Solutions by everydaycalculation.com
1st number: 3/4, 2nd number: 1 2/7
34 + 97 is 5728.
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Related: 6/4+9/7 3/4+18/7 3/8+9/7 3/4+9/14 9/4+9/7 3/4+27/7 3/12+9/7 3/4+9/21 15/4+9/7 3/4+45/7 3/20+9/7 3/4+9/35 21/4+9/7 3/4+63/7 3/28+9/7 3/4+9/49
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