No. Look for factors that are common between both numbers (that's not too difficult in this case), then divide both numbers by such a common factor.
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8 over 52 in simplest form is 2 over 13
2 over 9
8 over 4 in simplest form is 2 over 1, which becomes 2 (a whole number).
2 and 8 are both divisible by 2, so the reduced form is (2/2) / (8/2) = 1/4.
3/10 is in simplest form, 2/8 can be simplified to 1/4