45/9-(1/9+31/3) eching

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

Baholash

$$\frac{10}{9}\approx 1,111111111$$

Yechim qadamlari

36 hosil qilish uchun 4 va 9 ni ko'paytirish.

$$\frac{36+5}{9}-\left(\frac{1}{9}+\frac{3\times 3+1}{3}\right)$$

41 olish uchun 36 va 5'ni qo'shing.

$$\frac{41}{9}-\left(\frac{1}{9}+\frac{3\times 3+1}{3}\right)$$

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

$$\frac{41}{9}-\left(\frac{1}{9}+\frac{9+1}{3}\right)$$

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

$$\frac{41}{9}-\left(\frac{1}{9}+\frac{10}{3}\right)$$

9 va 3 ning eng kichik umumiy karralisi 9 ga teng. \frac{1}{9} va \frac{10}{3} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{41}{9}-\left(\frac{1}{9}+\frac{30}{9}\right)$$

\frac{1}{9} va \frac{30}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{41}{9}-\frac{1+30}{9}$$

31 olish uchun 1 va 30'ni qo'shing.

$$\frac{41}{9}-\frac{31}{9}$$

\frac{41}{9} va \frac{31}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{41-31}{9}$$

10 olish uchun 41 dan 31 ni ayirish.

$$\frac{10}{9}$$

Omil

$$\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1,1111111111111112$$