4:35/7=x:5/11 eching

$$4 : 3 \frac { 5 } { 7 } = x : \frac { 5 } { 11 }$$

x uchun yechish

$$x=\frac{70}{143}\approx 0,48951049$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4 ni \frac{3\times 7+5}{7} ga bo'lish 4 ga k'paytirish \frac{3\times 7+5}{7} ga qaytarish.

$$\frac{4\times 7}{3\times 7+5}=\frac{x}{\frac{5}{11}}$$

28 hosil qilish uchun 4 va 7 ni ko'paytirish.

$$\frac{28}{3\times 7+5}=\frac{x}{\frac{5}{11}}$$

21 hosil qilish uchun 3 va 7 ni ko'paytirish.

$$\frac{28}{21+5}=\frac{x}{\frac{5}{11}}$$

26 olish uchun 21 va 5'ni qo'shing.

$$\frac{28}{26}=\frac{x}{\frac{5}{11}}$$

\frac{28}{26} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{14}{13}=\frac{x}{\frac{5}{11}}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{x}{\frac{5}{11}}=\frac{14}{13}$$

Ikkala tarafini \frac{5}{11} ga ko‘paytiring.

$$x=\frac{14}{13}\times \frac{5}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{14}{13} ni \frac{5}{11} ga ko‘paytiring.

$$x=\frac{14\times 5}{13\times 11}$$

\frac{14\times 5}{13\times 11} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{70}{143}$$