(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](/uploads/image/z/929338-34-8.jpg?t=%282004%2A38%2F2002%29%2A62%2B124+%E7%AE%80%E4%BE%BF%E7%AE%97%E6%B3%95)
(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
= 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