5/24*15/7+2/21*5/7 eching

$$\frac{ 5 }{ 24 } \times 1 \frac{ 5 }{ 7 } + \frac{ 2 }{ 21 } \times \frac{ 5 }{ 7 }$$

Baholash

$$\frac{125}{294}\approx 0,425170068$$

Yechim qadamlari

7 hosil qilish uchun 1 va 7 ni ko'paytirish.

$$\frac{5}{24}\times \frac{7+5}{7}+\frac{2}{21}\times \frac{5}{7}$$

12 olish uchun 7 va 5'ni qo'shing.

$$\frac{5}{24}\times \frac{12}{7}+\frac{2}{21}\times \frac{5}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{24} ni \frac{12}{7} ga ko‘paytiring.

$$\frac{5\times 12}{24\times 7}+\frac{2}{21}\times \frac{5}{7}$$

\frac{5\times 12}{24\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{60}{168}+\frac{2}{21}\times \frac{5}{7}$$

\frac{60}{168} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{14}+\frac{2}{21}\times \frac{5}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{21} ni \frac{5}{7} ga ko‘paytiring.

$$\frac{5}{14}+\frac{2\times 5}{21\times 7}$$

\frac{2\times 5}{21\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5}{14}+\frac{10}{147}$$

14 va 147 ning eng kichik umumiy karralisi 294 ga teng. \frac{5}{14} va \frac{10}{147} ni 294 maxraj bilan kasrlarga aylantirib oling.

$$\frac{105}{294}+\frac{20}{294}$$

\frac{105}{294} va \frac{20}{294} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{105+20}{294}$$

125 olish uchun 105 va 20'ni qo'shing.

$$\frac{125}{294}$$

Omil

$$\frac{5 ^ {3}}{2 \cdot 3 \cdot 7 ^ {2}} = 0,42517006802721086$$