《2025年天天练口算六年级数学上册人教版》

根据乘法算式写出两道除法算式
$\frac{2}{3}×5= \frac{10}{3}$$\longrightarrow$$\left\{\begin{array}{l} $\frac{10}{3}$÷$\frac{2}{3}$= 5\\ $\frac{10}{3}$÷5= $\frac{2}{3}$\end{array} \right.$
$\frac{5}{7}×\frac{3}{4}= \frac{15}{28}$$\longrightarrow$$\left\{\begin{array}{l} $\frac{15}{28}$÷$\frac{5}{7}$= $\frac{3}{4}$\\ $\frac{15}{28}$÷$\frac{3}{4}$= $\frac{5}{7}$\end{array} \right.$
........................................................

答案： 解析：
题目考查乘除法的互逆关系，即如果 $a × b = c$，那么可以得出两道除法算式：$c ÷ a = b$ 和 $c ÷ b = a$。
对于 $\frac{2}{3} × 5 = \frac{10}{3}$，可以写出两道除法算式为：$\frac{10}{3} ÷ \frac{2}{3} = 5$，$\frac{10}{3} ÷ 5 = \frac{2}{3}$。
对于 $\frac{5}{7} × \frac{3}{4} = \frac{15}{28}$，可以写出两道除法算式为：$\frac{15}{28} ÷ \frac{5}{7} = \frac{3}{4}$，$\frac{15}{28} ÷ \frac{3}{4} = \frac{5}{7}$。
答案：
$\frac{10}{3} ÷ \frac{2}{3} = 5$；$\frac{10}{3} ÷ 5 = \frac{2}{3}$；
$\frac{15}{28} ÷ \frac{5}{7} = \frac{3}{4}$；$\frac{15}{28} ÷ \frac{3}{4} = \frac{5}{7}$。

$4÷\frac{2}{11}=$22
$\frac{6}{7}÷\frac{2}{7}=$3
$\frac{7}{11}÷14=$$\frac{1}{22}$
$\frac{1}{3}÷\frac{1}{12}=$4
$\frac{1}{7}÷\frac{5}{21}=$$\frac{3}{5}$
$4÷\frac{7}{8}=$$\frac{32}{7}$
$\frac{7}{15}÷\frac{2}{5}=$$\frac{7}{6}$
$\frac{7}{12}÷\frac{3}{4}=$$\frac{7}{9}$
$\frac{1}{28}÷\frac{1}{14}=$$\frac{1}{2}$
$\frac{1}{7}÷\frac{1}{14}=$2
$\frac{7}{15}÷\frac{2}{15}=$$\frac{7}{2}$
$\frac{5}{7}÷\frac{15}{2}=$$\frac{2}{21}$
$\frac{3}{14}÷\frac{6}{7}=$$\frac{1}{4}$
$\frac{5}{7}÷\frac{10}{21}=$$\frac{3}{2}$
$\frac{5}{6}÷1=$$\frac{5}{6}$
$\frac{8}{15}÷\frac{4}{5}=$$\frac{2}{3}$
$\frac{4}{5}÷\frac{8}{15}=$$\frac{3}{2}$
$\frac{5}{6}÷\frac{5}{6}=$1
$\frac{3}{20}÷\frac{3}{10}=$$\frac{1}{2}$
$\frac{4}{9}×\frac{3}{8}=$$\frac{1}{6}$
$\frac{2}{15}÷10=$$\frac{1}{75}$
$\frac{5}{9}÷\frac{7}{9}=$$\frac{5}{7}$
$\frac{3}{22}÷\frac{4}{33}=$$\frac{9}{8}$
$\frac{9}{10}÷\frac{3}{2}=$$\frac{3}{5}$
$\frac{2}{9}÷\frac{4}{27}=$$\frac{3}{2}$
$\frac{15}{36}×\frac{18}{35}=$$\frac{3}{14}$
$63÷\frac{7}{9}=$81
$\frac{7}{24}÷7=$$\frac{1}{24}$
$\frac{7}{48}×24=$$\frac{7}{2}$
$\frac{1}{4}÷\frac{4}{5}=$$\frac{5}{16}$

答案： 解析：这些题目都是有关分数的除法运算。需要将除法转换为乘法，即乘以分母的倒数，然后进行计算。
答案：
$4 ÷ \frac{2}{11} = 4 × \frac{11}{2} = \frac{44}{2} = 22$
$\frac{6}{7} ÷ \frac{2}{7} = \frac{6}{7} × \frac{7}{2} = \frac{42}{14} = 3$
$\frac{7}{11} ÷ 14 = \frac{7}{11} × \frac{1}{14} = \frac{7}{154} = \frac{1}{22}$
$\frac{1}{3} ÷ \frac{1}{12} = \frac{1}{3} × 12 = 4$
$\frac{1}{7} ÷ \frac{5}{21} = \frac{1}{7} × \frac{21}{5} = \frac{21}{35} = \frac{3}{5}$
$4 ÷ \frac{7}{8} = 4 × \frac{8}{7} = \frac{32}{7} = 4\frac{4}{7}$
$\frac{7}{15} ÷ \frac{2}{5} = \frac{7}{15} × \frac{5}{2} = \frac{35}{30} = \frac{7}{6} = 1\frac{1}{6}$
$\frac{7}{12} ÷ \frac{3}{4} = \frac{7}{12} × \frac{4}{3} = \frac{28}{36} = \frac{7}{9}$
$\frac{1}{28} ÷ \frac{1}{14} = \frac{1}{28} × 14 = \frac{14}{28} = \frac{1}{2}$
$\frac{1}{7} ÷ \frac{1}{14} = \frac{1}{7} × 14 = 2$
$\frac{7}{15} ÷ \frac{2}{15} = \frac{7}{15} × \frac{15}{2} = \frac{105}{30} = \frac{7}{2} = 3\frac{1}{2}$
$\frac{5}{7} ÷ \frac{15}{2} = \frac{5}{7} × \frac{2}{15} = \frac{10}{105} = \frac{2}{21}$
$\frac{3}{14} ÷ \frac{6}{7} = \frac{3}{14} × \frac{7}{6} = \frac{21}{84} = \frac{1}{4}$
$\frac{5}{7} ÷ \frac{10}{21} = \frac{5}{7} × \frac{21}{10} = \frac{105}{70} = \frac{3}{2} = 1\frac{1}{2}$
$\frac{5}{6} ÷ 1 = \frac{5}{6}$
$\frac{8}{15} ÷ \frac{4}{5} = \frac{8}{15} × \frac{5}{4} = \frac{40}{60} = \frac{2}{3}$
$\frac{4}{5} ÷ \frac{8}{15} = \frac{4}{5} × \frac{15}{8} = \frac{60}{40} = \frac{3}{2} = 1\frac{1}{2}$
$\frac{5}{6} ÷ \frac{5}{6} = 1$
$\frac{3}{20} ÷ \frac{3}{10} = \frac{3}{20} × \frac{10}{3} = \frac{30}{60} = \frac{1}{2}$
$\frac{4}{9} × \frac{3}{8} = \frac{12}{72} = \frac{1}{6}$
$\frac{2}{15} ÷ 10 = \frac{2}{15} × \frac{1}{10} = \frac{2}{150} = \frac{1}{75}$
$\frac{5}{9} ÷ \frac{7}{9} = \frac{5}{9} × \frac{9}{7} = \frac{45}{63} = \frac{5}{7}$
$\frac{3}{22} ÷ \frac{4}{33} = \frac{3}{22} × \frac{33}{4} = \frac{99}{88} = \frac{9}{8} = 1\frac{1}{8}$
$\frac{9}{10} ÷ \frac{3}{2} = \frac{9}{10} × \frac{2}{3} = \frac{18}{30} = \frac{3}{5}$
$\frac{2}{9} ÷ \frac{4}{27} = \frac{2}{9} × \frac{27}{4} = \frac{54}{36} = \frac{3}{2} = 1\frac{1}{2}$
$\frac{15}{36} × \frac{18}{35} = \frac{270}{1260} = \frac{3}{14}$
$63 ÷ \frac{7}{9} = 63 × \frac{9}{7} = \frac{567}{7} = 81$
$\frac{7}{24} ÷ 7 = \frac{7}{24} × \frac{1}{7} = \frac{7}{168} = \frac{1}{24}$
$\frac{7}{48} × 24 = \frac{168}{48} = \frac{7}{2} = 3\frac{1}{2}$
$\frac{1}{4} ÷ \frac{4}{5} = \frac{1}{4} × \frac{5}{4} = \frac{5}{16}$