作业帮(2004*38/2002)*62+124 简便算法
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(2004*38/2002)*62+124 简便算法
(2004*38/2002)*62+124 简便算法
(2004*38/2002)*62+124 简便算法
(2004*38/2002)*62+124
= 2004*19*124/2002 + 124*2002/2002
= 124/2002 * [ 2004*19 + 2002 ]
= 124/2002 * [ (2002+2)*19 + 2002 ]
= 124/2002 * [ (2002*19 + 2002 + 2 * 19 ]
= 124/2002 * [ (2002*20 + 2 * 19 ]
= 124 * 20 + 124*2*19/2002
= 124 * 20 + 124*19/1001
= 2480 + 124*(20-1)/1001
= 2480 + (2480-124)/1001
= 2480 + 2356/1001