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You need to see if there are any common factors: 14 = 1 x 2 x 7, and 30 = 1 x 2 x 3 x 5. So (1 x 2 = 2) is the common factor. Divide the numerator by 2: 14/2 = 7. Divide the denominator by 2: 30/2 = 15, so the simplified fraction is 7/15.
Note that now the only factor in common is 1, that is how you know it is simplest form.
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