24/16quad3/11-7/121quad7/9 eching

$$\frac { 24 } { 16 } \quad \frac { 3 } { 11 } - \frac { 7 } { 121 } \quad \frac { 7 } { 9 }$$

Baholash

$$\frac{793}{2178}\approx 0,3640955$$

Yechim qadamlari

\frac{24}{16} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}\times \frac{3}{11}-\frac{7}{121}\times \frac{7}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{2} ni \frac{3}{11} ga ko‘paytiring.

$$\frac{3\times 3}{2\times 11}-\frac{7}{121}\times \frac{7}{9}$$

\frac{3\times 3}{2\times 11} kasridagi ko‘paytirishlarni bajaring.

$$\frac{9}{22}-\frac{7}{121}\times \frac{7}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{121} ni \frac{7}{9} ga ko‘paytiring.

$$\frac{9}{22}-\frac{7\times 7}{121\times 9}$$

\frac{7\times 7}{121\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{9}{22}-\frac{49}{1089}$$

22 va 1089 ning eng kichik umumiy karralisi 2178 ga teng. \frac{9}{22} va \frac{49}{1089} ni 2178 maxraj bilan kasrlarga aylantirib oling.

$$\frac{891}{2178}-\frac{98}{2178}$$

\frac{891}{2178} va \frac{98}{2178} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{891-98}{2178}$$

793 olish uchun 891 dan 98 ni ayirish.

$$\frac{793}{2178}$$

Omil

$$\frac{13 \cdot 61}{2 \cdot 3 ^ {2} \cdot 11 ^ {2}} = 0,3640955004591368$$