929/24-(5/24-4/9) eching

$$9 \frac { 29 } { 24 } - ( \frac { 5 } { 24 } - \frac { 4 } { 9 } )$$

Baholash

$$\frac{94}{9}\approx 10,444444444$$

Yechim qadamlari

216 hosil qilish uchun 9 va 24 ni ko'paytirish.

$$\frac{216+29}{24}-\left(\frac{5}{24}-\frac{4}{9}\right)$$

245 olish uchun 216 va 29'ni qo'shing.

$$\frac{245}{24}-\left(\frac{5}{24}-\frac{4}{9}\right)$$

24 va 9 ning eng kichik umumiy karralisi 72 ga teng. \frac{5}{24} va \frac{4}{9} ni 72 maxraj bilan kasrlarga aylantirib oling.

$$\frac{245}{24}-\left(\frac{15}{72}-\frac{32}{72}\right)$$

\frac{15}{72} va \frac{32}{72} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{245}{24}-\frac{15-32}{72}$$

-17 olish uchun 15 dan 32 ni ayirish.

$$\frac{245}{24}-\left(-\frac{17}{72}\right)$$

-\frac{17}{72} ning teskarisi \frac{17}{72} ga teng.

$$\frac{245}{24}+\frac{17}{72}$$

24 va 72 ning eng kichik umumiy karralisi 72 ga teng. \frac{245}{24} va \frac{17}{72} ni 72 maxraj bilan kasrlarga aylantirib oling.

$$\frac{735}{72}+\frac{17}{72}$$

\frac{735}{72} va \frac{17}{72} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{735+17}{72}$$

752 olish uchun 735 va 17'ni qo'shing.

$$\frac{752}{72}$$

\frac{752}{72} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{94}{9}$$

Omil

$$\frac{2 \cdot 47}{3 ^ {2}} = 10\frac{4}{9} = 10,444444444444445$$