虫食い算・最大値問題(6)の解答例を示します。
(6)の解
上位10個
3/(5×6)+8/(7×4)+9/(1×2) = 171/ 35 (4.88571… )
3/(5×7)+8/(6×4)+9/(2×1) = 1033/210 (4.91904… )
3/(6×7)+8/(5×4)+9/(2×1) = 174/ 35 (4.97142… )
4/(5×6)+8/(3×7)+9/(1×2) = 351/ 70 (5.01428… )
4/(5×7)+8/(6×3)+9/(1×2) = 3187/630 (5.05873… )
4/(6×7)+8/(5×3)+9/(1×2) = 359/ 70 (5.12857… )
5/(6×7)+8/(3×4)+9/(2×1) = 37/ 7 (5.28571… )
6/(5×7)+8/(3×4)+9/(1×2) = 1121/210 (5.33809… )
7/(3×4)+8/(5×6)+9/(2×1) = 107/ 20 (5.35 )
7/(5×6)+8/(3×4)+9/(2×1) = 27/ 5 (5.4 ) 最大値
(参考)計算結果が整数になる例
1/(3×6)+5/(8×9)+7/(2×4) = 1
5/(1×8)+7/(2×4)+9/(3×6) = 2
5/(3×4)+6/(8×9)+7/(1×2) = 4
5/(3×6)+7/(1×2)+8/(4×9) = 4
5/(3×8)+7/(4×6)+9/(1×2) = 5
5/(4×6)+7/(3×8)+9/(1×2) = 5