6/9+4^2/18-3/6+12/3= eching

$$\frac { 6 } { 9 } + \frac { 4 ^ { 2 } } { 18 } - \frac { 3 } { 6 } + \frac { 12 } { 3 } =$$

Baholash

$$\frac{91}{18}\approx 5,055555556$$

Yechim qadamlari

\frac{6}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}+\frac{4^{2}}{18}-\frac{3}{6}+\frac{12}{3}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{2}{3}+\frac{16}{18}-\frac{3}{6}+\frac{12}{3}$$

\frac{16}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}+\frac{8}{9}-\frac{3}{6}+\frac{12}{3}$$

3 va 9 ning eng kichik umumiy karralisi 9 ga teng. \frac{2}{3} va \frac{8}{9} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{6}{9}+\frac{8}{9}-\frac{3}{6}+\frac{12}{3}$$

\frac{6}{9} va \frac{8}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6+8}{9}-\frac{3}{6}+\frac{12}{3}$$

14 olish uchun 6 va 8'ni qo'shing.

$$\frac{14}{9}-\frac{3}{6}+\frac{12}{3}$$

\frac{3}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{14}{9}-\frac{1}{2}+\frac{12}{3}$$

9 va 2 ning eng kichik umumiy karralisi 18 ga teng. \frac{14}{9} va \frac{1}{2} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{28}{18}-\frac{9}{18}+\frac{12}{3}$$

\frac{28}{18} va \frac{9}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{28-9}{18}+\frac{12}{3}$$

19 olish uchun 28 dan 9 ni ayirish.

$$\frac{19}{18}+\frac{12}{3}$$

4 ni olish uchun 12 ni 3 ga bo‘ling.

$$\frac{19}{18}+4$$

4 ni \frac{72}{18} kasrga o‘giring.

$$\frac{19}{18}+\frac{72}{18}$$

\frac{19}{18} va \frac{72}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{19+72}{18}$$

91 olish uchun 19 va 72'ni qo'shing.

$$\frac{91}{18}$$

Omil

$$\frac{7 \cdot 13}{2 \cdot 3 ^ {2}} = 5\frac{1}{18} = 5,055555555555555$$