Convert to a Fraction 0.15833333333

Math
0.1583‾
Set up an equation with 0.1583‾.
x=0.1583‾
Create two equations where the only numbers to the right of the decimal place are the repeating part.
Multiply both sides of x=0.1583‾ by 1000 to create the first equation.
1000x=158.3‾
Multiply both sides of x=0.1583‾ by 10000 to create the second equation.
10000x=1583.3‾
Subtract 1000x=158.3‾ from 10000x=1583.3‾ to remove the repeating part.
9000x=1425
Divide each term by 9000 and simplify.
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Divide each term in 9000x=1425 by 9000.
9000×9000=14259000
Cancel the common factor of 9000.
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Cancel the common factor.
9000×9000=14259000
Divide x by 1.
x=14259000
x=14259000
Cancel the common factor of 1425 and 9000.
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Factor 75 out of 1425.
x=75(19)9000
Cancel the common factors.
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Factor 75 out of 9000.
x=75⋅1975⋅120
Cancel the common factor.
x=75⋅1975⋅120
Rewrite the expression.
x=19120
x=19120
x=19120
x=19120
The fractional form is the solution to the equation.
19120
Convert to a Fraction 0.15833333333

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