150道分数乘除法及答案，适合小学生练习吗？

，掌握其运算规则和技巧对后续学习至关重要，以下将详细介绍分数乘除法的运算方法，并提供150道练习题及答案，帮助读者巩固知识。

分数乘法的运算规则是：分子相乘的积作为分子，分母相乘的积作为分母，计算时能约分的要先约分，再计算，这样可以简化运算过程，2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2，如果遇到带分数，需要先将其转换为假分数，再进行计算，1又1/2 × 2/3 = 3/2 × 2/3 = (3×2)/(2×3) = 6/6 = 1。

分数除法的运算规则是：除以一个不为零的分数，等于乘以这个分数的倒数，倒数是指分子与分母位置互换的数，2/3 ÷ 3/4 = 2/3 × 4/3 = (2×4)/(3×3) = 8/9，同样，如果遇到带分数，需要先转换为假分数再计算，2又1/4 ÷ 1又1/2 = 9/4 ÷ 3/2 = 9/4 × 2/3 = (9×2)/(4×3) = 18/12 = 3/2。

在运算过程中，需要注意以下几点：1. 分数乘法中，分子和分母可以交叉约分，简化计算；2. 分数除法中，必须将除数转换为倒数后再相乘；3. 结果要化为最简分数，即分子和分母互质；4. 如果结果为假分数，可以根据需要转换为带分数。

以下是150道分数乘除法练习题及答案，分为分数乘法、分数除法、分数乘除混合运算三部分，方便读者针对性练习。

分数乘法练习题（50道）

1. 1/2 × 1/3 = 1/6
2. 2/5 × 3/4 = 3/10
3. 3/7 × 2/3 = 2/7
4. 4/9 × 3/8 = 1/6
5. 5/6 × 2/5 = 1/3
6. 7/8 × 1/4 = 7/32
7. 2/3 × 5/6 = 5/9
8. 3/5 × 4/7 = 12/35
9. 1/4 × 2/3 = 1/6
10. 5/9 × 3/10 = 1/6
11. 2/7 × 3/5 = 6/35
12. 4/5 × 1/2 = 2/5
13. 3/8 × 4/9 = 1/6
14. 5/12 × 3/10 = 1/8
15. 7/10 × 2/7 = 1/5
16. 1/3 × 3/5 = 1/5
17. 2/5 × 5/8 = 1/4
18. 3/4 × 2/3 = 1/2
19. 4/7 × 3/5 = 12/35
20. 5/6 × 3/4 = 5/8
21. 1/5 × 2/3 = 2/15
22. 2/9 × 3/4 = 1/6
23. 3/10 × 4/5 = 6/25
24. 5/7 × 2/3 = 10/21
25. 1/6 × 3/8 = 1/16
26. 2/3 × 4/5 = 8/15
27. 3/5 × 5/6 = 1/2
28. 4/9 × 2/3 = 8/27
29. 5/8 × 3/10 = 3/16
30. 7/9 × 1/3 = 7/27
31. 1/2 × 2/7 = 1/7
32. 2/5 × 4/9 = 8/45
33. 3/7 × 5/8 = 15/56
34. 4/5 × 3/7 = 12/35
35. 5/9 × 2/5 = 2/9
36. 1/4 × 4/5 = 1/5
37. 2/7 × 5/6 = 5/21
38. 3/8 × 5/12 = 5/32
39. 5/10 × 2/3 = 1/3
40. 7/12 × 3/8 = 7/32
41. 1/3 × 4/7 = 4/21
42. 2/9 × 5/6 = 5/27
43. 3/4 × 5/9 = 5/12
44. 4/7 × 1/2 = 2/7
45. 5/6 × 1/3 = 5/18
46. 1/5 × 5/8 = 1/8
47. 2/3 × 7/10 = 7/15
48. 3/5 × 1/4 = 3/20
49. 4/9 × 5/6 = 10/27
50. 5/7 × 3/4 = 15/28

分数除法练习题（50道）
51. 1/2 ÷ 1/4 = 2
52. 2/3 ÷ 1/6 = 4
53. 3/4 ÷ 1/2 = 3/2
54. 4/5 ÷ 2/5 = 2
55. 5/6 ÷ 1/3 = 5/2
56. 7/8 ÷ 1/2 = 7/4
57. 2/5 ÷ 1/10 = 4
58. 3/7 ÷ 1/14 = 6
59. 1/3 ÷ 1/9 = 3
60. 4/9 ÷ 2/3 = 2/3
61. 5/12 ÷ 1/4 = 5/3
62. 7/10 ÷ 1/5 = 7/2
63. 1/4 ÷ 1/8 = 2
64. 2/7 ÷ 1/14 = 4
65. 3/5 ÷ 1/15 = 9
66. 4/7 ÷ 2/7 = 2
67. 5/8 ÷ 1/4 = 5/2
68. 1/6 ÷ 1/12 = 2
69. 2/9 ÷ 1/3 = 2/3
70. 3/10 ÷ 1/5 = 3/2
71. 4/11 ÷ 1/22 = 8
72. 5/13 ÷ 1/26 = 10
73. 1/5 ÷ 1/15 = 3
74. 2/3 ÷ 4/9 = 3/2
75. 3/8 ÷ 1/4 = 3/2
76. 5/9 ÷ 1/3 = 5/3
77. 7/12 ÷ 1/6 = 7/2
78. 1/7 ÷ 1/21 = 3
79. 2/5 ÷ 3/10 = 4/3
80. 3/7 ÷ 1/14 = 6
81. 4/9 ÷ 2/9 = 2
82. 5/11 ÷ 1/22 = 10
83. 1/8 ÷ 1/16 = 2
84. 2/15 ÷ 1/5 = 2/3
85. 3/16 ÷ 1/8 = 3/2
86. 5/17 ÷ 1/34 = 10
87. 7/18 ÷ 1/6 = 7/3
88. 1/9 ÷ 1/27 = 3
89. 2/7 ÷ 4/21 = 3/2
90. 3/13 ÷ 1/26 = 6
91. 4/15 ÷ 2/5 = 2/3
92. 5/19 ÷ 1/38 = 10
93. 1/10 ÷ 1/20 = 2
94. 2/11 ÷ 1/22 = 4
95. 3/14 ÷ 1/7 = 3/2
96. 5/21 ÷ 1/3 = 5/7
97. 7/22 ÷ 1/11 = 7/2
98. 1/12 ÷ 1/24 = 2
99. 2/13 ÷ 1/26 = 4
100. 3/17 ÷ 1/34 = 6

分数乘除混合运算练习题（50道）
101. 1/2 × 2/3 ÷ 1/4 = 4/3
102. 2/5 ÷ 1/10 × 3/4 = 3
103. 3/7 × 1/14 ÷ 2/3 = 9/98
104. 4/9 ÷ 2/3 × 1/2 = 1/3
105. 5/6 × 1/5 ÷ 1/3 = 1/2
106. 7/8 ÷ 1/4 × 2/7 = 1
107. 1/3 × 3/8 ÷ 1/6 = 3/4
108. 2/7 ÷ 1/21 × 4/5 = 24/5
109. 3/10 × 5/6 ÷ 1/4 = 1
110. 4/11 × 1/2 ÷ 2/11 = 1
111. 5/12 ÷ 1/3 × 3/10 = 3/8
112. 7/13 × 1/7 ÷ 1/13 = 1
113. 1/4 × 4/5 ÷ 1/10 = 2
114. 2/9 ÷ 1/6 × 3/4 = 1
115. 3/14 × 7/9 ÷ 1/2 = 1/3
116. 5/15 × 1/3 ÷ 1/5 = 5/9
117. 7/16 ÷ 1/8 × 1/2 = 7/4
118. 1/5 × 5/7 ÷ 1/35 = 5
119. 2/11 × 11/12 ÷ 1/6 = 1
120. 3/17 × 1/3 ÷ 1/17 = 1
121. 4/19 × 1/2 ÷ 2/19 = 1
122. 5/21 × 7/10 ÷ 1/3 = 1/2
123. 7/23 × 1/7 ÷ 1/23 = 1
124. 1/6 × 6/11 ÷ 1/11 = 1
125. 2/13 × 13/14 ÷ 1/7 = 1
126. 3/25 × 5/6 ÷ 1/10 = 1
127. 4/27 × 1/4 ÷ 1/27 = 1
128. 5/29 × 1/5 ÷ 1/29 = 1
129. 7/31 × 1/7 ÷ 1/31 = 1
130. 1/7 × 7/12 ÷ 1/12 = 1
131. 2/15 × 15/16 ÷ 1/8 = 1
132. 3/33 × 1/3 ÷ 1/33 = 1
133. 4/35 × 1/4 ÷ 1/35 = 1
134. 5/37 × 1/5 ÷ 1/37 = 1
135. 7/39 × 1/7 ÷ 1/39 = 1
136. 1/8 × 8/13 ÷ 1/13 = 1
137. 2/17 × 17/18 ÷ 1/9 = 1
138. 3/41 × 1/3 ÷ 1/41 = 1
139. 4/43 × 1/4 ÷ 1/43 = 1
140. 5/45 × 1/5 ÷ 1/45 = 1
141. 7/47 × 1/7 ÷ 1/47 = 1
142. 1/9 × 9/14 ÷ 1/14 = 1
143. 2/19 × 19/20 ÷ 1/10 = 1
144. 3/49 × 1/3 ÷ 1/49 = 1
145. 4/51 × 1/4 ÷ 1/51 = 1
146. 5/53 × 1/5 ÷ 1/53 = 1
147. 7/55 × 1/7 ÷ 1/55 = 1
148. 1/10 × 10/15 ÷ 1/15 = 1
149. 2/21 × 21/22 ÷ 1/11 = 1
150. 3/57 × 1/3 ÷ 1/57 = 1

通过以上练习，相信读者已经熟练掌握了分数乘除法的运算方法，在实际计算中，要仔细审题，注意运算顺序，确保每一步的计算准确无误。

相关问答FAQs

问：分数乘法中，为什么可以先约分再计算？
答：分数乘法中，分子和分母是相乘的关系，根据乘法的交换律和结合律，可以先将分子和分母中的公因数约去，这样可以简化计算过程，减少大数相乘的难度，同时保证结果的最简形式，2/3 × 3/4，可以先约去分子3和分母3，得到2/1 × 1/4 = 2/4 = 1/2，直接计算会更简便。

问：分数除法中，为什么除以一个分数等于乘以它的倒数？
答：分数除法的定义是基于乘法的逆运算，a ÷ b = c 等价于 b × c = a，当b是分数时，为了找到c，可以将其转换为乘法形式，2/3 ÷ 1/4 表示求一个数，使得1/4乘以它等于2/3，设这个数为x，则1/4 × x = 2/3，解得x = 2/3 × 4/1 = 8/3，除以一个分数等于乘以它的倒数,这一规则保证了运算的一致性和正确性。