What is the answer to 1/x =2.75 ?

The answer to 1/x =2.75 is x= 4/11

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1/x =2.75

\frac{1}{x} = 2.75

x = \frac{4}{11}

Decimal Notation

x = 0.36363 \dots

Solution steps

\frac{1}{x} = 2.75

Multiply both sides by

x

1 = 2.75 x

Switch sides

2.75 x = 1

Multiply both sides by

100

275 x = 100

Divide both sides by

275

x = \frac{4}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4}{11}

\frac{8}{x - 5} = - 3

\frac{22}{7 - a} = \frac{2}{a + 5}

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

\frac{30}{35} = \frac{150}{x}

\frac{10}{x} = - \frac{10}{3 x} - 4