31/2/4frac{3{4}}=181/2/n eching

$$\frac { 3 \frac { 1 } { 2 } } { 4 \frac { 3 } { 4 } } = \frac { 18 \frac { 1 } { 2 } } { n }$$

n uchun yechish

$$n = \frac{703}{28} = 25\frac{3}{28} \approx 25,107142857$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$\frac{4}{19}n\times \frac{3\times 2+1}{2}=\frac{18\times 2+1}{2}$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$\frac{4}{19}n\times \frac{6+1}{2}=\frac{18\times 2+1}{2}$$

7 olish uchun 6 va 1'ni qo'shing.

$$\frac{4}{19}n\times \frac{7}{2}=\frac{18\times 2+1}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{19} ni \frac{7}{2} ga ko‘paytiring.

$$\frac{4\times 7}{19\times 2}n=\frac{18\times 2+1}{2}$$

\frac{4\times 7}{19\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{28}{38}n=\frac{18\times 2+1}{2}$$

\frac{28}{38} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{14}{19}n=\frac{18\times 2+1}{2}$$

36 hosil qilish uchun 18 va 2 ni ko'paytirish.

$$\frac{14}{19}n=\frac{36+1}{2}$$

37 olish uchun 36 va 1'ni qo'shing.

$$\frac{14}{19}n=\frac{37}{2}$$

Ikki tarafini \frac{19}{14} va teskari kasri \frac{14}{19} ga ko‘paytiring.

$$n=\frac{37}{2}\times \frac{19}{14}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{37}{2} ni \frac{19}{14} ga ko‘paytiring.

$$n=\frac{37\times 19}{2\times 14}$$

\frac{37\times 19}{2\times 14} kasridagi ko‘paytirishlarni bajaring.

$$n=\frac{703}{28}$$