六年级数学上册1单元《分数乘法》（原创题单20241205）

人教版小学数学六年级上册 第一单元《分数乘法》 测试题

姓名：__ 班级：_ 分数：___

一、填空题（每题2分，共20分）

1. [3/4] × [2/5] = ______
2. [7/8] × [1/3] = ______
3. [5/6] × [4/9] = ______
4. [2/3] × [3/4] × [1/2] = ______
5. [1/2] × [2/3] × [3/4] × [4/5] = ______
6. [3/5] × [5/7] × [7/9] = ______
7. [4/7] × [7/10] × [10/13] = ______
8. [2/5] × [5/8] × [8/11] = ______
9. [1/4] × [4/7] × [7/10] × [10/13] = ______
10. [3/8] × [8/11] × [11/14] = ______

二、选择题（每题2分，共20分）

1. 下列哪个选项是 [2/3] × [3/4] 的结果？
2. A. [1/2]
3. B. [1/3]
4. C. [1/4]

5. D. [1/6]

6. 计算 [5/6] × [3/8] 的结果是：

7. A. [5/16]
8. B. [5/18]
9. C. [5/24]

10. D. [5/32]

11. [3/4] × [4/5] × [5/6] 的结果是：
12. A. [1/2]
13. B. [1/3]
14. C. [1/4]

15. D. [1/6]

16. 下列哪个分数与 [2/3] × [3/5] 相等？

17. A. [2/5]
18. B. [2/6]
19. C. [2/7]

20. D. [2/8]

21. [7/8] × [4/7] 的结果是：
22. A. [1/2]
23. B. [1/3]
24. C. [1/4]

25. D. [1/6]

26. [3/5] × [5/7] × [7/9] 的结果是：
27. A. [1/3]
28. B. [1/4]
29. C. [1/5]

30. D. [1/6]

31. [4/7] × [7/10] × [10/13] 的结果是：
32. A. [4/13]
33. B. [4/14]
34. C. [4/15]

35. D. [4/16]

36. [2/5] × [5/8] × [8/11] 的结果是：
37. A. [2/11]
38. B. [2/12]
39. C. [2/13]

40. D. [2/14]

41. [1/4] × [4/7] × [7/10] × [10/13] 的结果是：
42. A. [1/13]
43. B. [1/14]
44. C. [1/15]

45. D. [1/16]

46. [3/8] × [8/11] × [11/14] 的结果是：
    • A. [3/14]
    • B. [3/15]
    • C. [3/16]
    • D. [3/17]

三、计算题（每题5分，共30分）

1. 计算：[3/4] × [2/5] + [1/2] × [1/3]
2. 计算：[7/8] × [1/3] – [1/4] × [1/2]
3. 计算：[5/6] × [4/9] + [2/3] × [3/4]
4. 计算：[2/3] × [3/4] × [1/2] + [1/2] × [1/3]
5. 计算：[1/2] × [2/3] × [3/4] × [4/5] – [1/6] × [1/7]
6. 计算：[3/5] × [5/7] × [7/9] + [1/3] × [1/4]

四、应用题（每题10分，共30分）

1. 小明有 [3/4] 升果汁，他喝掉了其中的 [2/5]，还剩下多少升果汁？
2. 一块蛋糕被分成 [8/11] 份，小华吃了其中的 [5/8] 份，他吃了多少份蛋糕？
3. 一个长方形的长是 [5/6] 米，宽是 [4/9] 米，它的面积是多少平方米？

答案

一、填空题

1. [3/4] × [2/5] = [6/20] = [3/10]
2. [7/8] × [1/3] = [7/24]
3. [5/6] × [4/9] = [20/54] = [10/27]
4. [2/3] × [3/4] × [1/2] = [6/24] = [1/4]
5. [1/2] × [2/3] × [3/4] × [4/5] = [24/120] = [1/5]
6. [3/5] × [5/7] × [7/9] = [105/315] = [1/3]
7. [4/7] × [7/10] × [10/13] = [280/910] = [4/13]
8. [2/5] × [5/8] × [8/11] = [80/440] = [2/11]
9. [1/4] × [4/7] × [7/10] × [10/13] = [280/3640] = [1/13]
10. [3/8] × [8/11] × [11/14] = [264/1232] = [3/14]

二、选择题

1. A. [1/2]
2. C. [5/24]
3. A. [1/2]
4. A. [2/5]
5. A. [1/2]
6. A. [1/3]
7. A. [4/13]
8. A. [2/11]
9. A. [1/13]
10. A. [3/14]

三、计算题

1. [3/4] × [2/5] + [1/2] × [1/3] = [6/20] + [1/6] = [3/10] + [1/6] = [18/60] + [10/60] = [28/60] = [7/15]
2. [7/8] × [1/3] – [1/4] × [1/2] = [7/24] – [1/8] = [7/24] – [3/24] = [4/24] = [1/6]
3. [5/6] × [4/9] + [2/3] × [3/4] = [20/54] + [6/12] = [10/27] + [1/2] = [20/54] + [27/54] = [47/54]
4. [2/3] × [3/4] × [1/2] + [1/2] × [1/3] = [6/24] + [1/6] = [1/4] + [1/6] = [3/12] + [2/12] = [5/12]
5. [1/2] × [2/3] × [3/4] × [4/5] – [1/6] × [1/7] = [24/120] – [1/42] = [1/5] – [1/42] = [42/210] – [5/210] = [37/210]
6. [3/5] × [5/7] × [7/9] + [1/3] × [1/4] = [105/315] + [1/12] = [1/3] + [1/12] = [4/12] + [1/12] = [5/12]

四、应用题

1. 小明剩下的果汁为：[3/4] – [3/4] × [2/5] = [3/4] – [6/20] = [3/4] – [3/10] = [15/20] – [6/20] = [9/20] 升。
2. 小华吃的蛋糕为：[8/11] × [5/8] = [40/88] = [5/11] 份。
3. 长方形的面积为：[5/6] × [4/9] = [20/54] = [10/27] 平方米。