
Fraction Product
Problem
Work out the exact value of 1/2 2/3
3/4
4/5
...
9/10
Solution
By cancelling adjacent numerators and denominators,
1/2 2/3
3/4
4/
...
/8
8/9
9/10 = 1/10
What about 1/1 2/4
3/9
...
9/81
10/100?
Problem ID: 90 (Dec 2002) Difficulty: 1 Star