【6年级上册数学分数乘分数100道计算题】在小学六年级的数学学习中,分数的乘法是一个重要的知识点。尤其是“分数乘分数”的运算,不仅考察学生的计算能力,还锻炼了学生对分数意义的理解。为了帮助同学们更好地掌握这一内容,下面整理了100道分数乘分数的计算题,并附上答案,方便复习和练习。
一、分数乘分数的基本规则
分数乘以分数时,只需将分子相乘,分母相乘,最后约分即可。公式如下:
$$
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
$$
注意:结果要化简为最简分数。
二、100道分数乘分数计算题(附答案)
题号 | 题目 | 答案 |
1 | $\frac{1}{2} \times \frac{1}{3}$ | $\frac{1}{6}$ |
2 | $\frac{2}{5} \times \frac{3}{4}$ | $\frac{3}{10}$ |
3 | $\frac{3}{7} \times \frac{2}{9}$ | $\frac{2}{21}$ |
4 | $\frac{1}{4} \times \frac{2}{3}$ | $\frac{1}{6}$ |
5 | $\frac{5}{6} \times \frac{2}{5}$ | $\frac{1}{3}$ |
6 | $\frac{3}{8} \times \frac{4}{5}$ | $\frac{3}{10}$ |
7 | $\frac{2}{3} \times \frac{5}{7}$ | $\frac{10}{21}$ |
8 | $\frac{1}{5} \times \frac{3}{4}$ | $\frac{3}{20}$ |
9 | $\frac{4}{9} \times \frac{3}{8}$ | $\frac{1}{6}$ |
10 | $\frac{7}{10} \times \frac{2}{3}$ | $\frac{7}{15}$ |
11 | $\frac{2}{7} \times \frac{3}{5}$ | $\frac{6}{35}$ |
12 | $\frac{5}{9} \times \frac{2}{3}$ | $\frac{10}{27}$ |
13 | $\frac{1}{6} \times \frac{5}{8}$ | $\frac{5}{48}$ |
14 | $\frac{3}{4} \times \frac{2}{5}$ | $\frac{3}{10}$ |
15 | $\frac{4}{7} \times \frac{1}{2}$ | $\frac{2}{7}$ |
16 | $\frac{2}{5} \times \frac{7}{8}$ | $\frac{7}{20}$ |
17 | $\frac{5}{12} \times \frac{3}{4}$ | $\frac{5}{16}$ |
18 | $\frac{3}{5} \times \frac{4}{7}$ | $\frac{12}{35}$ |
19 | $\frac{1}{3} \times \frac{5}{6}$ | $\frac{5}{18}$ |
20 | $\frac{7}{9} \times \frac{2}{7}$ | $\frac{2}{9}$ |
21 | $\frac{2}{3} \times \frac{3}{4}$ | $\frac{1}{2}$ |
22 | $\frac{5}{8} \times \frac{2}{5}$ | $\frac{1}{4}$ |
23 | $\frac{4}{5} \times \frac{3}{8}$ | $\frac{3}{10}$ |
24 | $\frac{1}{2} \times \frac{3}{5}$ | $\frac{3}{10}$ |
25 | $\frac{3}{7} \times \frac{4}{9}$ | $\frac{4}{21}$ |
26 | $\frac{5}{6} \times \frac{3}{10}$ | $\frac{1}{4}$ |
27 | $\frac{2}{9} \times \frac{5}{6}$ | $\frac{5}{27}$ |
28 | $\frac{3}{10} \times \frac{2}{5}$ | $\frac{3}{25}$ |
29 | $\frac{4}{7} \times \frac{3}{5}$ | $\frac{12}{35}$ |
30 | $\frac{1}{5} \times \frac{4}{6}$ | $\frac{2}{15}$ |
31 | $\frac{5}{12} \times \frac{4}{5}$ | $\frac{1}{3}$ |
32 | $\frac{7}{10} \times \frac{3}{7}$ | $\frac{3}{10}$ |
33 | $\frac{2}{5} \times \frac{5}{8}$ | $\frac{1}{4}$ |
34 | $\frac{3}{8} \times \frac{4}{9}$ | $\frac{1}{6}$ |
35 | $\frac{1}{4} \times \frac{5}{6}$ | $\frac{5}{24}$ |
36 | $\frac{2}{3} \times \frac{7}{8}$ | $\frac{7}{12}$ |
37 | $\frac{5}{9} \times \frac{2}{5}$ | $\frac{2}{9}$ |
38 | $\frac{4}{7} \times \frac{5}{8}$ | $\frac{5}{14}$ |
39 | $\frac{3}{5} \times \frac{2}{7}$ | $\frac{6}{35}$ |
40 | $\frac{1}{2} \times \frac{4}{5}$ | $\frac{2}{5}$ |
41 | $\frac{7}{12} \times \frac{3}{4}$ | $\frac{7}{16}$ |
42 | $\frac{2}{5} \times \frac{3}{7}$ | $\frac{6}{35}$ |
43 | $\frac{5}{6} \times \frac{4}{9}$ | $\frac{10}{27}$ |
44 | $\frac{3}{7} \times \frac{5}{9}$ | $\frac{5}{21}$ |
45 | $\frac{4}{9} \times \frac{5}{6}$ | $\frac{10}{27}$ |
46 | $\frac{1}{6} \times \frac{4}{5}$ | $\frac{2}{15}$ |
47 | $\frac{5}{8} \times \frac{3}{4}$ | $\frac{15}{32}$ |
48 | $\frac{2}{7} \times \frac{5}{6}$ | $\frac{5}{21}$ |
49 | $\frac{3}{4} \times \frac{5}{7}$ | $\frac{15}{28}$ |
50 | $\frac{1}{3} \times \frac{2}{5}$ | $\frac{2}{15}$ |
51 | $\frac{4}{5} \times \frac{3}{7}$ | $\frac{12}{35}$ |
52 | $\frac{5}{7} \times \frac{2}{3}$ | $\frac{10}{21}$ |
53 | $\frac{2}{9} \times \frac{3}{4}$ | $\frac{1}{6}$ |
54 | $\frac{7}{10} \times \frac{1}{2}$ | $\frac{7}{20}$ |
55 | $\frac{3}{5} \times \frac{4}{9}$ | $\frac{4}{15}$ |
56 | $\frac{1}{4} \times \frac{5}{7}$ | $\frac{5}{28}$ |
57 | $\frac{5}{6} \times \frac{3}{5}$ | $\frac{1}{2}$ |
58 | $\frac{2}{5} \times \frac{7}{9}$ | $\frac{14}{45}$ |
59 | $\frac{3}{8} \times \frac{5}{6}$ | $\frac{5}{16}$ |
60 | $\frac{4}{7} \times \frac{2}{5}$ | $\frac{8}{35}$ |
61 | $\frac{1}{2} \times \frac{5}{9}$ | $\frac{5}{18}$ |
62 | $\frac{5}{9} \times \frac{3}{4}$ | $\frac{5}{12}$ |
63 | $\frac{2}{3} \times \frac{4}{5}$ | $\frac{8}{15}$ |
64 | $\frac{3}{7} \times \frac{5}{8}$ | $\frac{15}{56}$ |
65 | $\frac{4}{5} \times \frac{2}{7}$ | $\frac{8}{35}$ |
66 | $\frac{1}{3} \times \frac{7}{8}$ | $\frac{7}{24}$ |
67 | $\frac{5}{6} \times \frac{2}{7}$ | $\frac{5}{21}$ |
68 | $\frac{2}{7} \times \frac{3}{5}$ | $\frac{6}{35}$ |
69 | $\frac{3}{4} \times \frac{2}{7}$ | $\frac{3}{14}$ |
70 | $\frac{7}{10} \times \frac{2}{3}$ | $\frac{7}{15}$ |
71 | $\frac{2}{5} \times \frac{4}{7}$ | $\frac{8}{35}$ |
72 | $\frac{5}{8} \times \frac{3}{5}$ | $\frac{3}{8}$ |
73 | $\frac{3}{9} \times \frac{2}{4}$ | $\frac{1}{6}$ |
74 | $\frac{4}{6} \times \frac{3}{5}$ | $\frac{2}{5}$ |
75 | $\frac{1}{2} \times \frac{6}{7}$ | $\frac{3}{7}$ |
76 | $\frac{2}{3} \times \frac{5}{6}$ | $\frac{5}{9}$ |
77 | $\frac{5}{7} \times \frac{3}{5}$ | $\frac{3}{7}$ |
78 | $\frac{3}{4} \times \frac{4}{5}$ | $\frac{3}{5}$ |
79 | $\frac{1}{5} \times \frac{2}{3}$ | $\frac{2}{15}$ |
80 | $\frac{4}{7} \times \frac{5}{6}$ | $\frac{10}{21}$ |
81 | $\frac{2}{5} \times \frac{5}{6}$ | $\frac{1}{3}$ |
82 | $\frac{5}{9} \times \frac{4}{5}$ | $\frac{4}{9}$ |
83 | $\frac{3}{5} \times \frac{5}{8}$ | $\frac{3}{8}$ |
84 | $\frac{1}{3} \times \frac{4}{5}$ | $\frac{4}{15}$ |
85 | $\frac{7}{8} \times \frac{2}{5}$ | $\frac{7}{20}$ |
86 | $\frac{2}{5} \times \frac{3}{8}$ | $\frac{3}{20}$ |
87 | $\frac{5}{6} \times \frac{3}{4}$ | $\frac{5}{8}$ |
88 | $\frac{4}{5} \times \frac{5}{6}$ | $\frac{2}{3}$ |
89 | $\frac{3}{7} \times \frac{2}{3}$ | $\frac{2}{7}$ |
90 | $\frac{1}{4} \times \frac{3}{5}$ | $\frac{3}{20}$ |
91 | $\frac{2}{3} \times \frac{5}{9}$ | $\frac{10}{27}$ |
92 | $\frac{5}{8} \times \frac{4}{7}$ | $\frac{5}{14}$ |
93 | $\frac{3}{6} \times \frac{2}{5}$ | $\frac{1}{5}$ |
94 | $\frac{4}{9} \times \frac{5}{6}$ | $\frac{10}{27}$ |
95 | $\frac{1}{2} \times \frac{7}{9}$ | $\frac{7}{18}$ |
96 | $\frac{2}{7} \times \frac{5}{9}$ | $\frac{10}{63}$ |
97 | $\frac{5}{7} \times \frac{2}{4}$ | $\frac{5}{14}$ |
98 | $\frac{3}{5} \times \frac{4}{6}$ | $\frac{2}{5}$ |
99 | $\frac{4}{5} \times \frac{1}{3}$ | $\frac{4}{15}$ |
100 | $\frac{2}{5} \times \frac{3}{7}$ | $\frac{6}{35}$ |
三、总结
通过这100道分数乘分数的练习题,可以有效巩固学生对分数乘法的理解与应用能力。建议同学们在完成练习后,再结合课本知识进行回顾,确保每一步都理解透彻,避免计算错误。同时,也可以尝试自己出题,进一步提升解题技巧和灵活运用能力。