作业帮计算：28
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/23 00:13:38
（1.2乘2.4乘4.8+2乘4乘8+1/13乘2/13乘4/13）除以 （1.2乘3.6乘10.8+2乘6乘18+1/13乘3/13乘9/13）=多少
解题思路： 先变形，然后把分子和分母中都有的(12³+2³+(1/13)³)消掉，就成了1×2×4/(1×3×9)=8/27
解题过程：
(1.2×2.4×4.8+2×4×8+1/13×2/13×4/13)/(1.2×3.6×10.8+2×6×18+1/13×3/13×9/13)
=[1.2×1.2×2×1.2×4+2×2×2×2×4+1/13×1/13×2×1/13×4]/[1.2×1.2×3×1.2×9+2×2×3×2×9+1/13×1/13×2×1/13×9]
=[1×2×4×(1.2³3+2³+(1/13)³)]/[1×3×9×(1.2³+2³+(1/13)³)]
=1×2×4/(1×3×9)
=8/27
解题过程：
(1.2×2.4×4.8+2×4×8+1/13×2/13×4/13)/(1.2×3.6×10.8+2×6×18+1/13×3/13×9/13)
=[1.2×1.2×2×1.2×4+2×2×2×2×4+1/13×1/13×2×1/13×4]/[1.2×1.2×3×1.2×9+2×2×3×2×9+1/13×1/13×2×1/13×9]
=[1×2×4×(1.2³3+2³+(1/13)³)]/[1×3×9×(1.2³+2³+(1/13)³)]
=1×2×4/(1×3×9)
=8/27