这根绳子一共被剪成多少段

  • 时间:2020-05-29 14:21:57
  • 分类:数学世界
  • 阅读:135 次

分享一个五年级的数学问题,和公倍数知识有关:在一根长120厘米的绳子上从左到右每4厘米做一个记号,然后再从左到右每5厘米做一个记号,最后把有记号的地方剪开,这根绳子一共被剪成多少段?

数学题解答(西安007):在120厘米长的绳子上每隔4厘米做一个记号,共要做记号:120÷4-1=29(个);因为终点120厘米处不用画标记要减1;每隔5厘米做一个记号,共要做:120÷5-1=23(个);因为4和5的最小公倍数是20,因此每隔20厘米做的记号是重复的,这样的记号共有:120÷20-1=5(个)。这样一共有29+23-5=47(个)记号,把记号的地方剪开,绳子共剪成的段数为:47+1=48(段)。

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