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用简便方法计算各题分数的题

答案:2  悬赏:80  手机版
解决时间 2021-02-16 13:06
  • 提问者网友:了了无期
  • 2021-02-15 19:21
1/5+5/6+4/5 7/9-1/7-2/4 2/15+4/21+7/15+2/21 2/3-1/2+2/3-1/2

5/12+(1/12-2/5) 2/15+(2/5-1/15)-1/5
最佳答案
  • 五星知识达人网友:梦中风几里
  • 2021-02-15 19:45
用简便方法计算各题分数的题
1/5+5/6+4/5
=(1/5+4/5)+5/6
=1+5/6
=1又5/6

7/9-1/7-2/9
=(7/9-2/9)-1/7
=5/9-1/7
=25/63

2/15+4/21+7/15+2/21
=(2/15+7/15)+(4/21+2/21)
=3/5+2/7
=31/35

2/3-1/2+2/3-1/2
=(2/3+2/3)-(1/2+1/2)
=4/3-1
=1/3

5/12+(1/12-2/5)
=(5/12+1/12)-2/5
=1/2-2/5
=1/10

2/15+(2/5-1/15)-1/5
=(2/15-1/15)+(2/5-1/5)
=1/15+1/5
=4/15
全部回答
  • 1楼网友:妄饮晩冬酒
  • 2021-02-15 21:12

解:1/2+(-1/6)+(-1/12)+(-1/20)+(-1/30)+(-1/42)

=1/2-[(1/2)-(1/3)]-[(1/3)-(1/4)]-[(1/4)-(1/5)]-[(1/5)-(1/6)]-[(1/6)-(1/7)]

=1/2-1/2+1/3-1/3+1/4-1/4+1/5-1/5+1/6-1/6+1/7

=1/7

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