27.5 % = 0.275 or 275/1000
275 = 5 * 5 * 11 (prime factors)
1000 = 5 * 5 * 5 * 2 * 2 * 2 (prime factors)
The (5 * 5) is common so you have:
(5 * 5) * 11
-------------------
(5 * 5) * 5 * 2 * 2 * 2
= 11 / ( 5 * 2 * 2 * 2) = 11/40 (fraction)
divide 11 by 40 to check that it equals 0.275
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