Set up an equation with .

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

Multiply both sides of by to create the first equation.

Multiply both sides of by to create the second equation.

Subtract from to remove the repeating part.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

The fractional form is the solution to the equation.

Convert to a Fraction 0.1777777777777777777