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

The answer to 1/x+1/(2x)= 2/3 is x= 9/4

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1/x+1/(2x)= 2/3

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

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

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

Multiply by LCM

9 = 4 x

Switch sides

4 x = 9

Divide both sides by

4

x = \frac{9}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{4}

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

\frac{1}{2 x} + \frac{1}{4 x} = \frac{3}{12}

\frac{2 x}{5} = \frac{x ^{2} - 5 x}{5 x}

\frac{7 x - 4}{x + 2} - \frac{4}{7 x} = 7

y, x = \frac{y}{y + 2}