2/3:1/2=5/6:x eching

$$\frac { 2 } { 3 } : \frac { 1 } { 2 } = \frac { 5 } { 6 } : x$$

x uchun yechish

$$x=\frac{5}{8}=0,625$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$x\times \frac{\frac{2}{3}}{\frac{1}{2}}=\frac{5}{6}$$

\frac{2}{3} ni \frac{1}{2} ga bo'lish \frac{2}{3} ga k'paytirish \frac{1}{2} ga qaytarish.

$$x\times \frac{2}{3}\times 2=\frac{5}{6}$$

\frac{2}{3}\times 2 ni yagona kasrga aylantiring.

$$x\times \frac{2\times 2}{3}=\frac{5}{6}$$

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

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

Ikki tarafini \frac{3}{4} va teskari kasri \frac{4}{3} ga ko‘paytiring.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{6} ni \frac{3}{4} ga ko‘paytiring.

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

\frac{5\times 3}{6\times 4} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{15}{24}$$

\frac{15}{24} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{5}{8}$$