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Making the denominator same of all fractions -
1/4 * 935/935 = 935/3740
3/5 * 748/748 = 2244/3740
12/17 * 220/220 = 2640/3740
23/44 * 85/85 = 1955/3740
Now, clearly it is visible that 2640/3740 is greatest among these, so answer is 12/17