分数乘除法测试卷及答案

分数乘除法测试卷及答案考试时间：120分钟 总分：100分 年级/班级：__________

试标题是:“分数乘除法测试卷及答案”

一、选择题

1.分数\(\frac{3}{4}\)乘以\(\frac{2}{5}\)的结果是（）

A.\(\frac{1}{2}\)

B.\(\frac{5}{6}\)

C.\(\frac{3}{10}\)

D.\(\frac{7}{8}\)

2.分数\(\frac{5}{6}\)除以\(\frac{2}{3}\)的结果是（）

A.\(\frac{5}{4}\)

B.\(\frac{3}{2}\)

C.\(\frac{10}{3}\)

D.\(\frac{2}{5}\)

3.分数\(\frac{7}{8}\)乘以\(\frac{3}{4}\)再除以\(\frac{1}{2}\)的结果是（）

A.\(\frac{21}{32}\)

B.\(\frac{49}{64}\)

C.\(\frac{7}{16}\)

D.\(\frac{3}{4}\)

4.分数\(\frac{2}{3}\)除以\(\frac{4}{5}\)的结果是（）

A.\(\frac{5}{6}\)

B.\(\frac{3}{4}\)

C.\(\frac{10}{9}\)

D.\(\frac{8}{15}\)

5.分数\(\frac{9}{10}\)乘以\(\frac{5}{6}\)再乘以\(\frac{2}{3}\)的结果是（）

A.\(\frac{1}{2}\)

B.\(\frac{3}{4}\)

C.\(\frac{5}{6}\)

D.\(\frac{7}{8}\)

6.分数\(\frac{4}{5}\)除以\(\frac{8}{9}\)的结果是（）

A.\(\frac{9}{10}\)

B.\(\frac{2}{3}\)

C.\(\frac{5}{6}\)

D.\(\frac{3}{4}\)

7.分数\(\frac{3}{5}\)乘以\(\frac{7}{8}\)再除以\(\frac{2}{3}\)的结果是（）

A.\(\frac{21}{40}\)

B.\(\frac{7}{10}\)

C.\(\frac{3}{4}\)

D.\(\frac{5}{6}\)

8.分数\(\frac{5}{6}\)除以\(\frac{3}{4}\)的结果是（）

A.\(\frac{10}{9}\)

B.\(\frac{5}{4}\)

C.\(\frac{3}{2}\)

D.\(\frac{2}{3}\)

9.分数\(\frac{2}{3}\)乘以\(\frac{5}{6}\)再除以\(\frac{1}{2}\)的结果是（）

A.\(\frac{5}{3}\)

B.\(\frac{10}{9}\)

C.\(\frac{3}{4}\)

D.\(\frac{2}{5}\)

10.分数\(\frac{7}{8}\)除以\(\frac{5}{6}\)的结果是（）

A.\(\frac{21}{20}\)

B.\(\frac{3}{4}\)

C.\(\frac{5}{6}\)

D.\(\frac{7}{10}\)

二、填空题

1.分数\(\frac{3}{4}\)乘以\(\frac{2}{5}\)的结果是______。

2.分数\(\frac{5}{6}\)除以\(\frac{2}{3}\)的结果是______。

3.分数\(\frac{7}{8}\)乘以\(\frac{3}{4}\)再除以\(\frac{1}{2}\)的结果是______。

4.分数\(\frac{2}{3}\)除以\(\frac{4}{5}\)的结果是______。

5.分数\(\frac{9}{10}\)乘以\(\frac{5}{6}\)再乘以\(\frac{2}{3}\)的结果是______。

6.分数\(\frac{4}{5}\)除以\(\frac{8}{9}\)的结果是______。

7.分数\(\frac{3}{5}\)乘以\(\frac{7}{8}\)再除以\(\frac{2}{3}\)的结果是______。

8.分数\(\frac{5}{6}\)除以\(\frac{3}{4}\)的结果是______。

9.分数\(\frac{2}{3}\)乘以\(\frac{5}{6}\)再除以\(\frac{1}{2}\)的结果是______。

10.分数\(\frac{7}{8}\)除以\(\frac{5}{6}\)的结果是______。

三、多选题

1.下列分数乘法计算正确的有（）

A.\(\frac{3}{4}\times\frac{2}{5}=\frac{6}{20}\)

B.\(\frac{5}{6}\times\frac{2}{3}=\frac{10}{18}\)

C.\(\frac{7}{8}\times\frac{3}{4}=\frac{21}{32}\)

D.\(\frac{2}{3}\times\frac{4}{5}=\frac{8}{15}\)

2.下列分数除法计算正确的有（）

A.\(\frac{5}{6}\div\frac{2}{3}=\frac{15}{12}\)

B.\(\frac{7}{8}\div\frac{3}{4}=\frac{28}{24}\)

C.\(\frac{2}{3}\div\frac{4}{5}=\frac{10}{12}\)

D.\(\frac{9}{10}\div\frac{5}{6}=\frac{54}{50}\)

3.下列分数乘除法计算正确的有（）

A.\(\frac{3}{4}\times\frac{2}{5}\div\frac{1}{2}=\frac{6}{10}\)

B.\(\frac{5}{6}\div\frac{2}{3}\times\frac{3}{4}=\frac{15}{16}\)

C.\(\frac{7}{8}\times\frac{3}{4}\div\frac{1}{2}=\frac{21}{16}\)

D.\(\frac{2}{3}\times\frac{4}{5}\div\frac{1}{2}=\frac{8}{5}\)

4.下列分数乘除法计算正确的有（）

A.\(\frac{9}{10}\times\frac{5}{6}\div\frac{2}{3}=\frac{15}{12}\)

B.\(\frac{4}{5}\div\frac{8}{9}\times\frac{3}{4}=\frac{12}{20}\)

C.\(\frac{3}{5}\times\frac{7}{8}\div\frac{2}{3}=\frac{21}{40}\)

D.\(\frac{5}{6}\div\frac{3}{4}\times\frac{2}{3}=\frac{10}{9}\)

5.下列分数乘除法计算正确的有（）

A.\(\frac{7}{8}\div\frac{5}{6}\times\frac{3}{4}=\frac{21}{32}\)

B.\(\frac{2}{3}\times\frac{5}{6}\div\frac{1}{2}=\frac{5}{3}\)

C.\(\frac{3}{4}\times\frac{2}{5}\div\frac{1}{2}=\frac{6}{10}\)

D.\(\frac{5}{6}\div\frac{2}{3}\times\frac{4}{5}=\frac{10}{9}\)

四、判断题

1.分数\(\frac{3}{4}\)乘以\(\frac{2}{5}\)等于\(\frac{1}{2}\)。（）

2.分数\(\frac{5}{6}\)除以\(\frac{2}{3}\)等于\(\frac{3}{2}\)。（）

3.分数\(\frac{7}{8}\)乘以\(\frac{3}{4}\)再除以\(\frac{1}{2}\)等于\(\frac{7}{4}\)。（）

4.分数\(\frac{2}{3}\)除以\(\frac{4}{5}\)等于\(\frac{5}{6}\)。（）

5.分数\(\frac{9}{10}\)乘以\(\frac{5}{6}\)再乘以\(\frac{2}{3}\)等于\(1\)。（）

6.分数\(\frac{4}{5}\)除以\(\frac{8}{9}\)等于\(\frac{9}{10}\)。（）

7.分数\(\frac{3}{5}\)乘以\(\frac{7}{8}\)再除以\(\frac{2}{3}\)等于\(\frac{7}{10}\)。（）

8.分数\(\frac{5}{6}\)除以\(\frac{3}{4}\)等于\(\frac{10}{9}\)。（）

9.分数\(\frac{2}{3}\)乘以\(\frac{5}{6}\)再除以\(\frac{1}{2}\)等于\(2\)。（）

10.分数\(\frac{7}{8}\)除以\(\frac{5}{6}\)等于\(\frac{21}{20}\)。（）

五、问答题

1.解释如何进行两个分数的乘法运算。

2.解释如何进行两个分数的除法运算。

3.解释分数乘法和除法运算中，分子和分母是如何变化的。

试卷答案

一、选择题

1.C

解析：分数乘法，分子相乘，分母相乘，即\(\frac{3}{4}\times\frac{2}{5}=\frac{3\times2}{4\times5}=\frac{6}{20}\)，约分得\(\frac{3}{10}\)。

2.B

解析：分数除法，乘以除数的倒数，即\(\frac{5}{6}\div\frac{2}{3}=\frac{5}{6}\times\frac{3}{2}=\frac{5\times3}{6\times2}=\frac{15}{12}\)，约分得\(\frac{5}{4}\)。

3.C

解析：先乘法后除法，分子分母分别相乘再相除，即\(\frac{7}{8}\times\frac{3}{4}\div\frac{1}{2}=\frac{21}{32}\div\frac{1}{2}=\frac{21}{32}\times2=\frac{42}{32}\)，约分得\(\frac{7}{16}\)。

4.A

解析：分数除法，乘以除数的倒数，即\(\frac{2}{3}\div\frac{4}{5}=\frac{2}{3}\times\frac{5}{4}=\frac{2\times5}{3\times4}=\frac{10}{12}\)，约分得\(\frac{5}{6}\)。

5.A

解析：分数乘法，分子分母分别相乘，即\(\frac{9}{10}\times\frac{5}{6}\times\frac{2}{3}=\frac{9\times5\times2}{10\times6\times3}=\frac{90}{180}\)，约分得\(\frac{1}{2}\)。

6.D

解析：分数除法，乘以除数的倒数，即\(\frac{4}{5}\div\frac{8}{9}=\frac{4}{5}\times\frac{9}{8}=\frac{4\times9}{5\times8}=\frac{36}{40}\)，约分得\(\frac{9}{10}\)。

7.A

解析：先乘法后除法，分子分母分别相乘再相除，即\(\frac{3}{5}\times\frac{7}{8}\div\frac{2}{3}=\frac{21}{40}\div\frac{2}{3}=\frac{21}{40}\times\frac{3}{2}=\frac{63}{80}\)，约分得\(\frac{21}{40}\)。

8.A

解析：分数除法，乘以除数的倒数，即\(\frac{5}{6}\div\frac{3}{4}=\frac{5}{6}\times\frac{4}{3}=\frac{5\times4}{6\times3}=\frac{20}{18}\)，约分得\(\frac{10}{9}\)。

9.A

解析：先乘法后除法，分子分母分别相乘再相除，即\(\frac{2}{3}\times\frac{5}{6}\div\frac{1}{2}=\frac{10}{18}\div\frac{1}{2}=\frac{10}{18}\times2=\frac{20}{18}\)，约分得\(\frac{10}{9}\)。

10.A

解析：分数除法，乘以除数的倒数，即\(\frac{7}{8}\div\frac{5}{6}=\frac{7}{8}\times\frac{6}{5}=\frac{7\times6}{8\times5}=\frac{42}{40}\)，约分得\(\frac{21}{20}\)。

二、填空题

1.\(\frac{3}{4}\times\frac{2}{5}=\frac{6}{20}=\frac{3}{10}\)

2.\(\frac{5}{6}\div\frac{2}{3}=\frac{5}{6}\times\frac{3}{2}=\frac{15}{12}=\frac{5}{4}\)

3.\(\frac{7}{8}\times\frac{3}{4}\div\frac{1}{2}=\frac{21}{32}\div\frac{1}{2}=\frac{21}{32}\times2=\frac{42}{32}=\frac{21}{16}\)

4.\(\frac{2}{3}\div\frac{4}{5}=\frac{2}{3}\times\frac{5}{4}=\frac{10}{12}=\frac{5}{6}\)

5.\(\frac{9}{10}\times\frac{5}{6}\times\frac{2}{3}=\frac{45}{60}\times\frac{2}{3}=\frac{90}{180}=\frac{1}{2}\)

6.\(\frac{4}{5}\div\frac{8}{9}=\frac{4}{5}\times\frac{9}{8}=\frac{36}{40}=\frac{9}{10}\)

7.\(\frac{3}{5}\times\frac{7}{8}\div\frac{2}{3}=\frac{21}{40}\div\frac{2}{3}=\frac{63}{80}\)

8.\(\frac{5}{6}\div\frac{3}{4}=\frac{5}{6}\times\frac{4}{3}=\frac{20}{18}=\frac{10}{9}\)

9.\(\frac{2}{3}\times\frac{5}{6}\div\frac{1}{2}=\frac{10}{18}\div\frac{1}{2}=\frac{20}{18}=\frac{10}{9}\)

10.\(\frac{7}{8}\div\frac{5}{6}=\frac{7}{8}\times\frac{6}{5}=\frac{42}{40}=\frac{21}{20}\)

三、多选题

1.A,C,D

解析：A.\(\frac{3}{4}\times\frac{2}{5}=\frac{6}{20}=\frac{3}{10}\)，正确；B.\(\frac{5}{6}\times\frac{2}{3}=\frac{10}{18}=\frac{5}{9}\)，错误；C.\(\frac{7}{8}\times\frac{3}{4}=\frac{21}{32}\)，正确；D.\(\frac{2}{3}\times\frac{4}{5}=\frac{8}{15}\)，正确。

2.B,C,D

解析：A.\(\frac{5}{6}\div\frac{2}{3}=\frac{5}{6}\times\frac{3}{2}=\frac{15}{12}=\frac{5}{4}\)，错误；B.\(\frac{7}{8}\div\frac{3}{4}=\frac{7}{8}\times\frac{4}{3}=\frac{28}{24}=\frac{7}{6}\)，错误，正确结果为\(\frac{7}{6}\)；C.\(\frac{2}{3}\div\frac{4}{5}=\frac{2}{3}\times\frac{5}{4}=\frac{10}{12}=\frac{5}{6}\)，正确；D.\(\frac{9}{10}\div\frac{5}{6}=\frac{9}{10}\times\frac{6}{5}=\frac{54}{50}=\frac{27}{25}\)，错误，正确结果为\(\frac{27}{25}\)。

3.A,B,C

解析：A.\(\frac{3}{4}\times\frac{2}{5}\div\frac{1}{2}=\frac{6}{20}\div\frac{1}{2}=\frac{6}{20}\times2=\frac{12}{20}=\frac{3}{5}\)，错误，正确结果为\(\frac{3}{5}\)；B.\(\frac{5}{6}\div\frac{2}{3}\times\frac{3}{4}=\frac{5}{6}\times\frac{3}{2}\times\frac{3}{4}=\frac{15}{12}\times\frac{3}{4}=\frac{45}{48}=\frac{15}{16}\)，错误，正确结果为\(\frac{15}{16}\)；C.\(\frac{7}{8}\times\frac{3}{4}\div\frac{1}{2}=\frac{21}{32}\div\frac{1}{2}=\frac{21}{32}\times2=\frac{42}{32}=\frac{21}{16}\)，正确。

4.A,C,D

解析：A.\(\frac{9}{10}\times\frac{5}{6}\div\frac{2}{3}=\frac{45}{60}\div\frac{2}{3}=\frac{45}{60}\times\frac{3}{2}=\frac{135}{120}=\frac{9}{8}\)，错误，正确结果为\(\frac{9}{8}\)；B.\(\frac{4}{5}\div\frac{8}{9}\times\frac{3}{4}=\frac{4}{5}\times\frac{9}{8}\times\frac{3}{4}=\frac{36}{40}\times\frac{3}{4}=\frac{108}{160}=\frac{27}{40}\)，错误，正确结果为\(\frac{27}{40}\)；C.\(\frac{3}{5}\times\frac{7}{8}\div\frac{2}{3}=\frac{21}{40}\div\frac{2}{3}=\frac{63}{80}\)，正确；D.\(\frac{5}{6}\div\frac{3}{4}\times\frac{2}{3}=\frac{5}{6}\times\frac{4}{3}\times\frac{2}{3}=\frac{20}{18}\times\frac{2}{3}=\frac{40}{54}=\frac{20}{27}\)，错误，正确结果为\(\frac{20}{27}\)。

5.A,B,C

解析：A.\(\frac{7}{8}\div\frac{5}{6}\times\frac{3}{4}=\frac{7}{8}\times\frac{6}{5}\times\frac{3}{4}=\frac{42}{40}\times\frac{3}{4}=\frac{126}{160}=\frac{63}{80}\)，错误，正确结果为\(\frac{63}{80}\)；B.\(\frac{2}{3}\times\frac{5}{6}\div\frac{1}{2}=\frac{10}{18}\div\frac{1}{2}=\frac{20}{18}=\frac{10}{9}\)，正确；C.\(\frac{3}{4}\times\frac{2}{5}\div\frac{1}{2}=\frac{6}{20}\div\frac{1}{2}=\frac{6}{20}\times2=\frac{12}{20}=\frac{3}{5}\)，错误，正确结果为\(\frac{3}{5}\)；D.\(\frac{5}{6}\div\frac{2}{3}\times\frac{4}{5}=\frac{5}{6}\times\frac{3}{2}\times\frac{4}{5}=\frac{15}{12}\times\frac{4}{5}=\frac{60}{60}=1\)，错误，正确结果为\(1\)。

四、判断题

1.错

解析：\(\frac{3}{4}\times\frac{2}{5}=\frac{6}{20}=\frac{3}{10}\)，不等于\(\frac{1}{2}\)。

2.对

解析：\(\frac{5}{6}\div\frac{2}{3}=\frac{5}{6}\times\frac{3}{2}=\frac{15}{12}=\frac{5}{4}\)，等于\(\frac{3}{2}\)。

3.错

解析：\(\frac{7}{8}\times\frac{3}{4}\div\frac{1}{2}=\frac{21}{32}\div\frac{1}{2}=\frac{21}{32}\times2=\frac{42}{32}=\frac{21}{16}\)，不等于\(\frac{7}{4}\)。

4.对

解析：