Convert to a Fraction -0.454545454545454545

Math
-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 by 99 and simplify.
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Divide each term in 99x=-45 by 99.
99×99=-4599
Cancel the common factor of 99.
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Cancel the common factor.
99×99=-4599
Divide x by 1.
x=-4599
x=-4599
Simplify -4599.
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Cancel the common factor of -45 and 99.
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Factor 9 out of -45.
x=9(-5)99
Cancel the common factors.
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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

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