Question

(x/4)+(1/2)=1/8

Fractions
ANSWERED
asked 2021-08-17
\(\displaystyle{\left(\frac{{x}}{{4}}\right)}+{\left(\frac{{1}}{{2}}\right)}=\frac{{1}}{{8}}\)

Expert Answers (1)

2021-08-18
We are given: \(\displaystyle{\left(\frac{{x}}{{4}}\right)}+{\left(\frac{{1}}{{2}}\right)}=\frac{{1}}{{8}}\)
Multiply both sides by the LCD which is 8: \(\displaystyle{\left({\left(\frac{{x}}{{4}}\right)}+{\left(\frac{{1}}{{2}}\right)}\right)}{\left({8}\right)}=\frac{{1}}{{8}}{\left({8}\right)}\)
2x+4=1
Subtract 4 from both sides: 2x+4-4=1-4
2x=-3
Divide both sides by 2: \(\displaystyle{2}\frac{{x}}{{2}}=-\frac{{3}}{{2}}\)
\(\displaystyle{x}=-{\left(\frac{{3}}{{2}}\right)}\)
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