(2/7*12/3+1/7*2/3)+(frac{2}{3}*2frac{1}{4}+frac{2}{3}*frac{3}{4}) eching

$$( \frac { 2 } { 7 } \times 1 \frac { 2 } { 3 } + \frac { 1 } { 7 } \times \frac { 2 } { 3 } ) + ( \frac { 2 } { 3 } \times 2 \frac { 1 } { 4 } + \frac { 2 } { 3 } \times \frac { 3 } { 4 } )$$

Baholash

$$\frac{18}{7}\approx 2,571428571$$

Yechim qadamlari

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{2}{7}\times \frac{3+2}{3}+\frac{1}{7}\times \frac{2}{3}+\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

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

$$\frac{2}{7}\times \frac{5}{3}+\frac{1}{7}\times \frac{2}{3}+\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{7} ni \frac{5}{3} ga ko‘paytiring.

$$\frac{2\times 5}{7\times 3}+\frac{1}{7}\times \frac{2}{3}+\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

\frac{2\times 5}{7\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{10}{21}+\frac{1}{7}\times \frac{2}{3}+\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{7} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{10}{21}+\frac{1\times 2}{7\times 3}+\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

\frac{1\times 2}{7\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{10}{21}+\frac{2}{21}+\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

\frac{10}{21} va \frac{2}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{10+2}{21}+\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

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

$$\frac{12}{21}+\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

\frac{12}{21} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{7}+\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{4}{7}+\frac{2}{3}\times \frac{8+1}{4}+\frac{2}{3}\times \frac{3}{4}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{4}{7}+\frac{2}{3}\times \frac{9}{4}+\frac{2}{3}\times \frac{3}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{9}{4} ga ko‘paytiring.

$$\frac{4}{7}+\frac{2\times 9}{3\times 4}+\frac{2}{3}\times \frac{3}{4}$$

\frac{2\times 9}{3\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{4}{7}+\frac{18}{12}+\frac{2}{3}\times \frac{3}{4}$$

\frac{18}{12} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{7}+\frac{3}{2}+\frac{2}{3}\times \frac{3}{4}$$

7 va 2 ning eng kichik umumiy karralisi 14 ga teng. \frac{4}{7} va \frac{3}{2} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8}{14}+\frac{21}{14}+\frac{2}{3}\times \frac{3}{4}$$

\frac{8}{14} va \frac{21}{14} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8+21}{14}+\frac{2}{3}\times \frac{3}{4}$$

29 olish uchun 8 va 21'ni qo'shing.

$$\frac{29}{14}+\frac{2}{3}\times \frac{3}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{3}{4} ga ko‘paytiring.

$$\frac{29}{14}+\frac{2\times 3}{3\times 4}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{29}{14}+\frac{2}{4}$$

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{29}{14}+\frac{1}{2}$$

14 va 2 ning eng kichik umumiy karralisi 14 ga teng. \frac{29}{14} va \frac{1}{2} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\frac{29}{14}+\frac{7}{14}$$

\frac{29}{14} va \frac{7}{14} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{29+7}{14}$$

36 olish uchun 29 va 7'ni qo'shing.

$$\frac{36}{14}$$

\frac{36}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{18}{7}$$

Omil

$$\frac{2 \cdot 3 ^ {2}}{7} = 2\frac{4}{7} = 2,5714285714285716$$