What is the answer to 1/3+1/2 = 1/x ?

The answer to 1/3+1/2 = 1/x is x= 6/5

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1/3+1/2 = 1/x

\frac{1}{3} + \frac{1}{2} = \frac{1}{x}

x = \frac{6}{5}

Decimal Notation

x = 1.2

Solution steps

\frac{1}{3} + \frac{1}{2} = \frac{1}{x}

Multiply both sides by

x

\frac{5}{6} x = 1

Multiply both sides by

6

5 x = 6

Divide both sides by

5

x = \frac{6}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{6}{5}

\frac{2}{x + 5} = \frac{4}{x}

\frac{6 x}{x + 7} - 1 = \frac{6}{x ^{2} + 7 x}

\frac{2 x - 1}{x + 2} = \frac{3 x - 5}{x + 1}

\frac{x - 1}{x - 1} = 1

1 + \frac{7}{x - 5} = \frac{x + 2}{x ^{2} - 9 x + 20}