Convert to a Fraction 5.6666666667

Math
5.6‾
Create two equations where the only numbers to the right of the decimal place are the repeating part.
Set up an equation with 5.6‾.
x=5.6‾
Multiply both sides of x=5.6‾ by 10 to create the second equation.
10x=56.6‾
Subtract x=5.6‾ from 10x=56.6‾ to remove the repeating part.
9x=51
Divide each term by 9 and simplify.
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Divide each term in 9x=51 by 9.
9×9=519
Cancel the common factor of 9.
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Cancel the common factor.
9×9=519
Divide x by 1.
x=519
x=519
Cancel the common factor of 51 and 9.
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Factor 3 out of 51.
x=3(17)9
Cancel the common factors.
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Factor 3 out of 9.
x=3⋅173⋅3
Cancel the common factor.
x=3⋅173⋅3
Rewrite the expression.
x=173
x=173
x=173
x=173
The fractional form is the solution to the equation.
173
Convert to a Fraction 5.6666666667

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