(7/9+5/6-1/4)*2 eching

$$( \frac { 7 } { 9 } + \frac { 5 } { 6 } - \frac { 1 } { 4 } ) \times 2$$

Baholash

$$\frac{49}{18}\approx 2,722222222$$

Yechim qadamlari

9 va 6 ning eng kichik umumiy karralisi 18 ga teng. \frac{7}{9} va \frac{5}{6} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{14}{18}+\frac{15}{18}-\frac{1}{4}\right)\times 2$$

\frac{14}{18} va \frac{15}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\left(\frac{14+15}{18}-\frac{1}{4}\right)\times 2$$

29 olish uchun 14 va 15'ni qo'shing.

$$\left(\frac{29}{18}-\frac{1}{4}\right)\times 2$$

18 va 4 ning eng kichik umumiy karralisi 36 ga teng. \frac{29}{18} va \frac{1}{4} ni 36 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{58}{36}-\frac{9}{36}\right)\times 2$$

\frac{58}{36} va \frac{9}{36} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{58-9}{36}\times 2$$

49 olish uchun 58 dan 9 ni ayirish.

$$\frac{49}{36}\times 2$$

\frac{49}{36}\times 2 ni yagona kasrga aylantiring.

$$\frac{49\times 2}{36}$$

98 hosil qilish uchun 49 va 2 ni ko'paytirish.

$$\frac{98}{36}$$

\frac{98}{36} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{49}{18}$$

Omil

$$\frac{7 ^ {2}}{2 \cdot 3 ^ {2}} = 2\frac{13}{18} = 2,7222222222222223$$