解题思路:(1)把除法改为乘法,利用乘法分配律简算;
(2)利用乘法交换律简算;
(3)先算加法,再算除法,最后算乘法;
(4)把8×0.634改为0.8×6.34,利用乘法分配律简算.
(1)[7/9]÷[11/5]+[2/9]×[5/11]
=[7/9]×[5/11]+[2/9]×[5/11]
=([7/9]+[2/9])×[5/11]
=1×[5/11]
=[5/11];
(2)4×1.28×2.5
=4×2.5×1.28
=10×1.28
=12.8;
(3)[5/11]×[([2/5]+[1/3])÷[5/6]]
=[5/11]×[[11/15]×[6/5]]
=[5/11]×[11/15]×[6/5]
=[2/5];
(4)3.66×[4/5]+8×0.634
=3.66×[4/5]+0.8×6.34
=(3.66+6.34)×0.8
=10×0.8
=8.
点评:
本题考点: 分数的四则混合运算;运算定律与简便运算;小数四则混合运算.
考点点评: 混合运算的关键是搞清运算顺序,正确按运算顺序计算,正确利用运算定律简算.