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Fractions of 1000

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

What is the value of $\frac{1}{2}$ of  $\frac{2}{3}$ of $\frac{3}{4}$ of $\frac{4}{5}$ of $\frac{5}{6}$ of $\frac{6}{7}$ of $\frac{7}{8}$ of $\frac{8}{9}$ of $\frac{9}{10}$ of $1000$?
 
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas. 
 
 

This problem is taken from the UKMT Mathematical Challenges.
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