6÷6÷=18(ㅤㅤ)==\dfrac{18}{(ㅤㅤ)}=:12=0.75=12=0.75=___%%

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Worked solution

1. 将小数化为最简分数和百分数

首先,将小数 0.750.75 化成分数,得 0.75=75100=340.75 = \dfrac{75}{100} = \dfrac{3}{4};
其次,将小数 0.750.75 化成百分数,只需将小数点向右移动两位,并添上百分号,即 0.75=75%0.75 = 75\%。
因此,最后一个空填 7575。

2. 利用除法、分数和比的关系以及基本性质求出其他空的值

根据分数、除法和比的关系,将最简分数 34\dfrac{3}{4} 进行等值转化:

  1. 根据商不变的性质,被除数和除数同时乘相同的数(零除外),商不变:
    34=3÷4=(3×2)÷(4×2)=6÷8\dfrac{3}{4} = 3 \div 4 = (3 \times 2) \div (4 \times 2) = 6 \div 8,所以除数处填 88;
  2. 根据分数的基本性质,分数的分子和分母同时乘相同的数(零除外),分数的大小不变:
    34=3×64×6=1824\dfrac{3}{4} = \dfrac{3 \times 6}{4 \times 6} = \dfrac{18}{24},所以分母处填 2424;
  3. 根据比的基本性质,比的前项和后项同时乘相同的数(零除外),比值不变:
    34=3:4=(3×3):(4×3)=9:12\dfrac{3}{4} = 3 : 4 = (3 \times 3) : (4 \times 3) = 9 : 12,所以比的前项处填 99。

综合以上,等式为:
6÷8=1824=9:12=0.75=75%6 \div 8 = \dfrac{18}{24} = 9 : 12 = 0.75 = 75\%

Answer

8, 24, 9, 75

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