The fraction for 0.5833333 is 7/12.
0.5833333333 is a repeating decimal. To covert repeating decimals to fractions, just follow the two steps below carefully.
Step 1: Let x equal the repeating decimal you are trying to convert to a fraction.
What rational number or fraction is equal to 0.55555555555
x = 0.5555555555
Step 2: Examine the repeating decimal to find the repeating digit(s).
After examination, the repeating digit is 5
Step 3: Place the repeating digit(s) to the left of the decimal point.
To place the repeating digit ( 5 ) to the left of the decimal point, you need to move the decimal point 1 place to the right.
Technically, moving a decimal point one place to the right is done by multiplying the decimal number by 10.
When you multiply one side by a number, you have to multiply the other side by the same number to keep the equation balanced.
Thus, 10x = 5.555555555.
Step 4: Place the repeating digit(s) to the right of the decimal point.
Look at the equation in step 1 again. In this example, the repeating digit is already to the right, so there is nothing else to do.
x = 0.5555555555
Step 5: Subtract the left sides of the two equations.Then, subtract the right sides of the two equations. As you subtract, just make sure that the difference is positive for both sides.
Your two equations are: 10x = 5.555555555 and x = 0.5555555555
10x - x = 5.555555555 − 0.555555555555
9x = 5
Divide both sides by 9
x = 5/9
Learn more tips and tricks on how to convert repeating decimal to a fraction at Dummies.com.