怎样简便怎样算. [5/6]×[7/25]×6 [2/5]×[3/14]×[2/3] ([3/7]+[1/2])×14

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  • 解题思路:(1)根据乘法交换律进行计算;

    (2)根据乘法结合律进行计算;

    (3)根据乘法分配律进行计算;

    (4)根据乘法分配律进行计算;

    (5)根据乘法分配律进行计算;

    (6)根据乘法结合律进行计算.

    (1)[5/6]×[7/25]×6,

    =[5/6]×6×[7/25],

    =5×[7/25],

    =[7/5];

    (2)[2/5]×[3/14]×[2/3],

    =[2/5]×([3/14]×[2/3]),

    =[2/5]×[1/7],

    =[2/35];

    (3)([3/7]+[1/2])×14,

    =[3/7]×14+[1/2]×14,

    =6+7,

    =13;

    (4)[5/8]×[5/8]+[5/8]×[3/8],

    =[5/8]×([5/8]+[3/8]),

    =[5/8]×1,

    =[5/8];

    (5)100×[2/99],

    =(99+1)×[2/99],

    =99×

    点评:

    本题考点: 分数的简便计算.

    考点点评: 四则运算,先弄清运算顺序,然后再进一步计算即可,能简算的要简算.