Convert to a Fraction 0.72727272

Math
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 by 99 and simplify.
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Divide each term in 99x=72 by 99.
99×99=7299
Cancel the common factor of 99.
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Cancel the common factor.
99×99=7299
Divide x by 1.
x=7299
x=7299
Cancel the common factor of 72 and 99.
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Factor 9 out of 72.
x=9(8)99
Cancel the common factors.
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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

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