What is the answer to 2-1/x =1.1 ?

The answer to 2-1/x =1.1 is x= 10/9

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2-1/x =1.1

2 - \frac{1}{x} = 1.1

x = \frac{10}{9}

Decimal Notation

x = 1.11111 \dots

Solution steps

2 - \frac{1}{x} = 1.1

Move

2

to the right side

- \frac{1}{x} = - 0.9

Multiply both sides by

x

- 1 = - 0.9 x

Switch sides

- 0.9 x = - 1

Multiply both sides by

10

- 9 x = - 10

Divide both sides by

- 9

x = \frac{10}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{10}{9}

\frac{x}{x - 2} = \frac{( 2 x - 3 )}{x}

\frac{10}{3} = \frac{4}{x} + 2

x, \frac{2}{x} = 3 + y

v, 13.51 = \frac{125}{v}

10 x - \frac{33750}{x ^{2}} = 0