Convert to a Fraction 0.3666666666666666666

Math
0.36‾
Set up an equation with 0.36‾.
x=0.36‾
Create two equations where the only numbers to the right of the decimal place are the repeating part.
Multiply both sides of x=0.36‾ by 10 to create the first equation.
10x=3.6‾
Multiply both sides of x=0.36‾ by 100 to create the second equation.
100x=36.6‾
Subtract 10x=3.6‾ from 100x=36.6‾ to remove the repeating part.
90x=33
Divide each term by 90 and simplify.
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Divide each term in 90x=33 by 90.
90×90=3390
Cancel the common factor of 90.
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Cancel the common factor.
90×90=3390
Divide x by 1.
x=3390
x=3390
Cancel the common factor of 33 and 90.
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Factor 3 out of 33.
x=3(11)90
Cancel the common factors.
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Factor 3 out of 90.
x=3⋅113⋅30
Cancel the common factor.
x=3⋅113⋅30
Rewrite the expression.
x=1130
x=1130
x=1130
x=1130
The fractional form is the solution to the equation.
1130
Convert to a Fraction 0.3666666666666666666

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