Solutions by everydaycalculation.com
1st number: 2 2/3, 2nd number: 8 8/9
83 + 809 is 1049.
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Related: 16/3+80/9 8/6+80/9 8/3+80/18 24/3+80/9 8/9+80/9 8/3+80/27 40/3+80/9 8/15+80/9 8/3+80/45 56/3+80/9 8/21+80/9 8/3+80/63
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