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To convert - 0.08333... to a fraction:
1. Let x = 0.08333...
2. The repeating digit is 3.
3. Place the repeating digit to the left of the decimal point.
In this case, move the decimal point 3 places to the right by multiplying it by 1000.
Thus,
(x = 0.08333...) * 1000
1000x = 83.333... - equation (1)
4. Place the repeating digit to the right of the decimal point.
In this case, move the decimal point 2 places to the right.
Thus,
(x = 0.08333...) * 100
100x = 8.333... - equation (2)
5. Subtract Eq.(2) from Eq.(1)
1000 x - 100x = 83.333... - 8.333...
900x = 75
divide both sides by 900
x = 75/900 or 1/12
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