Simplify :
\left [ \left ( 1+\frac{1}{10+\frac{1}{10}} \right )\times \left ( 1+\frac{1}{10+\frac{1}{10}} \right )- \left ( 1-\frac{1}{10+\frac{1}{10}} \right )\times \left ( 1-\frac{1}{10+\frac{1}{10}} \right ) \right ]\div \left [ \left ( 1+\frac{1}{10+\frac{1}{10}} \right )+\left ( 1-\frac{1}{10+\frac{1}{10}} \right ) \right ]
[A] \frac{101}{100}
[B] \frac{20}{101}
[C] \frac{100}{101}
[D] \frac{90}{101}

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