4/3:22/7=x:24/5 eching

$$\frac { 4 } { 3 } : \frac { 22 } { 7 } = x : \frac { 24 } { 5 }$$

x uchun yechish

$$x = \frac{112}{55} = 2\frac{2}{55} \approx 2,036363636$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{4}{3} ni \frac{22}{7} ga bo'lish \frac{4}{3} ga k'paytirish \frac{22}{7} ga qaytarish.

$$\frac{4}{3}\times \frac{7}{22}=\frac{x}{\frac{24}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni \frac{7}{22} ga ko‘paytiring.

$$\frac{4\times 7}{3\times 22}=\frac{x}{\frac{24}{5}}$$

\frac{4\times 7}{3\times 22} kasridagi ko‘paytirishlarni bajaring.

$$\frac{28}{66}=\frac{x}{\frac{24}{5}}$$

\frac{28}{66} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{14}{33}=\frac{x}{\frac{24}{5}}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{x}{\frac{24}{5}}=\frac{14}{33}$$

Ikkala tarafini \frac{24}{5} ga ko‘paytiring.

$$x=\frac{14}{33}\times \frac{24}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{14}{33} ni \frac{24}{5} ga ko‘paytiring.

$$x=\frac{14\times 24}{33\times 5}$$

\frac{14\times 24}{33\times 5} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{336}{165}$$

\frac{336}{165} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{112}{55}$$