Solutions by everydaycalculation.com
1st number: 1 1/6, 2nd number: 5 5/7
76 + 407 is 28942.
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Related: 14/6+40/7 7/6+80/7 7/12+40/7 7/6+40/14 21/6+40/7 7/18+40/7 7/6+40/21 35/6+40/7 7/30+40/7 7/6+40/35 49/6+40/7 7/42+40/7 7/6+40/49
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