# Terminating Fractions

Algebra Level pending

$\large \frac12 \cdot\frac23 \cdot \frac34 \cdot\frac45 \cdot \ldots \cdot x = \frac1{100}$

Above shows the product of $$x$$ fractions such that its product equals to $$\frac{1}{100}$$. If each of these $$x$$ fractions have their numerator is 1 less than its denominator, find the value of $$x$$.

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