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Question 210018
JEE Mathematics · Medium

Sequences and Series: Infinite GP MCQ

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Infinite GPMediumQuestion 210018

Question

0.333... (0.3 repeating) as a fraction is:
  1. A
    1/3
    Correct
  2. B
    3/10
  3. C
    1/4
  4. D
    3/11

Correct answer

1/3

Explanation

0.333... = 3/10 + 3/100 + ... = (3/10)/(1−1/10) = (3/10)/(9/10) = 3/9 = 1/3.

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