Question

7/29×3/8+6/29×7/12+3/29×7/9的简便运算

Answer 1

7/29×3/8+6/29×7/12+3/29×7/9
=7/29×3/8+7/29×6/12+7/29×3/9
=7/29×（3/8+6/12+3/9）
=7/29×29/24
=7/24

解答分析：
根据乘法交换律，
把6/29×7/12+3/29×7/9转化为7/29×6/12+7/29×3/9的形式，
再运用乘法分配律a×b+a×c+a×d=a×（b+c+d）简便计算。

Answer 2

7/29*3/8+6/29*7/12+3/29*7/9
=7/29x3/8+7/29x1/2+7/29x1/3
=7/29x(3/8+1/2+1/3)
=7/29x(9/24+12/24+8/24)
=7/29x29/24
=7/24