0
2/15
To convert 0.13333333 to a fraction:
1. Let x = 0.13333333
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 2 places to the right by multiplying it by 100.
Thus,
(x = 0.13333333) * 100
100x = 13.333333 - equation (1)
4. Place the repeating digit to the right of the decimal point.
In this case, move the decimal point 1 place to the right.
Thus,
(x = 0.13333333) * 100
10x = 1.3333333 - equation (2)
5. Subtract Eq.(2) from Eq.(1)
100 x - 10x = 13.333333 - 1.3333333
90x = 12
divide both sides by 900
x = 12/90 or 2/15
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