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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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Q: How do you convert 27.5 percent in fraction?
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