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

Set up an equation with .

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 14.6666666667