6+20/100x/100+frac{20{100}}=16/100 eching

$$\frac { 6 + \frac { 20 } { 100 } x } { 100 + \frac { 20 } { 100 } } = \frac { 16 } { 100 }$$

x uchun yechish

$$x = \frac{1254}{25} = 50\frac{4}{25} = 50,16$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{20}{100} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6+\frac{1}{5}x}{100+\frac{20}{100}}=\frac{16}{100}$$

\frac{20}{100} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6+\frac{1}{5}x}{100+\frac{1}{5}}=\frac{16}{100}$$

100 ni \frac{500}{5} kasrga o‘giring.

$$\frac{6+\frac{1}{5}x}{\frac{500}{5}+\frac{1}{5}}=\frac{16}{100}$$

\frac{500}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6+\frac{1}{5}x}{\frac{500+1}{5}}=\frac{16}{100}$$

501 olish uchun 500 va 1'ni qo'shing.

$$\frac{6+\frac{1}{5}x}{\frac{501}{5}}=\frac{16}{100}$$

\frac{16}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6+\frac{1}{5}x}{\frac{501}{5}}=\frac{4}{25}$$

\frac{6}{\frac{501}{5}}+\frac{\frac{1}{5}x}{\frac{501}{5}} natijani olish uchun 6+\frac{1}{5}x ning har bir ifodasini \frac{501}{5} ga bo‘ling.

$$\frac{6}{\frac{501}{5}}+\frac{\frac{1}{5}x}{\frac{501}{5}}=\frac{4}{25}$$

6 ni \frac{501}{5} ga bo'lish 6 ga k'paytirish \frac{501}{5} ga qaytarish.

$$6\times \frac{5}{501}+\frac{\frac{1}{5}x}{\frac{501}{5}}=\frac{4}{25}$$

6\times \frac{5}{501} ni yagona kasrga aylantiring.

$$\frac{6\times 5}{501}+\frac{\frac{1}{5}x}{\frac{501}{5}}=\frac{4}{25}$$

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

$$\frac{30}{501}+\frac{\frac{1}{5}x}{\frac{501}{5}}=\frac{4}{25}$$

\frac{30}{501} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{10}{167}+\frac{\frac{1}{5}x}{\frac{501}{5}}=\frac{4}{25}$$

\frac{1}{501}x ni olish uchun \frac{1}{5}x ni \frac{501}{5} ga bo‘ling.

$$\frac{10}{167}+\frac{1}{501}x=\frac{4}{25}$$

Ikkala tarafdan \frac{10}{167} ni ayirish.

$$\frac{1}{501}x=\frac{4}{25}-\frac{10}{167}$$

25 va 167 ning eng kichik umumiy karralisi 4175 ga teng. \frac{4}{25} va \frac{10}{167} ni 4175 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{501}x=\frac{668}{4175}-\frac{250}{4175}$$

\frac{668}{4175} va \frac{250}{4175} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{501}x=\frac{668-250}{4175}$$

418 olish uchun 668 dan 250 ni ayirish.

$$\frac{1}{501}x=\frac{418}{4175}$$

Ikki tarafini 501 va teskari kasri \frac{1}{501} ga ko‘paytiring.

$$x=\frac{418}{4175}\times 501$$

\frac{418}{4175}\times 501 ni yagona kasrga aylantiring.

$$x=\frac{418\times 501}{4175}$$

209418 hosil qilish uchun 418 va 501 ni ko'paytirish.

$$x=\frac{209418}{4175}$$

\frac{209418}{4175} ulushini 167 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{1254}{25}$$