Solutions by everydaycalculation.com
1st number: 3 3/8, 2nd number: 4/9
278 + 49 is 27572.
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Related: 54/8+4/9 27/8+8/9 27/16+4/9 27/8+4/18 81/8+4/9 27/8+12/9 27/24+4/9 27/8+4/27 27/8+20/9 27/40+4/9 27/8+4/45 27/8+28/9 27/56+4/9 27/8+4/63
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