What is the answer to 1/x =0.3 ?

The answer to 1/x =0.3 is x= 10/3

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1/x =0.3

\frac{1}{x} = 0.3

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

\frac{1}{x} = 0.3

Multiply both sides by

x

1 = 0.3 x

Switch sides

0.3 x = 1

Multiply both sides by

10

3 x = 10

Divide both sides by

3

x = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{10}{3}

\frac{15 - 1}{6 n} = \frac{1}{6 n - 1}

\frac{x + 3}{x - 3} = 7

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

\frac{0.7}{1.4} = \frac{15}{x}

6 z - \frac{4}{1 + 2 z} = 3