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

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

Baholash

$$\frac{2}{7}\approx 0,285714286$$

Yechim qadamlari

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Surat va maxrajdagi ikkala 3 ni qisqartiring.

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

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

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

\frac{3}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

4 olish uchun 3 va 1'ni qo'shing.

$$\frac{\frac{4}{7}}{\frac{4}{2}}$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$\frac{\frac{4}{7}}{2}$$

\frac{\frac{4}{7}}{2} ni yagona kasrga aylantiring.

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

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$\frac{4}{14}$$

\frac{4}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{7}$$

Omil

$$\frac{2}{7} = 0,2857142857142857$$