0.72‾

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

Set up an equation with 0.72‾.

x=0.72‾

Multiply both sides of x=0.72‾ by 100 to create the second equation.

100x=72.72‾

Subtract x=0.72‾ from 100x=72.72‾ to remove the repeating part.

99x=72

Divide each term in 99x=72 by 99.

99×99=7299

Cancel the common factor of 99.

Cancel the common factor.

99×99=7299

Divide x by 1.

x=7299

x=7299

Cancel the common factor of 72 and 99.

Factor 9 out of 72.

x=9(8)99

Cancel the common factors.

Factor 9 out of 99.

x=9⋅89⋅11

Cancel the common factor.

x=9⋅89⋅11

Rewrite the expression.

x=811

x=811

x=811

x=811

The fractional form is the solution to the equation.

811

Convert to a Fraction 0.72727272