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Discussion :: Decimal Fraction

  1. The value of (0.333...) * (0.444....) is

    2. A.
    0.121212....
    B.
    1.3333.....
    C.
    0.777......
    D.
    0.148148148.....

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    Answer : Option D

    Explanation :

    We can write (0.3333....) = 0.3̅
    Period of 0.3̅ is 3, so the numerator of the fraction is 3, and as there is one digit in the period, the denominator will have one nine.
    Therefore, the vulgar fraction = 3/9
    Similarly, (0.444...) = 0.4̅
    So, fraction = 4/9

    Hence, (3/9) * (4/9) = 12/81 = 0.148148....

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