3/2:x=4/11:16/9 eching

$$\frac { 3 } { 2 } : x = \frac { 4 } { 11 } : \frac { 16 } { 9 }$$

x uchun yechish

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7,333333333$$

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.

$$\frac{3}{2}=x\times \frac{\frac{4}{11}}{\frac{16}{9}}$$

\frac{4}{11} ni \frac{16}{9} ga bo'lish \frac{4}{11} ga k'paytirish \frac{16}{9} ga qaytarish.

$$\frac{3}{2}=x\times \frac{4}{11}\times \frac{9}{16}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{11} ni \frac{9}{16} ga ko‘paytiring.

$$\frac{3}{2}=x\times \frac{4\times 9}{11\times 16}$$

\frac{4\times 9}{11\times 16} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3}{2}=x\times \frac{36}{176}$$

\frac{36}{176} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}=x\times \frac{9}{44}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x\times \frac{9}{44}=\frac{3}{2}$$

Ikki tarafini \frac{44}{9} va teskari kasri \frac{9}{44} ga ko‘paytiring.

$$x=\frac{3}{2}\times \frac{44}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{2} ni \frac{44}{9} ga ko‘paytiring.

$$x=\frac{3\times 44}{2\times 9}$$

\frac{3\times 44}{2\times 9} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{132}{18}$$

\frac{132}{18} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{22}{3}$$