When multiplying the fractions together, the denominator of each
fractio, 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. $100$

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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.**View the archive of all weekly problems grouped by curriculum topic*

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