Convert to a Fraction 0.16666667

Math
0.16‾
Set up an equation with 0.16‾.
x=0.16‾
Create two equations where the only numbers to the right of the decimal place are the repeating part.
Multiply both sides of x=0.16‾ by 10 to create the first equation.
10x=1.6‾
Multiply both sides of x=0.16‾ by 100 to create the second equation.
100x=16.6‾
Subtract 10x=1.6‾ from 100x=16.6‾ to remove the repeating part.
90x=15
Divide each term by 90 and simplify.
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Divide each term in 90x=15 by 90.
90×90=1590
Cancel the common factor of 90.
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Cancel the common factor.
90×90=1590
Divide x by 1.
x=1590
x=1590
Cancel the common factor of 15 and 90.
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Factor 15 out of 15.
x=15(1)90
Cancel the common factors.
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Factor 15 out of 90.
x=15⋅115⋅6
Cancel the common factor.
x=15⋅115⋅6
Rewrite the expression.
x=16
x=16
x=16
x=16
The fractional form is the solution to the equation.
16
Convert to a Fraction 0.16666667

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