1 century = 100 years → you know that 1 year = 52 weeks
1 century = 100 * 52 weeks
1 century = 5200 weeks
1 century = 5200 weeks
x century = 13 weeks
You make the cross-multiply, and you get:
5200x = 13
x = 13/5200 → you simplify by 13
x = 1/400
13 weeks represent a fraction of 1/400 of century.
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