Convert to a Fraction 1.22222222222222

$1.\overline{2}$

Create two equations where the only numbers to the right of the decimal place are the repeating part.

Set up an equation with $1.\overline{2}$ .

$x = 1.\overline{2}$

Multiply both sides of $x = 1.\overline{2}$ by $10$ to create the second equation.

$10 x = 12.\overline{2}$

Subtract $x = 1.\overline{2}$ from $10 x = 12.\overline{2}$ to remove the repeating part.

$9 x = 11$

Divide each term by $9$ and simplify.

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Divide each term in $9 x = 11$ by $9$ .

$\frac{9 x}{9} = \frac{11}{9}$

Cancel the common factor of $9$ .

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Cancel the common factor.

$\frac{9 x}{9} = \frac{11}{9}$

Divide $x$ by $1$ .

$x = \frac{11}{9}$

The fractional form is the solution to the equation.

$\frac{11}{9}$

Convert to a Fraction 1.22222222222222