23/5*81/3+71/6*22/5=? eching

$$2 \frac { 3 } { 5 } \times 8 \frac { 1 } { 3 } + 7 \frac { 1 } { 6 } \times 2 \frac { 2 } { 5 } = ?$$

Baholash

$$\frac{583}{15}\approx 38,866666667$$

Yechim qadamlari

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{10+3}{5}\times \frac{8\times 3+1}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

13 olish uchun 10 va 3'ni qo'shing.

$$\frac{13}{5}\times \frac{8\times 3+1}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

24 hosil qilish uchun 8 va 3 ni ko'paytirish.

$$\frac{13}{5}\times \frac{24+1}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

25 olish uchun 24 va 1'ni qo'shing.

$$\frac{13}{5}\times \frac{25}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{13}{5} ni \frac{25}{3} ga ko‘paytiring.

$$\frac{13\times 25}{5\times 3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

\frac{13\times 25}{5\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{325}{15}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

\frac{325}{15} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{65}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

42 hosil qilish uchun 7 va 6 ni ko'paytirish.

$$\frac{65}{3}+\frac{42+1}{6}\times \frac{2\times 5+2}{5}$$

43 olish uchun 42 va 1'ni qo'shing.

$$\frac{65}{3}+\frac{43}{6}\times \frac{2\times 5+2}{5}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{65}{3}+\frac{43}{6}\times \frac{10+2}{5}$$

12 olish uchun 10 va 2'ni qo'shing.

$$\frac{65}{3}+\frac{43}{6}\times \frac{12}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{43}{6} ni \frac{12}{5} ga ko‘paytiring.

$$\frac{65}{3}+\frac{43\times 12}{6\times 5}$$

\frac{43\times 12}{6\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{65}{3}+\frac{516}{30}$$

\frac{516}{30} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{65}{3}+\frac{86}{5}$$

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{65}{3} va \frac{86}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{325}{15}+\frac{258}{15}$$

\frac{325}{15} va \frac{258}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{325+258}{15}$$

583 olish uchun 325 va 258'ni qo'shing.

$$\frac{583}{15}$$

Omil

$$\frac{11 \cdot 53}{3 \cdot 5} = 38\frac{13}{15} = 38,86666666666667$$