1/x=1/2+1/3

Question

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1/x=1/2+1/3

Method required this is what I did but im not sure it's correct:

1/x=5/6(common denominator)

6(1/x)=5

6/x=5/1

x=6/5

Point out any errors please

Guest Sep 2, 2014

+118703

+5

Best Answer

I think that this is a much simpler way

$\\\frac{1}{x}=\frac{5}{6}\\\\ \frac{x}{1}=\frac{6}{5}\qquad \mbox{I just took the reciprocal of both sides}\\\\ x=\frac{6}{5}\\\\ x=1\frac{1}{5}$

Melody Sep 3, 2014

Melody · Answer 1 · 2014-09-03T12:39:52

I think that this is a much simpler way

$\\\frac{1}{x}=\frac{5}{6}\\\\ \frac{x}{1}=\frac{6}{5}\qquad \mbox{I just took the reciprocal of both sides}\\\\ x=\frac{6}{5}\\\\ x=1\frac{1}{5}$

AzizHusain · Answer 2 · 2014-09-03T12:12:52

1/2 + 1/3 = 3/6 + 2/6 = 5/6.

1/(6/5) = 1 * 5/6 = 5/6.

There are no errors.