-0.45‾

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

Set up an equation with -0.45‾.

x=-0.45‾

Multiply both sides of x=-0.45‾ by 100 to create the second equation.

100x=-45.45‾

Subtract x=-0.45‾ from 100x=-45.45‾ to remove the repeating part.

99x=-45

Divide each term in 99x=-45 by 99.

99×99=-4599

Cancel the common factor of 99.

Cancel the common factor.

99×99=-4599

Divide x by 1.

x=-4599

x=-4599

Simplify -4599.

Cancel the common factor of -45 and 99.

Factor 9 out of -45.

x=9(-5)99

Cancel the common factors.

Factor 9 out of 99.

x=9⋅-59⋅11

Cancel the common factor.

x=9⋅-59⋅11

Rewrite the expression.

x=-511

x=-511

x=-511

Move the negative in front of the fraction.

x=-511

x=-511

x=-511

The fractional form is the solution to the equation.

-511

Convert to a Fraction -0.454545454545454545