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    The value of 1.6‾+1.5‾–1.3‾ 1.\overline6 + 1.\overline5 – 1.\overline3 1.6+1.5–1.3 is:
    Question

    The value of 1.6+1.51.3 1.\overline6 + 1.\overline5 – 1.\overline3 is:

    A.

    179\frac{17}{9}​​

    B.

    3445\frac{34}{45}​​

    C.

    2363\frac{23}{63}​​

    D.

    1999\frac{19}{99}​​

    Correct option is A

    Given: 
    1.6+1.51.31.\overline6 + 1.\overline5 – 1.\overline3     
    Solution: 
    = 1 + 1 -1 + 6+53\overline 6 + \overline5 - \overline3 
     =1+69+5939 =1+6+539 =1+89 =179 = 1 + \frac{6}{9} + \frac{5}{9} - \frac{3}{9}\\\ \\= 1 + \frac{6+5-3}{9}\\\ \\= 1 + \frac{8}{9}\\\ \\= \frac{17}{9}​​
    ​​​​​

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