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【321218】六年级数学上册第三单元分数除法简便计算典型例题(学生版)

时间:2025-01-08 19:35:47 作者: 字数:2192字
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六年级数学上册第三单元分数除法简便计算Shape1

典型例题Shape2

整数、小数、分数的简便计算运算定律、运算性质:Shape3

运算定律

运算性质

加法交换律:a+b=b+a

减法运算性质:

a-b-c=a-(b+c)

a-(b-c)=a-b+c

加法结合律:a+b+c=a+(b+c)

乘法交换律:a×b=b×a

除法运算性质:

a÷b÷c=a÷(b×c)

a÷(b÷c)=a÷b×c

(a+b)÷c=a÷c+b÷c

(a-b)÷c=a÷c-b÷c

乘法结合律:a×b×c=a×(b×c)

乘法分配律:

(a+b)×c=a×c+b×c

(a-b)×c=a×c-b×c

1.简便计算类型一:“分数除法化成分数乘法,再简便计算”。Shape4

【例题1÷ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> ÷ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape5

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【对应练习】Shape16

 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape17 ÷ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> ÷ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> 15÷0.6÷ 8÷9÷ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a>

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【例题2 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape23

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【对应练习】Shape29

 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape30  <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> ÷ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a>  <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a>

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【例题3 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape39

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【对应练习】Shape45

 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a>  <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape46  <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a>  <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a>  <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a>

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2. 简便计算类型二:“带分数化成假分数,再简便计算”。Shape53

【例题】2020÷2020 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape54

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【对应练习】Shape61

22÷ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape62

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 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape68

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2021÷2021 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape73

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3. 简便计算类型三:“带分数化加式,再简便计算”。Shape79

【例题】2020 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> ÷2020Shape80

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【对应练习】Shape85

32÷32 16 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape86 ÷8  <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> ÷3

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4. 简便计算类型四:“提取分数单位,再整体约分”。Shape92

【例题】 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> ÷ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape93

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【对应练习】Shape98

 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape99

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 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape104

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 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> ÷ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape109

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5. 简便计算类型五:“带分数化加式,再凑分数约分”。Shape114

【例题】60 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> ÷29Shape115

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【对应练习】Shape120

84 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> Shape121 ÷41  <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> 2010 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/96/" title="典型" class="c1" target="_blank">典型</a> <a href="/tags/98/" title="例题" class="c1" target="_blank">例题</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a>

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