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Fractions of 1000

Stage: 3 Short Challenge Level: Challenge Level:1
When multiplying the fractions together, the denominator of each fraction, apart from the last, cancels with the numerator of the next fraction.

We are left with the numerator 1 from the first fraction and the denominator 10 from the last, which gives $\frac{1}{10}$ of $1000$, i.e. $100$

This problem is taken from the UKMT Mathematical Challenges.