Solutions by everydaycalculation.com
1st number: 3 6/7, 2nd number: 7/9
277 + 79 is 29263.
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Related: 54/7+7/9 27/7+14/9 27/14+7/9 27/7+7/18 81/7+7/9 27/7+21/9 27/21+7/9 27/7+7/27 27/7+35/9 27/35+7/9 27/7+7/45 27/7+49/9 27/49+7/9 27/7+7/63
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