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    Express 3.31‾3.\overline{31}3.31​ in the form pq\frac{p}{q}qp​​ where p and q are integers and q≠0
    Question

    Express 3.313.\overline{31}​ in the form pq\frac{p}{q}​ where p and q are integers and q0

    A.

    32999\frac{329}{99}​​

    B.

    10933\frac{109}{33}​​

    C.

    103\frac{10}{3}​​

    D.

    32899\frac{328}{99}​​

    Correct option is D

    Given:

    3.313.\overline{31}​​

    Solution:

    Let x = 3.313131..

    100x = 331.3131

    100x - x = 331 - 3

    99x = 328

    x = 32899\frac{328}{99}​​

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