2/3*(2-51/2div24/4/15) eching

$$\frac { 2 } { 3 } \times ( 2 - 5 \frac { 1 } { 2 } \div 2 \frac { 4 / 4 } { 15 } )$$

Baholash

$$\frac{109}{90}\approx 1,211111111$$

Yechim qadamlari

1 ni olish uchun 4 ni 4 ga bo‘ling.

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

\frac{\frac{5\times 2+1}{2}}{2} ni yagona kasrga aylantiring.

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

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

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

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

$$\frac{2}{3}\left(2-\frac{11}{2\times 2}\times \frac{1}{15}\right)$$

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

$$\frac{2}{3}\left(2-\frac{11}{4}\times \frac{1}{15}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{11}{4} ni \frac{1}{15} ga ko‘paytiring.

$$\frac{2}{3}\left(2-\frac{11\times 1}{4\times 15}\right)$$

\frac{11\times 1}{4\times 15} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{3}\left(2-\frac{11}{60}\right)$$

2 ni \frac{120}{60} kasrga o‘giring.

$$\frac{2}{3}\left(\frac{120}{60}-\frac{11}{60}\right)$$

\frac{120}{60} va \frac{11}{60} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2}{3}\times \frac{120-11}{60}$$

109 olish uchun 120 dan 11 ni ayirish.

$$\frac{2}{3}\times \frac{109}{60}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{109}{60} ga ko‘paytiring.

$$\frac{2\times 109}{3\times 60}$$

\frac{2\times 109}{3\times 60} kasridagi ko‘paytirishlarni bajaring.

$$\frac{218}{180}$$

\frac{218}{180} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{109}{90}$$

Omil

$$\frac{109}{2 \cdot 3 ^ {2} \cdot 5} = 1\frac{19}{90} = 1,211111111111111$$