(1×6×9+2×12×18+3×18×27+.+100×600×900) /

问题描述:

(1×6×9+2×12×18+3×18×27+.+100×600×900) /
(1×6×9+2×12×18+3×18×27+.+100×600×900)/ (1×2×3+2×4×6+3×6×9+.+100×200×300)
简便运算

(1×6×9+2×12×18+3×18×27+.+100×600×900)/ (1×2×3+2×4×6+3×6×9+.+100×200×300)
=1×6×9(1+2*2*2+3*3*3+.100*100*100)/1x2x3(1+2*2*2+3*3*3+.+100*100*100)
=1*6*9/1*2*3
=54/6
=9