How fast can you multiply?

Algebra Level 2

(1110)(1111)(1112)(11100)= ?\displaystyle \left( 1 - \frac{1}{\color{teal}{10}}\right)\left(1 - \frac{1}{\color{teal}{11}}\right)\left(1 - \frac{1}{\color{teal}{12}}\right)\cdots\left(1 - \frac{1}{\color{teal}{100}}\right)= \ ?

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