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

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

Solvi għal x

$$x = \frac{1254}{25} = 50\frac{4}{25} = 50.16$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas il-frazzjoni \frac{20}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 20.

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

Naqqas il-frazzjoni \frac{20}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 20.

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

Ikkonverti 100 fi frazzjoni \frac{500}{5}.

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

Billi \frac{500}{5} u \frac{1}{5} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Żid 500 u 1 biex tikseb 501.

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

Naqqas il-frazzjoni \frac{16}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

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

Iddividi kull terminu ta' 6+\frac{1}{5}x b'\frac{501}{5} biex tikseb\frac{6}{\frac{501}{5}}+\frac{\frac{1}{5}x}{\frac{501}{5}}.

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

Iddividi 6 b'\frac{501}{5} billi timmultiplika 6 bir-reċiproku ta' \frac{501}{5}.

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

Esprimi 6\times \frac{5}{501} bħala frazzjoni waħda.

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

Immultiplika 6 u 5 biex tikseb 30.

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

Naqqas il-frazzjoni \frac{30}{501} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

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

Iddividi \frac{1}{5}x b'\frac{501}{5} biex tikseb\frac{1}{501}x.

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

Naqqas \frac{10}{167} miż-żewġ naħat.

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

L-inqas multipli komuni ta' 25 u 167 huwa 4175. Ikkonverti \frac{4}{25} u \frac{10}{167} fi frazzjonijiet bid-denominatur 4175.

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

Billi \frac{668}{4175} u \frac{250}{4175} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Naqqas 250 minn 668 biex tikseb 418.

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

Immultiplika ż-żewġ naħat b'501, ir-reċiproku ta' \frac{1}{501}.

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

Esprimi \frac{418}{4175}\times 501 bħala frazzjoni waħda.

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

Immultiplika 418 u 501 biex tikseb 209418.

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

Naqqas il-frazzjoni \frac{209418}{4175} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 167.

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