()20=11.9÷17=35\dfrac{(\quad)}{20}=11.9÷17=35:==%%

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Worked solution

1. 计算核心除法算式的值,并将其转化为最简分数和小数

首先计算已知算式的值:
11.9÷17=0.7=71011.9 \div 17 = 0.7 = \dfrac{7}{10}

2. 利用分数的基本性质求出第一个括号内的数

根据分数的基本性质,将 710\dfrac{7}{10} 的分子和分母同时乘以 22:
710=7×210×2=1420\dfrac{7}{10} = \dfrac{7 \times 2}{10 \times 2} = \dfrac{14}{20}
因此第一个括号内填 1414。

3. 利用比与除法的关系求出第二个空的值

由比与除法的关系可知,35:()=0.735 : (\quad) = 0.7。
设括号中的数为 xx,则 35÷x=0.735 \div x = 0.7,解得:
x=35÷0.7=50x = 35 \div 0.7 = 50
所以第二个空填 5050。

4. 将小数转化为百分数

将 0.70.7 转化为百分数:
0.7=70%0.7 = 70\%
所以第三个空填 7070。

Answer

14, 50, 70

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