Convert to a Fraction 1774.66666666667

Math
1774.6‾
Create two equations where the only numbers to the right of the decimal place are the repeating part.
Set up an equation with 1774.6‾.
x=1774.6‾
Multiply both sides of x=1774.6‾ by 10 to create the second equation.
10x=17746.6‾
Subtract x=1774.6‾ from 10x=17746.6‾ to remove the repeating part.
9x=15972
Divide each term by 9 and simplify.
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Divide each term in 9x=15972 by 9.
9×9=159729
Cancel the common factor of 9.
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Cancel the common factor.
9×9=159729
Divide x by 1.
x=159729
x=159729
Cancel the common factor of 15972 and 9.
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Factor 3 out of 15972.
x=3(5324)9
Cancel the common factors.
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Factor 3 out of 9.
x=3⋅53243⋅3
Cancel the common factor.
x=3⋅53243⋅3
Rewrite the expression.
x=53243
x=53243
x=53243
x=53243
The fractional form is the solution to the equation.
53243
Convert to a Fraction 1774.66666666667

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