# Convert to a Fraction 4.16666667

4.16‾
Set up an equation with 4.16‾.
x=4.16‾
Create two equations where the only numbers to the right of the decimal place are the repeating part.
Multiply both sides of x=4.16‾ by 10 to create the first equation.
10x=41.6‾
Multiply both sides of x=4.16‾ by 100 to create the second equation.
100x=416.6‾
Subtract 10x=41.6‾ from 100x=416.6‾ to remove the repeating part.
90x=375
Divide each term by 90 and simplify.
Divide each term in 90x=375 by 90.
90×90=37590
Cancel the common factor of 90.
Cancel the common factor.
90×90=37590
Divide x by 1.
x=37590
x=37590
Cancel the common factor of 375 and 90.
Factor 15 out of 375.
x=15(25)90
Cancel the common factors.
Factor 15 out of 90.
x=15⋅2515⋅6
Cancel the common factor.
x=15⋅2515⋅6
Rewrite the expression.
x=256
x=256
x=256
x=256
The fractional form is the solution to the equation.
256
Convert to a Fraction 4.16666667

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