5/6:3/16=x:9/4 eching

$$\frac { 5 } { 6 } : \frac { 3 } { 16 } = x : \frac { 9 } { 4 }$$

x uchun yechish

$$x=10$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{5}{6} ni \frac{3}{16} ga bo'lish \frac{5}{6} ga k'paytirish \frac{3}{16} ga qaytarish.

$$\frac{5}{6}\times \frac{16}{3}=\frac{x}{\frac{9}{4}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{6} ni \frac{16}{3} ga ko‘paytiring.

$$\frac{5\times 16}{6\times 3}=\frac{x}{\frac{9}{4}}$$

\frac{5\times 16}{6\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{80}{18}=\frac{x}{\frac{9}{4}}$$

\frac{80}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{40}{9}=\frac{x}{\frac{9}{4}}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{x}{\frac{9}{4}}=\frac{40}{9}$$

Ikkala tarafini \frac{9}{4} ga ko‘paytiring.

$$x=\frac{40}{9}\times \frac{9}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{40}{9} ni \frac{9}{4} ga ko‘paytiring.

$$x=\frac{40\times 9}{9\times 4}$$

Surat va maxrajdagi ikkala 9 ni qisqartiring.

$$x=\frac{40}{4}$$

10 ni olish uchun 40 ni 4 ga bo‘ling.

$$x=10$$