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    Express 123.47‾123.4\overline{7}123.47 in  pq\frac{p}{q}qp​​  form, where p and q are integers and q≠0q≠ 0q=0​.
    Question

    Express 123.47123.4\overline{7} in  pq\frac{p}{q}​  form, where p and q are integers and q0q≠ 0​.

    A.

    1234799\frac{12347}{99}​​

    B.

    1111390\frac{11113}{90}​​

    C.

    1234790\frac{12347}{90}​​

    D.

    111139\frac{11113}{9}​​

    Correct option is B

    Given:

    123.47123.4\overline{7}​​

    Solution:

    Let x = 123.4777…

    Then 10x = 1234.777…

    And 100x = 12347.77…

    100x -10x = 12347.777… - 1234.777…

    90x = 11113

    x = 1111390 \frac{11113}{90}​​

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