21/2/3frac{1{3}}=s/4frac{1{4}} eching

$$\frac { 2 \frac { 1 } { 2 } } { 3 \frac { 1 } { 3 } } = \frac { s } { 4 \frac { 1 } { 4 } }$$

s uchun yechish

$$s = \frac{51}{16} = 3\frac{3}{16} = 3,1875$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

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

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{5\times 3}{2\left(3\times 3+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$\frac{15}{2\left(3\times 3+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$\frac{15}{2\left(9+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

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

$$\frac{15}{2\times 10}=\frac{s}{\frac{4\times 4+1}{4}}$$

20 hosil qilish uchun 2 va 10 ni ko'paytirish.

$$\frac{15}{20}=\frac{s}{\frac{4\times 4+1}{4}}$$

\frac{15}{20} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{4}=\frac{s}{\frac{4\times 4+1}{4}}$$

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

$$\frac{3}{4}=\frac{s\times 4}{4\times 4+1}$$

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

$$\frac{3}{4}=\frac{s\times 4}{16+1}$$

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

$$\frac{3}{4}=\frac{s\times 4}{17}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{s\times 4}{17}=\frac{3}{4}$$

Ikkala tarafini 17 ga ko‘paytiring.

$$s\times 4=\frac{3}{4}\times 17$$

\frac{3}{4}\times 17 ni yagona kasrga aylantiring.

$$s\times 4=\frac{3\times 17}{4}$$

51 hosil qilish uchun 3 va 17 ni ko'paytirish.

$$s\times 4=\frac{51}{4}$$

Ikki tarafini 4 ga bo‘ling.

$$s=\frac{\frac{51}{4}}{4}$$

\frac{\frac{51}{4}}{4} ni yagona kasrga aylantiring.

$$s=\frac{51}{4\times 4}$$

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

$$s=\frac{51}{16}$$