(1/3)^2*(1-1/4)/frac{8{9}+11/3-2/3} eching

$$\frac { ( 1 / 3 ) ^ { 2 } \times ( 1 - \frac { 1 } { 4 } ) } { \frac { 8 } { 9 } + \frac { 11 } { 3 } - \frac { 2 } { 3 } }$$

Baholash

$$\frac{3}{140}\approx 0,021428571$$

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{\frac{1}{9}\left(1-\frac{1}{4}\right)}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

1 ni \frac{4}{4} kasrga o‘giring.

$$\frac{\frac{1}{9}\left(\frac{4}{4}-\frac{1}{4}\right)}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

\frac{4}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{1}{9}\times \frac{4-1}{4}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

3 olish uchun 4 dan 1 ni ayirish.

$$\frac{\frac{1}{9}\times \frac{3}{4}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{9} ni \frac{3}{4} ga ko‘paytiring.

$$\frac{\frac{1\times 3}{9\times 4}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

\frac{1\times 3}{9\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3}{36}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

\frac{3}{36} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{1}{12}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

9 va 3 ning eng kichik umumiy karralisi 9 ga teng. \frac{8}{9} va \frac{11}{3} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{1}{12}}{\frac{8}{9}+\frac{33}{9}-\frac{2}{3}}$$

\frac{8}{9} va \frac{33}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{1}{12}}{\frac{8+33}{9}-\frac{2}{3}}$$

41 olish uchun 8 va 33'ni qo'shing.

$$\frac{\frac{1}{12}}{\frac{41}{9}-\frac{2}{3}}$$

9 va 3 ning eng kichik umumiy karralisi 9 ga teng. \frac{41}{9} va \frac{2}{3} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{1}{12}}{\frac{41}{9}-\frac{6}{9}}$$

\frac{41}{9} va \frac{6}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{1}{12}}{\frac{41-6}{9}}$$

35 olish uchun 41 dan 6 ni ayirish.

$$\frac{\frac{1}{12}}{\frac{35}{9}}$$

\frac{1}{12} ni \frac{35}{9} ga bo'lish \frac{1}{12} ga k'paytirish \frac{35}{9} ga qaytarish.

$$\frac{1}{12}\times \frac{9}{35}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{12} ni \frac{9}{35} ga ko‘paytiring.

$$\frac{1\times 9}{12\times 35}$$

\frac{1\times 9}{12\times 35} kasridagi ko‘paytirishlarni bajaring.

$$\frac{9}{420}$$

\frac{9}{420} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{140}$$

Omil

$$\frac{3}{2 ^ {2} \cdot 5 \cdot 7} = 0,02142857142857143$$