$$

165 hosil qilish uchun 11 va 15 ni ko'paytirish.

$$\frac{2}{3}\left(2-\frac{165}{2\left(2\times 15+14\right)}\right)$$

30 hosil qilish uchun 2 va 15 ni ko'paytirish.

$$\frac{2}{3}\left(2-\frac{165}{2\left(30+14\right)}\right)$$

44 olish uchun 30 va 14'ni qo'shing.

$$\frac{2}{3}\left(2-\frac{165}{2\times 44}\right)$$

88 hosil qilish uchun 2 va 44 ni ko'paytirish.

$$\frac{2}{3}\left(2-\frac{165}{88}\right)$$

\frac{165}{88} ulushini 11 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}\left(2-\frac{15}{8}\right)$$

2 ni \frac{16}{8} kasrga o‘giring.

$$\frac{2}{3}\left(\frac{16}{8}-\frac{15}{8}\right)$$

\frac{16}{8} va \frac{15}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2}{3}\times \frac{16-15}{8}$$

1 olish uchun 16 dan 15 ni ayirish.

$$\frac{2}{3}\times \frac{1}{8}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{1}{8} ga ko‘paytiring.

$$\frac{2\times 1}{3\times 8}$$

\frac{2\times 1}{3\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{24}$$

\frac{2}{24} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{12}$$

Omil

$$\frac{1}{2 ^ {2} \cdot 3} = 0,08333333333333333$$