分数乘法50道带答案，含详细解析吗？适合什么年级？

，掌握分数乘法的计算方法对后续学习分数除法、百分数等知识至关重要，本文将提供50道分数乘法练习题，涵盖基础乘法、整数与分数相乘、分数与分数相乘、带分数乘法以及混合运算等多种题型，并附有详细答案，帮助学生巩固所学知识,提升计算能力。

分数乘法练习题及答案

基础分数乘法（1-10题）

1. ( \frac{2}{3} \times \frac{1}{4} = )
   答案：( \frac{2 \times 1}{3 \times 4} = \frac{2}{12} = \frac{1}{6} )

2. ( \frac{3}{5} \times \frac{2}{7} = )
   答案：( \frac{3 \times 2}{5 \times 7} = \frac{6}{35} )

3. ( \frac{4}{9} \times \frac{3}{8} = )
   答案：( \frac{4 \times 3}{9 \times 8} = \frac{12}{72} = \frac{1}{6} )

4. ( \frac{5}{6} \times \frac{7}{10} = )
   答案：( \frac{5 \times 7}{6 \times 10} = \frac{35}{60} = \frac{7}{12} )

5. ( \frac{1}{2} \times \frac{2}{3} = )
   答案：( \frac{1 \times 2}{2 \times 3} = \frac{2}{6} = \frac{1}{3} )

6. ( \frac{3}{4} \times \frac{4}{5} = )
   答案：( \frac{3 \times 4}{4 \times 5} = \frac{12}{20} = \frac{3}{5} )

7. ( \frac{2}{7} \times \frac{3}{14} = )
   答案：( \frac{2 \times 3}{7 \times 14} = \frac{6}{98} = \frac{3}{49} )

8. ( \frac{5}{8} \times \frac{2}{15} = )
   答案：( \frac{5 \times 2}{8 \times 15} = \frac{10}{120} = \frac{1}{12} )

9. ( \frac{7}{9} \times \frac{3}{21} = )
   答案：( \frac{7 \times 3}{9 \times 21} = \frac{21}{189} = \frac{1}{9} )

10. ( \frac{4}{11} \times \frac{5}{22} = )
    答案：( \frac{4 \times 5}{11 \times 22} = \frac{20}{242} = \frac{10}{121} )

整数与分数相乘（11-20题）

11. ( 6 \times \frac{1}{3} = )
    答案：( \frac{6 \times 1}{3} = \frac{6}{3} = 2 )

12. ( 8 \times \frac{3}{4} = )
    答案：( \frac{8 \times 3}{4} = \frac{24}{4} = 6 )

13. ( 12 \times \frac{5}{6} = )
    答案：( \frac{12 \times 5}{6} = \frac{60}{6} = 10 )

14. ( 15 \times \frac{2}{5} = )
    答案：( \frac{15 \times 2}{5} = \frac{30}{5} = 6 )

15. ( 20 \times \frac{3}{10} = )
    答案：( \frac{20 \times 3}{10} = \frac{60}{10} = 6 )

16. ( 7 \times \frac{4}{7} = )
    答案：( \frac{7 \times 4}{7} = \frac{28}{7} = 4 )

17. ( 9 \times \frac{2}{3} = )
    答案：( \frac{9 \times 2}{3} = \frac{18}{3} = 6 )

18. ( 11 \times \frac{6}{11} = )
    答案：( \frac{11 \times 6}{11} = \frac{66}{11} = 6 )

19. ( 14 \times \frac{3}{7} = )
    答案：( \frac{14 \times 3}{7} = \frac{42}{7} = 6 )

20. ( 18 \times \frac{5}{9} = )
    答案：( \frac{18 \times 5}{9} = \frac{90}{9} = 10 )

带分数乘法（21-30题）

21. ( 1\frac{1}{2} \times \frac{2}{3} = )
    答案：( \frac{3}{2} \times \frac{2}{3} = \frac{6}{6} = 1 )

22. ( 2\frac{1}{3} \times \frac{3}{7} = )
    答案：( \frac{7}{3} \times \frac{3}{7} = \frac{21}{21} = 1 )

23. ( 3\frac{1}{4} \times \frac{4}{13} = )
    答案：( \frac{13}{4} \times \frac{4}{13} = \frac{52}{52} = 1 )

24. ( 1\frac{2}{5} \times \frac{5}{7} = )
    答案：( \frac{7}{5} \times \frac{5}{7} = \frac{35}{35} = 1 )

25. ( 4\frac{1}{6} \times \frac{6}{25} = )
    答案：( \frac{25}{6} \times \frac{6}{25} = \frac{150}{150} = 1 )

26. ( 2\frac{3}{8} \times \frac{8}{19} = )
    答案：( \frac{19}{8} \times \frac{8}{19} = \frac{152}{152} = 1 )

27. ( 3\frac{2}{5} \times \frac{5}{17} = )
    答案：( \frac{17}{5} \times \frac{5}{17} = \frac{85}{85} = 1 )

28. ( 1\frac{3}{7} \times \frac{7}{10} = )
    答案：( \frac{10}{7} \times \frac{7}{10} = \frac{70}{70} = 1 )

29. ( 5\frac{1}{3} \times \frac{3}{16} = )
    答案：( \frac{16}{3} \times \frac{3}{16} = \frac{48}{48} = 1 )

30. ( 2\frac{5}{6} \times \frac{6}{17} = )
    答案：( \frac{17}{6} \times \frac{6}{17} = \frac{102}{102} = 1 )

混合运算（31-40题）

31. ( \frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} = )
    答案：( \frac{1 \times 2 \times 3}{2 \times 3 \times 4} = \frac{6}{24} = \frac{1}{4} )

32. ( \frac{2}{5} \times \frac{5}{8} \times \frac{8}{11} = )
    答案：( \frac{2 \times 5 \times 8}{5 \times 8 \times 11} = \frac{80}{440} = \frac{2}{11} )

33. ( 3 \times \frac{1}{3} \times \frac{2}{5} = )
    答案：( \frac{3 \times 1 \times 2}{3 \times 5} = \frac{6}{15} = \frac{2}{5} )

34. ( \frac{4}{7} \times 2 \times \frac{3}{8} = )
    答案：( \frac{4 \times 2 \times 3}{7 \times 8} = \frac{24}{56} = \frac{3}{7} )

35. ( 1\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} = )
    答案：( \frac{3}{2} \times \frac{2}{3} \times \frac{3}{4} = \frac{18}{24} = \frac{3}{4} )

36. ( \frac{5}{6} \times \frac{3}{10} \times \frac{2}{5} = )
    答案：( \frac{5 \times 3 \times 2}{6 \times 10 \times 5} = \frac{30}{300} = \frac{1}{10} )

37. ( 2 \times \frac{3}{4} \times \frac{1}{6} = )
    答案：( \frac{2 \times 3 \times 1}{4 \times 6} = \frac{6}{24} = \frac{1}{4} )

38. ( \frac{7}{9} \times \frac{3}{14} \times \frac{2}{3} = )
    答案：( \frac{7 \times 3 \times 2}{9 \times 14 \times 3} = \frac{42}{378} = \frac{1}{9} )

39. ( 4 \times \frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} = )
    答案：( \frac{4 \times 1 \times 2 \times 3}{2 \times 3 \times 4} = \frac{24}{24} = 1 )

40. ( \frac{2}{3} \times \frac{3}{5} \times \frac{5}{7} \times \frac{7}{9} = )
    答案：( \frac{2 \times 3 \times 5 \times 7}{3 \times 5 \times 7 \times 9} = \frac{210}{945} = \frac{2}{9} )

综合提升（41-50题）

41. ( \frac{3}{4} \times \frac{8}{9} \times \frac{3}{2} = )
    答案：( \frac{3 \times 8 \times 3}{4 \times 9 \times 2} = \frac{72}{72} = 1 )

42. ( 5 \times \frac{2}{5} \times \frac{3}{4} = )
    答案：( \frac{5 \times 2 \times 3}{5 \times 4} = \frac{30}{20} = \frac{3}{2} )

43. ( 1\frac{1}{3} \times \frac{3}{4} \times \frac{2}{5} = )
    答案：( \frac{4}{3} \times \frac{3}{4} \times \frac{2}{5} = \frac{24}{60} = \frac{2}{5} )

44. ( \frac{5}{6} \times \frac{6}{11} \times \frac{11}{15} = )
    答案：( \frac{5 \times 6 \times 11}{6 \times 11 \times 15} = \frac{330}{990} = \frac{1}{3} )

45. ( 3 \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = )
    答案：( \frac{3 \times 1 \times 1 \times 1}{3 \times 3 \times 3} = \frac{3}{27} = \frac{1}{9} )

46. ( \frac{2}{7} \times \frac{7}{2} \times \frac{3}{5} = )
    答案：( \frac{2 \times 7 \times 3}{7 \times 2 \times 5} = \frac{42}{70} = \frac{3}{5} )

47. ( 2\frac{1}{4} \times \frac{4}{9} \times \frac{3}{2} = )
    答案：( \frac{9}{4} \times \frac{4}{9} \times \frac{3}{2} = \frac{108}{72} = \frac{3}{2} )

48. ( \frac{3}{5} \times \frac{5}{8} \times \frac{8}{12} = )
    答案：( \frac{3 \times 5 \times 8}{5 \times 8 \times 12} = \frac{120}{480} = \frac{1}{4} )

49. ( 6 \times \frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} = )
    答案：( \frac{6 \times 1 \times 2 \times 3}{2 \times 3 \times 4} = \frac{36}{24} = \frac{3}{2} )

50. ( \frac{4}{5} \times \frac{5}{6} \times \frac{6}{7} \times \frac{7}{8} = )
    答案：( \frac{4 \times 5 \times 6 \times 7}{5 \times 6 \times 7 \times 8} = \frac{840}{1680} = \frac{1}{2} )

分数乘法练习题汇总表

相关问答FAQs

问题1：分数乘法的计算步骤是什么？
解答：分数乘法的计算步骤分为三步：1. 分子相乘，所得结果作为新分子；2. 分母相乘，所得结果作为新分母；3. 将结果化成最简分数，计算 ( \frac{2}{3} \times \frac{3}{5} )，先计算分子 ( 2 \times 3 = 6 )，分母 ( 3 \times 5 = 15 )，得到 ( \frac{6}{15} )，再约分得到 ( \frac{2}{5} )。

问题2：带分数如何进行乘法运算？
解答：带分数乘法需要先将带分数化成假分数，再按照分数乘法的规则计算，计算 ( 1\frac{1}{2} \times \frac{2}{3} )，先将 ( 1\frac{1}{2} ) 化成 ( \frac{3}{2} )，然后计算 ( \frac{3}{2} \times \frac{2}{3} = \frac{6}{6} = 1 )，注意，化简假分数时要确保分子大于或等于分母,计算后结果要化成最简形式。