6:x=11/15:2/3 eching

$$6 : x = 1 \frac { 1 } { 15 } : \frac { 2 } { 3 }$$

x uchun yechish

$$x = \frac{15}{4} = 3\frac{3}{4} = 3,75$$

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.

$$6=x\times \frac{\frac{1\times 15+1}{15}}{\frac{2}{3}}$$

15 hosil qilish uchun 1 va 15 ni ko'paytirish.

$$6=x\times \frac{\frac{15+1}{15}}{\frac{2}{3}}$$

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

$$6=x\times \frac{\frac{16}{15}}{\frac{2}{3}}$$

\frac{16}{15} ni \frac{2}{3} ga bo'lish \frac{16}{15} ga k'paytirish \frac{2}{3} ga qaytarish.

$$6=x\times \frac{16}{15}\times \frac{3}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{16}{15} ni \frac{3}{2} ga ko‘paytiring.

$$6=x\times \frac{16\times 3}{15\times 2}$$

\frac{16\times 3}{15\times 2} kasridagi ko‘paytirishlarni bajaring.

$$6=x\times \frac{48}{30}$$

\frac{48}{30} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$6=x\times \frac{8}{5}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x\times \frac{8}{5}=6$$

Ikki tarafini \frac{5}{8} va teskari kasri \frac{8}{5} ga ko‘paytiring.

$$x=6\times \frac{5}{8}$$

6\times \frac{5}{8} ni yagona kasrga aylantiring.

$$x=\frac{6\times 5}{8}$$

30 hosil qilish uchun 6 va 5 ni ko'paytirish.

$$x=\frac{30}{8}$$

\frac{30}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{15}{4}$$