Solutions by everydaycalculation.com
1st number: 4 6/9, 2nd number: 8/9
429 + 89 is 509.
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Related: 84/9+8/9 42/9+16/9 42/18+8/9 42/9+8/18 42/9+24/9 42/27+8/9 42/9+8/27 42/9+40/9 42/45+8/9 42/9+8/45 42/9+56/9 42/63+8/9 42/9+8/63
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