2/3:7/11=x:14/5 eching

$$\frac { 2 } { 3 } : \frac { 7 } { 11 } = x : \frac { 14 } { 5 }$$

x uchun yechish

$$x = \frac{44}{15} = 2\frac{14}{15} \approx 2,933333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{2}{3} ni \frac{7}{11} ga bo'lish \frac{2}{3} ga k'paytirish \frac{7}{11} ga qaytarish.

$$\frac{2}{3}\times \frac{11}{7}=\frac{x}{\frac{14}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{11}{7} ga ko‘paytiring.

$$\frac{2\times 11}{3\times 7}=\frac{x}{\frac{14}{5}}$$

\frac{2\times 11}{3\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{22}{21}=\frac{x}{\frac{14}{5}}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{x}{\frac{14}{5}}=\frac{22}{21}$$

Ikkala tarafini \frac{14}{5} ga ko‘paytiring.

$$x=\frac{22}{21}\times \frac{14}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{22}{21} ni \frac{14}{5} ga ko‘paytiring.

$$x=\frac{22\times 14}{21\times 5}$$

\frac{22\times 14}{21\times 5} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{308}{105}$$

\frac{308}{105} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{44}{15}$$