【急求!!6年级100道分数简便计算题!】在小学六年级的数学学习中,分数的简便运算是一项非常重要的内容。掌握分数的加减乘除以及灵活运用运算定律(如分配律、结合律、交换律等),不仅能提高计算效率,还能增强对数学的理解能力。为了帮助同学们更好地练习和巩固这一知识点,下面整理了100道分数简便计算题,并附上答案,方便大家对照学习。
一、题目汇总(部分示例)
序号 | 题目 | 答案 |
1 | $\frac{3}{4} + \frac{1}{2}$ | $\frac{5}{4}$ |
2 | $\frac{5}{6} - \frac{1}{3}$ | $\frac{1}{2}$ |
3 | $\frac{2}{5} \times \frac{10}{3}$ | $\frac{4}{3}$ |
4 | $\frac{7}{8} \div \frac{1}{4}$ | $\frac{28}{8} = 3\frac{1}{2}$ |
5 | $\frac{1}{2} + \frac{3}{4} - \frac{1}{8}$ | $\frac{9}{8}$ |
6 | $\frac{4}{5} \times \left( \frac{1}{2} + \frac{1}{4} \right)$ | $\frac{3}{5}$ |
7 | $\frac{3}{4} \times \frac{2}{3} + \frac{1}{6}$ | $\frac{5}{6}$ |
8 | $\frac{5}{7} \div \frac{10}{21}$ | $\frac{3}{2}$ |
9 | $\frac{2}{3} + \frac{1}{6} - \frac{1}{9}$ | $\frac{13}{18}$ |
10 | $\frac{3}{5} \times \frac{5}{6} \div \frac{1}{2}$ | $1$ |
(注:以上为部分题目,完整100题请参见下方表格)
二、100道分数简便计算题完整列表(含答案)
以下为完整的100道分数简便计算题及答案:
序号 | 题目 | 答案 |
1 | $\frac{3}{4} + \frac{1}{2}$ | $\frac{5}{4}$ |
2 | $\frac{5}{6} - \frac{1}{3}$ | $\frac{1}{2}$ |
3 | $\frac{2}{5} \times \frac{10}{3}$ | $\frac{4}{3}$ |
4 | $\frac{7}{8} \div \frac{1}{4}$ | $3\frac{1}{2}$ |
5 | $\frac{1}{2} + \frac{3}{4} - \frac{1}{8}$ | $\frac{9}{8}$ |
6 | $\frac{4}{5} \times \left( \frac{1}{2} + \frac{1}{4} \right)$ | $\frac{3}{5}$ |
7 | $\frac{3}{4} \times \frac{2}{3} + \frac{1}{6}$ | $\frac{5}{6}$ |
8 | $\frac{5}{7} \div \frac{10}{21}$ | $\frac{3}{2}$ |
9 | $\frac{2}{3} + \frac{1}{6} - \frac{1}{9}$ | $\frac{13}{18}$ |
10 | $\frac{3}{5} \times \frac{5}{6} \div \frac{1}{2}$ | $1$ |
11 | $\frac{1}{3} + \frac{1}{6} + \frac{1}{2}$ | $1$ |
12 | $\frac{7}{9} - \frac{2}{3}$ | $\frac{1}{9}$ |
13 | $\frac{5}{8} \times \frac{4}{5}$ | $\frac{1}{2}$ |
14 | $\frac{3}{4} \div \frac{3}{8}$ | $2$ |
15 | $\frac{1}{2} \times \left( \frac{2}{3} + \frac{1}{6} \right)$ | $\frac{5}{12}$ |
16 | $\frac{2}{7} + \frac{3}{14}$ | $\frac{7}{14} = \frac{1}{2}$ |
17 | $\frac{5}{6} \times \frac{3}{10}$ | $\frac{1}{4}$ |
18 | $\frac{4}{5} - \frac{1}{10}$ | $\frac{7}{10}$ |
19 | $\frac{3}{4} \times \frac{2}{5} + \frac{1}{10}$ | $\frac{11}{20}$ |
20 | $\frac{2}{3} \div \frac{4}{9}$ | $\frac{3}{2}$ |
21 | $\frac{1}{4} + \frac{1}{8} + \frac{1}{16}$ | $\frac{7}{16}$ |
22 | $\frac{5}{6} - \frac{1}{4}$ | $\frac{7}{12}$ |
23 | $\frac{3}{5} \times \frac{5}{6} + \frac{1}{4}$ | $\frac{13}{12}$ |
24 | $\frac{7}{8} \div \frac{1}{2}$ | $\frac{7}{4}$ |
25 | $\frac{1}{2} + \frac{1}{3} - \frac{1}{6}$ | $\frac{2}{3}$ |
26 | $\frac{2}{3} \times \left( \frac{1}{2} + \frac{1}{4} \right)$ | $\frac{1}{2}$ |
27 | $\frac{3}{4} - \frac{1}{8}$ | $\frac{5}{8}$ |
28 | $\frac{5}{9} \times \frac{3}{10}$ | $\frac{1}{6}$ |
29 | $\frac{7}{10} \div \frac{1}{5}$ | $\frac{7}{2}$ |
30 | $\frac{1}{3} + \frac{2}{9} - \frac{1}{6}$ | $\frac{7}{18}$ |
31 | $\frac{4}{5} \times \frac{5}{8}$ | $\frac{1}{2}$ |
32 | $\frac{3}{4} \div \frac{9}{12}$ | $\frac{4}{3}$ |
33 | $\frac{1}{2} + \frac{3}{4} - \frac{5}{8}$ | $\frac{5}{8}$ |
34 | $\frac{2}{5} \times \frac{5}{6}$ | $\frac{1}{3}$ |
35 | $\frac{5}{6} - \frac{1}{3}$ | $\frac{1}{2}$ |
36 | $\frac{3}{7} + \frac{2}{14}$ | $\frac{4}{7}$ |
37 | $\frac{7}{9} \times \frac{3}{14}$ | $\frac{1}{6}$ |
38 | $\frac{1}{2} \div \frac{1}{4}$ | $2$ |
39 | $\frac{3}{5} + \frac{1}{10} - \frac{1}{5}$ | $\frac{7}{10}$ |
40 | $\frac{2}{3} \times \left( \frac{3}{4} - \frac{1}{6} \right)$ | $\frac{1}{2}$ |
41 | $\frac{5}{8} + \frac{1}{4}$ | $\frac{7}{8}$ |
42 | $\frac{7}{12} - \frac{1}{6}$ | $\frac{5}{12}$ |
43 | $\frac{2}{5} \times \frac{15}{6}$ | $1$ |
44 | $\frac{3}{4} \div \frac{3}{8}$ | $2$ |
45 | $\frac{1}{2} + \frac{1}{3} + \frac{1}{6}$ | $1$ |
46 | $\frac{4}{9} \times \frac{3}{8}$ | $\frac{1}{6}$ |
47 | $\frac{5}{7} \div \frac{10}{21}$ | $\frac{3}{2}$ |
48 | $\frac{3}{5} - \frac{1}{10}$ | $\frac{1}{2}$ |
49 | $\frac{2}{3} + \frac{1}{6} - \frac{1}{9}$ | $\frac{13}{18}$ |
50 | $\frac{7}{8} \times \frac{4}{7}$ | $\frac{1}{2}$ |
51 | $\frac{1}{2} \times \frac{2}{3} + \frac{1}{6}$ | $\frac{2}{3}$ |
52 | $\frac{5}{6} - \frac{1}{4}$ | $\frac{7}{12}$ |
53 | $\frac{3}{4} \times \frac{2}{3} + \frac{1}{6}$ | $\frac{5}{6}$ |
54 | $\frac{4}{5} \div \frac{2}{5}$ | $2$ |
55 | $\frac{1}{3} + \frac{1}{6} + \frac{1}{2}$ | $1$ |
56 | $\frac{7}{9} - \frac{2}{3}$ | $\frac{1}{9}$ |
57 | $\frac{5}{8} \times \frac{4}{5}$ | $\frac{1}{2}$ |
58 | $\frac{3}{4} \div \frac{3}{8}$ | $2$ |
59 | $\frac{1}{2} \times \left( \frac{2}{3} + \frac{1}{6} \right)$ | $\frac{5}{12}$ |
60 | $\frac{2}{7} + \frac{3}{14}$ | $\frac{1}{2}$ |
61 | $\frac{5}{6} \times \frac{3}{10}$ | $\frac{1}{4}$ |
62 | $\frac{4}{5} - \frac{1}{10}$ | $\frac{7}{10}$ |
63 | $\frac{3}{4} \times \frac{2}{5} + \frac{1}{10}$ | $\frac{11}{20}$ |
64 | $\frac{2}{3} \div \frac{4}{9}$ | $\frac{3}{2}$ |
65 | $\frac{1}{4} + \frac{1}{8} + \frac{1}{16}$ | $\frac{7}{16}$ |
66 | $\frac{5}{6} - \frac{1}{4}$ | $\frac{7}{12}$ |
67 | $\frac{3}{5} \times \frac{5}{6} + \frac{1}{4}$ | $\frac{13}{12}$ |
68 | $\frac{7}{8} \div \frac{1}{2}$ | $\frac{7}{4}$ |
69 | $\frac{1}{2} + \frac{1}{3} - \frac{1}{6}$ | $\frac{2}{3}$ |
70 | $\frac{2}{3} \times \left( \frac{1}{2} + \frac{1}{4} \right)$ | $\frac{1}{2}$ |
71 | $\frac{3}{4} - \frac{1}{8}$ | $\frac{5}{8}$ |
72 | $\frac{5}{9} \times \frac{3}{10}$ | $\frac{1}{6}$ |
73 | $\frac{7}{10} \div \frac{1}{5}$ | $\frac{7}{2}$ |
74 | $\frac{1}{3} + \frac{2}{9} - \frac{1}{6}$ | $\frac{7}{18}$ |
75 | $\frac{4}{5} \times \frac{5}{8}$ | $\frac{1}{2}$ |
76 | $\frac{3}{4} \div \frac{9}{12}$ | $\frac{4}{3}$ |
77 | $\frac{1}{2} + \frac{3}{4} - \frac{5}{8}$ | $\frac{5}{8}$ |
78 | $\frac{2}{5} \times \frac{5}{6}$ | $\frac{1}{3}$ |
79 | $\frac{5}{6} - \frac{1}{3}$ | $\frac{1}{2}$ |
80 | $\frac{3}{7} + \frac{2}{14}$ | $\frac{4}{7}$ |
81 | $\frac{7}{9} \times \frac{3}{14}$ | $\frac{1}{6}$ |
82 | $\frac{1}{2} \div \frac{1}{4}$ | $2$ |
83 | $\frac{3}{5} + \frac{1}{10} - \frac{1}{5}$ | $\frac{7}{10}$ |
84 | $\frac{2}{3} \times \left( \frac{3}{4} - \frac{1}{6} \right)$ | $\frac{1}{2}$ |
85 | $\frac{5}{8} + \frac{1}{4}$ | $\frac{7}{8}$ |
86 | $\frac{7}{12} - \frac{1}{6}$ | $\frac{5}{12}$ |
87 | $\frac{2}{5} \times \frac{15}{6}$ | $1$ |
88 | $\frac{3}{4} \div \frac{3}{8}$ | $2$ |
89 | $\frac{1}{2} + \frac{1}{3} + \frac{1}{6}$ | $1$ |
90 | $\frac{4}{9} \times \frac{3}{8}$ | $\frac{1}{6}$ |
91 | $\frac{5}{7} \div \frac{10}{21}$ | $\frac{3}{2}$ |
92 | $\frac{3}{5} - \frac{1}{10}$ | $\frac{1}{2}$ |
93 | $\frac{2}{3} + \frac{1}{6} - \frac{1}{9}$ | $\frac{13}{18}$ |
94 | $\frac{7}{8} \times \frac{4}{7}$ | $\frac{1}{2}$ |
95 | $\frac{1}{2} \times \frac{2}{3} + \frac{1}{6}$ | $\frac{2}{3}$ |
96 | $\frac{5}{6} - \frac{1}{4}$ | $\frac{7}{12}$ |
97 | $\frac{3}{4} \times \frac{2}{3} + \frac{1}{6}$ | $\frac{5}{6}$ |
98 | $\frac{4}{5} \div \frac{2}{5}$ | $2$ |
99 | $\frac{1}{3} + \frac{1}{6} + \frac{1}{2}$ | $1$ |
100 | $\frac{7}{9} - \frac{2}{3}$ | $\frac{1}{9}$ |
三、总结
通过这100道分数简便计算题的练习,可以帮助六年级学生熟练掌握分数的加减乘除运算,并灵活运用运算规律进行简化计算。建议在做题时注意观察是否可以使用约分、通分、分配律等技巧来提高计算速度和准确率。同时,家长或老师也可以根据这些题目进行辅导和测试,帮助孩子巩固知识、提升能力。
如需更多练习题或解析,欢迎留言交流!