7/8

Explanation

First, find the lowest common denominator for all four fractions. In this case it is 40. If you convert all four fractions to 40ths, 3/8 becomes 15/40; 2/5 becomes 16/40; 1/4 becomes 10/40 and 7/8 becomes 35/40. Therefore the largest fraction is 7/8.

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