【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。


