Convert to a Fraction 0.7507507507507507507507507508

Math
0.750‾
Create two equations where the only numbers to the right of the decimal place are the repeating part.
Set up an equation with 0.750‾.
x=0.750‾
Multiply both sides of x=0.750‾ by 1000 to create the second equation.
1000x=750.750‾
Subtract x=0.750‾ from 1000x=750.750‾ to remove the repeating part.
999x=750
Divide each term by 999 and simplify.
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Divide each term in 999x=750 by 999.
999×999=750999
Cancel the common factor of 999.
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Cancel the common factor.
999×999=750999
Divide x by 1.
x=750999
x=750999
Cancel the common factor of 750 and 999.
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Factor 3 out of 750.
x=3(250)999
Cancel the common factors.
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Factor 3 out of 999.
x=3⋅2503⋅333
Cancel the common factor.
x=3⋅2503⋅333
Rewrite the expression.
x=250333
x=250333
x=250333
x=250333
The fractional form is the solution to the equation.
250333
Convert to a Fraction 0.7507507507507507507507507508

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