$\frac{1}{4} × \frac{1}{3} = (\quad)$
$(\quad) × \frac{1}{3} = (\quad)$
$(\quad) × \frac{1}{3} = (\quad)$
答案
$\frac{1}{4} × \frac{1}{3} = \frac{1}{12}$
$\frac{2}{3} × \frac{1}{3} = \frac{2}{9}$
$\frac{2}{3} × \frac{1}{3} = \frac{2}{9}$
(3)分数乘分数,用()作分子,用()作分母。
答案
分子相乘的积
分母相乘的积
分母相乘的积
(4)$\frac{1}{3}×\frac{3}{4}$表示()。
答案
$\frac{1}{3}$的$\frac{3}{4}$是多少
(5)求$\frac{3}{4}$公顷的$\frac{1}{5}$是多少,就是把$\frac{3}{4}$公顷平均分成()份,取其中的()份。
答案
5
1
1
2. 算一算。
$\frac{1}{3} × \frac{1}{2} =$
$\frac{2}{5} × \frac{3}{7} =$
$\frac{3}{11} × \frac{3}{4} =$
$\frac{2}{5} × \frac{1}{3} =$
$\frac{9}{20} × \frac{5}{6} =$
$\frac{13}{33} × \frac{11}{26} =$
$\frac{16}{21} × \frac{7}{12} =$
$\frac{5}{6} × \frac{3}{7} =$
$\frac{1}{3} × \frac{1}{2} =$
$\frac{2}{5} × \frac{3}{7} =$
$\frac{3}{11} × \frac{3}{4} =$
$\frac{2}{5} × \frac{1}{3} =$
$\frac{9}{20} × \frac{5}{6} =$
$\frac{13}{33} × \frac{11}{26} =$
$\frac{16}{21} × \frac{7}{12} =$
$\frac{5}{6} × \frac{3}{7} =$
答案
$\frac{1}{3} × \frac{1}{2} =\frac{1×1}{3×2}=\frac{1}{6}$
$\frac{2}{5} × \frac{3}{7} =\frac{2×3}{5×7}=\frac{6}{35}$
$\frac{3}{11} × \frac{3}{4} =\frac{3×3}{11×4}=\frac{9}{44}$
$\frac{2}{5} × \frac{1}{3} =\frac{2×1}{5×3}=\frac{2}{15}$
$\frac{9}{20} × \frac{5}{6} =\frac{\overset{3}{\cancel{9}}×\overset{1}{\cancel{5}}}{\underset{4}{\cancel{20}}×\underset{2}{\cancel{6}}}=\frac{3}{8}$
$\frac{13}{33} × \frac{11}{26} =\frac{\overset{1}{\cancel{13}}×\overset{1}{\cancel{11}}}{\underset{3}{\cancel{33}}×\underset{2}{\cancel{26}}}=\frac{1}{6}$
$\frac{16}{21} × \frac{7}{12} =\frac{\overset{4}{\cancel{16}}×\overset{1}{\cancel{7}}}{\underset{3}{\cancel{21}}×\underset{3}{\cancel{12}}}=\frac{4}{9}$
$\frac{5}{6} × \frac{3}{7} =\frac{5×\overset{1}{\cancel{3}}}{\underset{2}{\cancel{6}}×7}=\frac{5}{14}$
$\frac{2}{5} × \frac{3}{7} =\frac{2×3}{5×7}=\frac{6}{35}$
$\frac{3}{11} × \frac{3}{4} =\frac{3×3}{11×4}=\frac{9}{44}$
$\frac{2}{5} × \frac{1}{3} =\frac{2×1}{5×3}=\frac{2}{15}$
$\frac{9}{20} × \frac{5}{6} =\frac{\overset{3}{\cancel{9}}×\overset{1}{\cancel{5}}}{\underset{4}{\cancel{20}}×\underset{2}{\cancel{6}}}=\frac{3}{8}$
$\frac{13}{33} × \frac{11}{26} =\frac{\overset{1}{\cancel{13}}×\overset{1}{\cancel{11}}}{\underset{3}{\cancel{33}}×\underset{2}{\cancel{26}}}=\frac{1}{6}$
$\frac{16}{21} × \frac{7}{12} =\frac{\overset{4}{\cancel{16}}×\overset{1}{\cancel{7}}}{\underset{3}{\cancel{21}}×\underset{3}{\cancel{12}}}=\frac{4}{9}$
$\frac{5}{6} × \frac{3}{7} =\frac{5×\overset{1}{\cancel{3}}}{\underset{2}{\cancel{6}}×7}=\frac{5}{14}$
3. 一台割草机每小时割草$\frac{2}{3}$公顷,$\frac{1}{6}$小时割草多少公顷?
答案
$\frac{2}{3} × \frac{1}{6} = \frac{1}{9}$(公顷)
答:$\frac{1}{6}$小时割草$\frac{1}{9}$公顷。
答:$\frac{1}{6}$小时割草$\frac{1}{9}$公顷。
4. 一根圆柱形下水管长$\frac{7}{10}$ m。
(1)这根水管的$\frac{1}{2}$是多少米?
(2)这根水管的$\frac{2}{3}$是多少米?
(1)这根水管的$\frac{1}{2}$是多少米?
(2)这根水管的$\frac{2}{3}$是多少米?
答案
(1)
$\frac{7}{10} × \frac{1}{2} = \frac{7}{20}$(米)
(2)
$\frac{7}{10} × \frac{2}{3} = \frac{7}{15}$(米)
答:这根水管的$\frac{1}{2}$是$\frac{7}{20}$米,这根水管的$\frac{2}{3}$是$\frac{7}{15}$米。
$\frac{7}{10} × \frac{1}{2} = \frac{7}{20}$(米)
(2)
$\frac{7}{10} × \frac{2}{3} = \frac{7}{15}$(米)
答:这根水管的$\frac{1}{2}$是$\frac{7}{20}$米,这根水管的$\frac{2}{3}$是$\frac{7}{15}$米。
5. 华华家距离学校$\frac{25}{7}$km,她和爸爸骑自行车从家里出发,已经骑行了全程的$\frac{3}{5}$,此时他们距离中点多少千米?

答案
$\frac{25}{7} × ( \frac{3}{5} - \frac{1}{2} )$
$= \frac{25}{7} × \frac{1}{10}$
$= \frac{5}{14} \ (\mathrm{km})$
答:此时他们距离中点$\frac{5}{14}$千米。
$= \frac{25}{7} × \frac{1}{10}$
$= \frac{5}{14} \ (\mathrm{km})$
答:此时他们距离中点$\frac{5}{14}$千米。
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