a/frac{1{2}}=1280/frac{1{2}+1/5+1/10} eching

$$\frac { a } { \frac { 1 } { 2 } } = \frac { 1280 } { \frac { 1 } { 2 } + \frac { 1 } { 5 } + \frac { 1 } { 10 } }$$

a uchun yechish

$$a=800$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 va 5 ning eng kichik umumiy karralisi 10 ga teng. \frac{1}{2} va \frac{1}{5} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{5}{10}+\frac{2}{10}+\frac{1}{10}}$$

\frac{5}{10} va \frac{2}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{5+2}{10}+\frac{1}{10}}$$

7 olish uchun 5 va 2'ni qo'shing.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{7}{10}+\frac{1}{10}}$$

\frac{7}{10} va \frac{1}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{7+1}{10}}$$

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

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{8}{10}}$$

\frac{8}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{4}{5}}$$

1280 ni \frac{4}{5} ga bo'lish 1280 ga k'paytirish \frac{4}{5} ga qaytarish.

$$\frac{a}{\frac{1}{2}}=1280\times \frac{5}{4}$$

1280\times \frac{5}{4} ni yagona kasrga aylantiring.

$$\frac{a}{\frac{1}{2}}=\frac{1280\times 5}{4}$$

6400 hosil qilish uchun 1280 va 5 ni ko'paytirish.

$$\frac{a}{\frac{1}{2}}=\frac{6400}{4}$$

1600 ni olish uchun 6400 ni 4 ga bo‘ling.

$$\frac{a}{\frac{1}{2}}=1600$$

Ikkala tarafini \frac{1}{2} ga ko‘paytiring.

$$a=1600\times \frac{1}{2}$$

\frac{1600}{2} hosil qilish uchun 1600 va \frac{1}{2} ni ko'paytirish.

$$a=\frac{1600}{2}$$

800 ni olish uchun 1600 ni 2 ga bo‘ling.

$$a=800$$