24/9:(2/3-2/7) eching

$$2 \frac { 4 } { 9 } : ( \frac { 2 } { 3 } - \frac { 2 } { 7 } )$$

Baholash

$$\frac{77}{12}\approx 6,416666667$$

Yechim qadamlari

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$\frac{\frac{18+4}{9}}{\frac{2}{3}-\frac{2}{7}}$$

22 olish uchun 18 va 4'ni qo'shing.

$$\frac{\frac{22}{9}}{\frac{2}{3}-\frac{2}{7}}$$

3 va 7 ning eng kichik umumiy karralisi 21 ga teng. \frac{2}{3} va \frac{2}{7} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{22}{9}}{\frac{14}{21}-\frac{6}{21}}$$

\frac{14}{21} va \frac{6}{21} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{22}{9}}{\frac{14-6}{21}}$$

8 olish uchun 14 dan 6 ni ayirish.

$$\frac{\frac{22}{9}}{\frac{8}{21}}$$

\frac{22}{9} ni \frac{8}{21} ga bo'lish \frac{22}{9} ga k'paytirish \frac{8}{21} ga qaytarish.

$$\frac{22}{9}\times \frac{21}{8}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{22}{9} ni \frac{21}{8} ga ko‘paytiring.

$$\frac{22\times 21}{9\times 8}$$

\frac{22\times 21}{9\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{462}{72}$$

\frac{462}{72} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{77}{12}$$

Omil

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 3} = 6\frac{5}{12} = 6,416666666666667$$