n/4frac{1{5}}=62/7/3frac{1{4}} eching

$$\frac { n } { 4 \frac { 1 } { 5 } } = \frac { 6 \frac { 2 } { 7 } } { 3 \frac { 1 } { 4 } }$$

n uchun yechish

$$n = \frac{528}{65} = 8\frac{8}{65} \approx 8,123076923$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

n ni \frac{4\times 5+1}{5} ga bo'lish n ga k'paytirish \frac{4\times 5+1}{5} ga qaytarish.

$$\frac{n\times 5}{4\times 5+1}=\frac{\frac{6\times 7+2}{7}}{\frac{3\times 4+1}{4}}$$

20 hosil qilish uchun 4 va 5 ni ko'paytirish.

$$\frac{n\times 5}{20+1}=\frac{\frac{6\times 7+2}{7}}{\frac{3\times 4+1}{4}}$$

21 olish uchun 20 va 1'ni qo'shing.

$$\frac{n\times 5}{21}=\frac{\frac{6\times 7+2}{7}}{\frac{3\times 4+1}{4}}$$

\frac{6\times 7+2}{7} ni \frac{3\times 4+1}{4} ga bo'lish \frac{6\times 7+2}{7} ga k'paytirish \frac{3\times 4+1}{4} ga qaytarish.

$$\frac{n\times 5}{21}=\frac{\left(6\times 7+2\right)\times 4}{7\left(3\times 4+1\right)}$$

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

$$\frac{n\times 5}{21}=\frac{\left(42+2\right)\times 4}{7\left(3\times 4+1\right)}$$

44 olish uchun 42 va 2'ni qo'shing.

$$\frac{n\times 5}{21}=\frac{44\times 4}{7\left(3\times 4+1\right)}$$

176 hosil qilish uchun 44 va 4 ni ko'paytirish.

$$\frac{n\times 5}{21}=\frac{176}{7\left(3\times 4+1\right)}$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{n\times 5}{21}=\frac{176}{7\left(12+1\right)}$$

13 olish uchun 12 va 1'ni qo'shing.

$$\frac{n\times 5}{21}=\frac{176}{7\times 13}$$

91 hosil qilish uchun 7 va 13 ni ko'paytirish.

$$\frac{n\times 5}{21}=\frac{176}{91}$$

Ikkala tarafini 21 ga ko‘paytiring.

$$n\times 5=\frac{176}{91}\times 21$$

\frac{176}{91}\times 21 ni yagona kasrga aylantiring.

$$n\times 5=\frac{176\times 21}{91}$$

3696 hosil qilish uchun 176 va 21 ni ko'paytirish.

$$n\times 5=\frac{3696}{91}$$

\frac{3696}{91} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$n\times 5=\frac{528}{13}$$

Ikki tarafini 5 ga bo‘ling.

$$n=\frac{\frac{528}{13}}{5}$$

\frac{\frac{528}{13}}{5} ni yagona kasrga aylantiring.

$$n=\frac{528}{13\times 5}$$

65 hosil qilish uchun 13 va 5 ni ko'paytirish.

$$n=\frac{528}{65}$$