What is the answer to 4/9 = 1/x ?

The answer to 4/9 = 1/x is x= 9/4

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4/9 = 1/x

\frac{4}{9} = \frac{1}{x}

x = \frac{9}{4}

Solution steps

\frac{4}{9} = \frac{1}{x}

Cross multiply

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{x}{3} + \frac{18}{x} + 5 = 0

\frac{3.4}{x} = \frac{2.17}{7.7}

5 (\frac{x}{2900 + x}) = 0.2

\frac{2}{3} = \frac{6}{x}

\frac{x - 2}{x + 1} = 0