(1/2+1/3+1/5)*10/frac{3{7}} eching

$$\frac { ( \frac { 1 } { 2 } + \frac { 1 } { 3 } + \frac { 1 } { 5 } ) \cdot 10 } { \frac { 3 } { 7 } }$$

Baholash

$$\frac{217}{9}\approx 24,111111111$$

Yechim qadamlari

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\left(\frac{3}{6}+\frac{2}{6}+\frac{1}{5}\right)\times 10}{\frac{3}{7}}$$

\frac{3}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(\frac{3+2}{6}+\frac{1}{5}\right)\times 10}{\frac{3}{7}}$$

5 olish uchun 3 va 2'ni qo'shing.

$$\frac{\left(\frac{5}{6}+\frac{1}{5}\right)\times 10}{\frac{3}{7}}$$

6 va 5 ning eng kichik umumiy karralisi 30 ga teng. \frac{5}{6} va \frac{1}{5} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\left(\frac{25}{30}+\frac{6}{30}\right)\times 10}{\frac{3}{7}}$$

\frac{25}{30} va \frac{6}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{25+6}{30}\times 10}{\frac{3}{7}}$$

31 olish uchun 25 va 6'ni qo'shing.

$$\frac{\frac{31}{30}\times 10}{\frac{3}{7}}$$

\frac{31}{30}\times 10 ni yagona kasrga aylantiring.

$$\frac{\frac{31\times 10}{30}}{\frac{3}{7}}$$

310 hosil qilish uchun 31 va 10 ni ko'paytirish.

$$\frac{\frac{310}{30}}{\frac{3}{7}}$$

\frac{310}{30} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{31}{3}}{\frac{3}{7}}$$

\frac{31}{3} ni \frac{3}{7} ga bo'lish \frac{31}{3} ga k'paytirish \frac{3}{7} ga qaytarish.

$$\frac{31}{3}\times \frac{7}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{31}{3} ni \frac{7}{3} ga ko‘paytiring.

$$\frac{31\times 7}{3\times 3}$$

\frac{31\times 7}{3\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{217}{9}$$

Omil

$$\frac{7 \cdot 31}{3 ^ {2}} = 24\frac{1}{9} = 24,11111111111111$$