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    Simplify the following expression.​0.12ˉ−0.6ˉ+0.3ˉ0.\bar{12}- 0.\bar6 + 0.\bar30.12ˉ−0.6ˉ+0.3ˉ​​
    Question

    Simplify the following expression.
    0.12ˉ0.6ˉ+0.3ˉ0.\bar{12}- 0.\bar6 + 0.\bar3​​

    A.

    9100\frac{9}{100}​​

    B.

    3733\frac{37}{33}​​

    C.

    511-\frac{5}{11}​​

    D.

    733-\frac{7}{33}​​

    Correct option is D

    Given:

    0.12ˉ0.6ˉ+0.3ˉ0.\bar{12 }- 0.\bar6 + 0.\bar3 

    Concept Used:

    0.abcˉ=abcab9000.ab\bar c= \frac{abc - ab }{900}  

    0.1ˉ20.6ˉ+0.3ˉ0.\bar12 - 0.\bar6 + 0.\bar3 

    =129969+39= \frac{12}{99} - \frac{6}{9} + \frac{3}{9}  

    1266+3399\frac{12 - 66 + 33}{99} 

    2199\frac{-21}{99} 

    733\frac{-7}{33}​​


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