(frac{2}3^2+8/9):(2-1/3)= eching

$$( \frac { 2 } { 3 } ^ { 2 } + \frac { 8 } { 9 } ) : ( 2 - \frac { 1 } { 3 } ) =$$

Baholash

$$\frac{4}{5}=0,8$$

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{4}{9} ni qiymatni oling.

$$\frac{\frac{4}{9}+\frac{8}{9}}{2-\frac{1}{3}}$$

\frac{4}{9} va \frac{8}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4+8}{9}}{2-\frac{1}{3}}$$

12 olish uchun 4 va 8'ni qo'shing.

$$\frac{\frac{12}{9}}{2-\frac{1}{3}}$$

\frac{12}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{4}{3}}{2-\frac{1}{3}}$$

2 ni \frac{6}{3} kasrga o‘giring.

$$\frac{\frac{4}{3}}{\frac{6}{3}-\frac{1}{3}}$$

\frac{6}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4}{3}}{\frac{6-1}{3}}$$

5 olish uchun 6 dan 1 ni ayirish.

$$\frac{\frac{4}{3}}{\frac{5}{3}}$$

\frac{4}{3} ni \frac{5}{3} ga bo'lish \frac{4}{3} ga k'paytirish \frac{5}{3} ga qaytarish.

$$\frac{4}{3}\times \frac{3}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni \frac{3}{5} ga ko‘paytiring.

$$\frac{4\times 3}{3\times 5}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{4}{5}$$

Omil

$$\frac{2 ^ {2}}{5} = 0,8$$