Fractions of 1000
Find a simple way to compute this long fraction.
Problem
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.
Student Solutions
Answer: $100$
Image
![Fractions of 1000 Fractions of 1000](/sites/default/files/styles/large/public/thumbnails/content-id-7145-fractions%252520of%2525201000.png?itok=tu1Ne3jf)