Question

(2/7+3/4)÷(5/7)÷(1/4)如何简便运算？

Answer 1

(2/7+3/4)÷5/7÷1/4如何简便运算?
(2/7+3/4)÷5/7÷1/4
=(2/7+3/4)×7/5×4
=(2/7+3/4)×28/5
=2/7×28/5+3/4×28/5
=56/35+84/20
=56/35+21/5
=56/35+147/35
=(56+147)/35
=203/35
=29/5

方法二:
原式=(2/7+3/4)÷5/7÷1/4
=(8/28+21/28)÷5/7÷1/4
=29/28×7/5×4
=29/7×7/5
=29/5

比较发现，方法二也即直接计算反而较方法一简便，所以本题简便方法是第二种。为您解答完毕，如对您有帮助，还请点击采纳为我点赞，谢谢。

Answer 2

（2/7+3/4）÷5/7÷1/4
＝（2/7+3/4）×7/5×4
＝2/7×7/5×4+3/4×7/5×4
＝8/5+21/5
＝29/5

Answer 3

=(2/7+3/4)÷(5/7)÷(1/4)
=(8/28+21/28)x(7/5)x4
=29/28x(28/5)
=29/5
=5又4/5