alleryWhat is the repeating decimal 0.3636... as a fraction in lowest terms?
A36/100
B4/11
C3/10
D9/25
Answer & Solution
Correct answer: B. 4/11
1. The repeating pattern 36 has two digits, so use two nines: 36/99.
2. Divide top and bottom by 9: 4/11.
3. 36/100 would be a finite decimal, 3/10 equals 0.3, and 9/25 equals 0.36 exactly.
_Source: Wikipedia, Fraction, section Converting repeating digits in decimal notation to fractions_
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