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Difficulty:
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Question Stats:
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26%
(01:46)
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What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?
A. 1
B. 2
C. 4
D. 7
E. 9
A. 1
B. 2
C. 4
D. 7
E. 9
10 Mar 2012, 08:37
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What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?
A. 1
B. 2
C. 4
D. 7
E. 9
A. 1
B. 2
C. 4
D. 7
E. 9
\(\frac{2}{9} + \frac{3}{11}=\frac{22}{99} + \frac{27}{99}=\frac{49}{99}=0.494949...\). So, 99th (odd placed after the decimal) digit will be 4.
Answer: C.
For more on converting a recurring decimal to fraction check this: math-number-theory-88376.html
Hope it helps.
