Product of numbers

Number Theory Level 1

The value of $$\left(1 + \frac{1}{2}\right) \left( 1 + \frac{1}{3} \right) \cdots \left( 1 + \frac{1}{100}\right)$$ can be expressed as $$\frac{a}{b}$$ where $$a$$ and $$b$$ are coprime positive integers. What is the value of $$a +b?$$

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