Solutions by everydaycalculation.com
1st number: 3 3/9, 2nd number: 1 1/9
309 + 109 is 409.
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Related: 60/9+10/9 30/9+20/9 30/18+10/9 30/9+10/18 90/9+10/9 30/9+30/9 30/27+10/9 30/9+10/27 30/9+50/9 30/45+10/9 30/9+10/45 30/9+70/9 30/63+10/9 30/9+10/63
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