Question

(113 1/111)*1/112用最简便的方法怎么算?

(113+1/111)*1/112用最简便的方法怎么算?谢谢

Answer 1

(113+1/111)x1/112
=(112+1+1/111)x1/112
=(112+112/111)x1/112
=112x1/112+112/111x1/112
=1+1/111
=1又111分之1
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知识点延伸 ：
一般要求用简便方法计算的题目都有特殊点，只要发现了特殊点，就很容易解答了。
有的是根据加法的结合律，交换律和分配律；有的是根据乘法的结合律，交换律。

Answer 2

（113+1/111）*1/112
=（112+112/111）*1/112
=112*1/112+112/111*1/112
=1+1/111
=1又111分之1

Answer 3

（113+1/111）x1/112
=(112+1+1/111) x1/112
=（112+112/111）x1/112
=112 x1/112+112/111 x1/112
=1+1/111
=112/111