2025年分数乘除测试题及答案

2025年分数乘除测试题及答案本文借鉴了近年相关经典测试题创作而成，力求帮助考生深入理解测试题型，掌握答题技巧，提升应试能力。2025年分数乘除测试题一、填空题（每空2分，共20分）1.将分数\(\frac{3}{4}\)乘以\(\frac{2}{5}\)的结果是______。2.将分数\(\frac{5}{6}\)除以\(\frac{1}{3}\)的结果是______。3.分数\(\frac{7}{8}\)乘以分数\(\frac{4}{7}\)的结果是______。4.分数\(\frac{9}{10}\)除以分数\(\frac{3}{5}\)的结果是______。5.分数\(\frac{1}{2}\)乘以分数\(\frac{3}{4}\)再除以分数\(\frac{1}{3}\)的结果是______。6.如果\(\frac{a}{b}\times\frac{c}{d}=\frac{3}{4}\)，其中\(a=2\)，\(b=3\)，\(c=4\)，那么\(d\)的值是______。7.分数\(\frac{5}{6}\)除以分数\(\frac{5}{12}\)的结果是______。8.分数\(\frac{3}{4}\)乘以分数\(\frac{8}{9}\)再乘以分数\(\frac{3}{4}\)的结果是______。9.分数\(\frac{7}{8}\)除以分数\(\frac{7}{16}\)的结果是______。10.如果\(\frac{2}{3}\times\frac{x}{y}=\frac{1}{2}\)，且\(x=3\)，那么\(y\)的值是______。二、选择题（每题3分，共30分）1.下列哪个分数等于\(\frac{3}{4}\times\frac{2}{5}\)？A.\(\frac{1}{2}\)B.\(\frac{5}{8}\)C.\(\frac{6}{20}\)D.\(\frac{7}{10}\)2.\(\frac{5}{6}\)除以\(\frac{1}{3}\)等于：A.\(\frac{1}{2}\)B.\(\frac{5}{2}\)C.\(\frac{3}{5}\)D.\(\frac{2}{5}\)3.\(\frac{7}{8}\)乘以\(\frac{4}{7}\)的结果是：A.\(\frac{1}{2}\)B.\(\frac{3}{4}\)C.\(\frac{28}{56}\)D.\(\frac{4}{8}\)4.\(\frac{9}{10}\)除以\(\frac{3}{5}\)的结果是：A.\(\frac{3}{2}\)B.\(\frac{2}{3}\)C.\(\frac{1}{3}\)D.\(\frac{5}{3}\)5.\(\frac{1}{2}\)乘以\(\frac{3}{4}\)再除以\(\frac{1}{3}\)的结果是：A.\(\frac{3}{8}\)B.\(\frac{3}{4}\)C.\(\frac{9}{8}\)D.\(\frac{8}{9}\)6.如果\(\frac{a}{b}\times\frac{c}{d}=\frac{3}{4}\)，其中\(a=2\)，\(b=3\)，\(c=4\)，那么\(d\)的值是：A.4B.3C.2D.57.\(\frac{5}{6}\)除以\(\frac{5}{12}\)的结果是：A.\(\frac{1}{2}\)B.\(\frac{5}{6}\)C.2D.\(\frac{12}{5}\)8.\(\frac{3}{4}\)乘以\(\frac{8}{9}\)再乘以\(\frac{3}{4}\)的结果是：A.\(\frac{2}{3}\)B.\(\frac{3}{4}\)C.\(\frac{1}{2}\)D.\(\frac{4}{3}\)9.\(\frac{7}{8}\)除以\(\frac{7}{16}\)的结果是：A.1B.2C.3D.410.如果\(\frac{2}{3}\times\frac{x}{y}=\frac{1}{2}\)，且\(x=3\)，那么\(y\)的值是：A.3B.4C.5D.6三、计算题（每题5分，共50分）1.计算\(\frac{3}{4}\times\frac{2}{5}\)。2.计算\(\frac{5}{6}\div\frac{1}{3}\)。3.计算\(\frac{7}{8}\times\frac{4}{7}\)。4.计算\(\frac{9}{10}\div\frac{3}{5}\)。5.计算\(\frac{1}{2}\times\frac{3}{4}\div\frac{1}{3}\)。6.计算\(\frac{5}{6}\div\frac{5}{12}\)。7.计算\(\frac{3}{4}\times\frac{8}{9}\times\frac{3}{4}\)。8.计算\(\frac{7}{8}\div\frac{7}{16}\)。9.计算\(\frac{2}{3}\times\frac{x}{y}\)其中\(x=3\)，\(y=6\)。10.计算\(\frac{1}{2}\div\frac{3}{4}\times\frac{2}{3}\)。四、应用题（每题10分，共20分）1.一块蛋糕被切成8等份，小明吃了其中的3份，小红吃了其中的2份。如果小明再吃掉小明已经吃掉的部分的\(\frac{1}{2}\)，那么小明总共吃了多少块蛋糕？2.一个长方形的长是\(\frac{5}{6}\)米，宽是\(\frac{3}{4}\)米。如果这个长方形的面积是\(\frac{a}{b}\)平方米，求\(a\)和\(b\)的值。答案一、填空题1.\(\frac{3}{4}\times\frac{2}{5}=\frac{6}{20}=\frac{3}{10}\)2.\(\frac{5}{6}\div\frac{1}{3}=\frac{5}{6}\times\frac{3}{1}=\frac{15}{6}=\frac{5}{2}\)3.\(\frac{7}{8}\times\frac{4}{7}=\frac{28}{56}=\frac{1}{2}\)4.\(\frac{9}{10}\div\frac{3}{5}=\frac{9}{10}\times\frac{5}{3}=\frac{45}{30}=\frac{3}{2}\)5.\(\frac{1}{2}\times\frac{3}{4}\div\frac{1}{3}=\frac{3}{8}\times\frac{3}{1}=\frac{9}{8}\)6.\(\frac{a}{b}\times\frac{c}{d}=\frac{2}{3}\times\frac{4}{d}=\frac{8}{3d}=\frac{3}{4}\)，解得\(d=4\)7.\(\frac{5}{6}\div\frac{5}{12}=\frac{5}{6}\times\frac{12}{5}=\frac{60}{30}=2\)8.\(\frac{3}{4}\times\frac{8}{9}\times\frac{3}{4}=\frac{72}{144}=\frac{1}{2}\)9.\(\frac{7}{8}\div\frac{7}{16}=\frac{7}{8}\times\frac{16}{7}=\frac{112}{56}=2\)10.\(\frac{2}{3}\times\frac{3}{y}=\frac{1}{2}\)，解得\(y=4\)二、选择题1.C2.B3.A4.A5.C6.A7.C8.A9.B10.B三、计算题1.\(\frac{3}{4}\times\frac{2}{5}=\frac{6}{20}=\frac{3}{10}\)2.\(\frac{5}{6}\div\frac{1}{3}=\frac{5}{6}\times\frac{3}{1}=\frac{15}{6}=\frac{5}{2}\)3.\(\frac{7}{8}\times\frac{4}{7}=\frac{28}{56}=\frac{1}{2}\)4.\(\frac{9}{10}\div\frac{3}{5}=\frac{9}{10}\times\frac{5}{3}=\frac{45}{30}=\frac{3}{2}\)5.\(\frac{1}{2}\times\frac{3}{4}\div\frac{1}{3}=\frac{3}{8}\times\frac{3}{1}=\frac{9}{8}\)6.\(\frac{5}{6}\div\frac{5}{12}=\frac{5}{6}\times\frac{12}{5}=\frac{60}{30}=2\)7.\(\frac{3}{4}\times\frac{8}{9}\times\frac{3}{4}=\frac{72}{144}=\frac{1}{2}\)8.\(\frac{7}{8}\div\frac{7}{16}=\frac{7}{8}\times\frac{16}{7}=\frac{112}{56}=2\)9.\(\frac{2}{3}\times\frac{3}{6}=\frac{6}{18}=\frac{1}{3}\)10.\(\frac{1}{2}\div\frac{3}{4}\times\frac{2}{3}=\frac{1}{2}\times\frac{4}{3}\times\frac{2}{3}=\frac{8}{18}=\frac{4}{9}\)四、应用题1.小明吃了\(\frac{3}{8}\)块蛋糕，再吃掉\(\frac{1}{2}\)的\(\frac{3}{8}\)块，