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    Express 5.7ˉ5.\bar{7}5.7ˉ in pq\frac{p}{q}qp​ form, where p and q are integers and q≠0q \ne 0q=0​​
    Question

    Express 5.7ˉ5.\bar{7} in pq\frac{p}{q} form, where p and q are integers and q0q \ne 0​​

    A.

    527\frac{52}{7}​​

    B.

    529\frac{52}{9}​​

    C.

    5710\frac{57}{10}​​

    D.

    577\frac{57}{7}​​

    Correct option is B

    Given:

    Given 5.7ˉ5.\bar{7}​​

    Solution:

    Let x = 5.777…

    Then 10x = 57.77..

    10x-x = 57.77…-5.777..

    9x = 52

    x = 529\frac{52}{9}​​

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