Solutions by everydaycalculation.com
1st number: 2 6/9, 2nd number: 1/9
249 + 19 is 259.
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Related: 48/9+1/9 24/9+2/9 24/18+1/9 24/9+1/18 72/9+1/9 24/9+3/9 24/27+1/9 24/9+1/27 24/9+5/9 24/45+1/9 24/9+1/45 24/9+7/9 24/63+1/9 24/9+1/63
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