1. 直接写出得数。
$\frac{5}{6} ÷ 3=$
$\frac{8}{11} ÷ 9=$
$\frac{32}{13} ÷ 8=$
$\frac{8}{11} ÷ 2=$
$\frac{24}{7} ÷ 4=$
$\frac{25}{4} ÷ 5=$
$\frac{21}{4} ÷ 7=$
$\frac{2}{9} ÷ 4=$
$\frac{16}{5} ÷ 4=$
$\frac{42}{9} ÷ 6=$
$\frac{5}{6} ÷ 3=$
$\frac{8}{11} ÷ 9=$
$\frac{32}{13} ÷ 8=$
$\frac{8}{11} ÷ 2=$
$\frac{24}{7} ÷ 4=$
$\frac{25}{4} ÷ 5=$
$\frac{21}{4} ÷ 7=$
$\frac{2}{9} ÷ 4=$
$\frac{16}{5} ÷ 4=$
$\frac{42}{9} ÷ 6=$
答案
$\frac{5}{18}$
$\frac{8}{99}$
$\frac{4}{13}$
$\frac{4}{11}$
$\frac{6}{7}$
$\frac{5}{4}$
$\frac{3}{4}$
$\frac{1}{18}$
$\frac{4}{5}$
$\frac{7}{9}$
$\frac{8}{99}$
$\frac{4}{13}$
$\frac{4}{11}$
$\frac{6}{7}$
$\frac{5}{4}$
$\frac{3}{4}$
$\frac{1}{18}$
$\frac{4}{5}$
$\frac{7}{9}$
2. 在○里填上“>”“<”或“=”。
$\frac{4}{7} ÷ 8 ◯ \frac{4}{7} × \frac{1}{8}$
$9 ÷ 3 ◯ 30 × \frac{1}{10}$
$\frac{1}{3} ÷ 5 ◯ \frac{5}{3} ÷ 25$
$\frac{3}{8} × \frac{2}{9} ◯ \frac{7}{6} ÷ 21$
$\frac{4}{7} ÷ 8 ◯ \frac{4}{7} × \frac{1}{8}$
$9 ÷ 3 ◯ 30 × \frac{1}{10}$
$\frac{1}{3} ÷ 5 ◯ \frac{5}{3} ÷ 25$
$\frac{3}{8} × \frac{2}{9} ◯ \frac{7}{6} ÷ 21$
答案
$\frac{4}{7} ÷8 = \frac{4}{7} × \frac{1}{8}$,所以填=;
$9 ÷3 = 3$,$30 × \frac{1}{10}=3$,所以填=;
$\frac{1}{3} ÷5 = \frac{1}{15}$,$\frac{5}{3} ÷25 = \frac{1}{15}$,所以填=;
$\frac{3}{8} × \frac{2}{9} = \frac{1}{12}$,$\frac{7}{6} ÷21 = \frac{1}{18}$,因为$\frac{1}{12} > \frac{1}{18}$,所以填>;
$9 ÷3 = 3$,$30 × \frac{1}{10}=3$,所以填=;
$\frac{1}{3} ÷5 = \frac{1}{15}$,$\frac{5}{3} ÷25 = \frac{1}{15}$,所以填=;
$\frac{3}{8} × \frac{2}{9} = \frac{1}{12}$,$\frac{7}{6} ÷21 = \frac{1}{18}$,因为$\frac{1}{12} > \frac{1}{18}$,所以填>;
3. 填一填。
$(\quad) × 6 = \dfrac{5}{6}$
$(\quad) × 2 = \dfrac{1}{2}$
$(\quad) × 7 = \dfrac{1}{5}$
$(\quad) × 10 = \dfrac{2}{7}$
$(\quad) × 14 = \dfrac{42}{11}$
$(\quad) × 15 = \dfrac{5}{9}$
$(\quad) × 6 = \dfrac{5}{6}$
$(\quad) × 2 = \dfrac{1}{2}$
$(\quad) × 7 = \dfrac{1}{5}$
$(\quad) × 10 = \dfrac{2}{7}$
$(\quad) × 14 = \dfrac{42}{11}$
$(\quad) × 15 = \dfrac{5}{9}$
答案
解:
$\dfrac{5}{6} ÷ 6 = \dfrac{5}{6} × \dfrac{1}{6} = \dfrac{5}{36}$
$\dfrac{1}{2} ÷ 2 = \dfrac{1}{2} × \dfrac{1}{2} = \dfrac{1}{4}$
$\dfrac{1}{5} ÷ 7 = \dfrac{1}{5} × \dfrac{1}{7} = \dfrac{1}{35}$
$\dfrac{2}{7} ÷ 10 = \dfrac{2}{7} × \dfrac{1}{10} = \dfrac{1}{35}$
$\dfrac{42}{11} ÷ 14 = \dfrac{42}{11} × \dfrac{1}{14} = \dfrac{3}{11}$
$\dfrac{5}{9} ÷ 15 = \dfrac{5}{9} × \dfrac{1}{15} = \dfrac{1}{27}$
答案依次为:$\dfrac{5}{36}$,$\dfrac{1}{4}$,$\dfrac{1}{35}$,$\dfrac{1}{35}$,$\dfrac{3}{11}$,$\dfrac{1}{27}$
$\dfrac{5}{6} ÷ 6 = \dfrac{5}{6} × \dfrac{1}{6} = \dfrac{5}{36}$
$\dfrac{1}{2} ÷ 2 = \dfrac{1}{2} × \dfrac{1}{2} = \dfrac{1}{4}$
$\dfrac{1}{5} ÷ 7 = \dfrac{1}{5} × \dfrac{1}{7} = \dfrac{1}{35}$
$\dfrac{2}{7} ÷ 10 = \dfrac{2}{7} × \dfrac{1}{10} = \dfrac{1}{35}$
$\dfrac{42}{11} ÷ 14 = \dfrac{42}{11} × \dfrac{1}{14} = \dfrac{3}{11}$
$\dfrac{5}{9} ÷ 15 = \dfrac{5}{9} × \dfrac{1}{15} = \dfrac{1}{27}$
答案依次为:$\dfrac{5}{36}$,$\dfrac{1}{4}$,$\dfrac{1}{35}$,$\dfrac{1}{35}$,$\dfrac{3}{11}$,$\dfrac{1}{27}$
4. 3个苹果的质量为$\frac{3}{5}\ \mathrm{kg}$,平均每个苹果的质量为多少千克?照这样计算,5个苹果的质量是多少千克?

答案
$\frac{3}{5} ÷ 3 = \frac{1}{5}$(千克)
$\frac{1}{5} × 5 = 1$(千克)
答:平均每个苹果的质量为$\frac{1}{5}$千克,5个苹果的质量是1千克。
$\frac{1}{5} × 5 = 1$(千克)
答:平均每个苹果的质量为$\frac{1}{5}$千克,5个苹果的质量是1千克。
5. 一辆货车在运一堆煤,6次运了这堆煤的$\frac{3}{7}$,平均每次运这堆煤的几分之几?
答案
$\frac{3}{7} ÷ 6 = \frac{3}{7} × \frac{1}{6} = \frac{1}{14}$
答:平均每次运这堆煤的$\frac{1}{14}$。
答:平均每次运这堆煤的$\frac{1}{14}$。
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