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    Convert 0.516‾0.51\overline 60.516​ into fraction.
    Question

    Convert 0.5160.51\overline 6​ into fraction.

    A.

    3170\frac{31}{70}​​

    B.

    3163\frac{31}{63}​​

    C.

    3061\frac{30}{61}​​

    D.

    3160\frac{31}{60} ​

    Correct option is D

    Given: 
    0.5160.51\overline6 
    Formula Used: 
    for reoccurring decimal 0.abc0.ab\overline c fraction form is;
    abcab900\frac{abc - ab}{900} 
    Solution: 
    0.5160.51\overline6 in fraction form can be written as;
    51651900=465900=93180=3160\frac{516 - 51}{900} = \frac{465}{900} = \frac{93}{180} = \bf \frac{31}{60}​​​​

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