71/2:41/2=x:3/25 eching

$$7 \frac { 1 } { 2 } : 4 \frac { 1 } { 2 } = x : \frac { 3 } { 25 }$$

x uchun yechish

$$x=\frac{1}{5}=0,2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$\frac{\left(7\times 2+1\right)\times 2}{2\left(4\times 2+1\right)}=\frac{x}{\frac{3}{25}}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{1+2\times 7}{1+2\times 4}=\frac{x}{\frac{3}{25}}$$

14 hosil qilish uchun 2 va 7 ni ko'paytirish.

$$\frac{1+14}{1+2\times 4}=\frac{x}{\frac{3}{25}}$$

15 olish uchun 1 va 14'ni qo'shing.

$$\frac{15}{1+2\times 4}=\frac{x}{\frac{3}{25}}$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{15}{1+8}=\frac{x}{\frac{3}{25}}$$

9 olish uchun 1 va 8'ni qo'shing.

$$\frac{15}{9}=\frac{x}{\frac{3}{25}}$$

\frac{15}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{3}=\frac{x}{\frac{3}{25}}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{x}{\frac{3}{25}}=\frac{5}{3}$$

Ikkala tarafini \frac{3}{25} ga ko‘paytiring.

$$x=\frac{5}{3}\times \frac{3}{25}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{3} ni \frac{3}{25} ga ko‘paytiring.

$$x=\frac{5\times 3}{3\times 25}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$x=\frac{5}{25}$$

\frac{5}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{1}{5}$$