《2025年口算题卡升级练五年级上册青岛版54制》

口算。
$11 ÷ \frac{22}{27} = $$\frac{27}{2}$
$9 ÷ \frac{3}{7} = $21
$3 ÷ \frac{2}{3} = $$\frac{9}{2}$
$4 ÷ \frac{5}{8} = $$\frac{32}{5}$
$4 ÷ \frac{8}{7} = $$\frac{7}{2}$
$19 ÷ \frac{19}{26} = $26
$2 ÷ \frac{6}{7} = $$\frac{7}{3}$
$\frac{2}{9} ÷ \frac{5}{18} = $$\frac{4}{5}$
$18 ÷ \frac{2}{9} = $81
$8 ÷ \frac{2}{5} = $20
$3 ÷ \frac{3}{4} = $4
$\frac{2}{5} ÷ \frac{1}{5} = $2
$\frac{4}{5} ÷ \frac{9}{10} = $$\frac{8}{9}$
$\frac{3}{7} ÷ \frac{3}{5} = $$\frac{5}{7}$
$\frac{8}{15} ÷ \frac{2}{3} = $$\frac{4}{5}$
$\frac{7}{16} ÷ \frac{7}{8} = $$\frac{1}{2}$

答案： $11 ÷ \frac{22}{27} = 11×\frac{27}{22} = \frac{27}{2}$
$9 ÷ \frac{3}{7} = 9×\frac{7}{3} = 21$
$3 ÷ \frac{2}{3} = 3×\frac{3}{2} = \frac{9}{2}$
$4 ÷ \frac{5}{8} = 4×\frac{8}{5} = \frac{32}{5}$
$4 ÷ \frac{8}{7} = 4×\frac{7}{8} = \frac{7}{2}$
$19 ÷ \frac{19}{26} = 19×\frac{26}{19} = 26$
$2 ÷ \frac{6}{7} = 2×\frac{7}{6} = \frac{7}{3}$
$\frac{2}{9} ÷ \frac{5}{18} = \frac{2}{9}×\frac{18}{5} = \frac{4}{5}$
$18 ÷ \frac{2}{9} = 18×\frac{9}{2} = 81$
$8 ÷ \frac{2}{5} = 8×\frac{5}{2} = 20$
$3 ÷ \frac{3}{4} = 3×\frac{4}{3} = 4$
$\frac{2}{5} ÷ \frac{1}{5} = \frac{2}{5}×5 = 2$
$\frac{4}{5} ÷ \frac{9}{10} = \frac{4}{5}×\frac{10}{9} = \frac{8}{9}$
$\frac{3}{7} ÷ \frac{3}{5} = \frac{3}{7}×\frac{5}{3} = \frac{5}{7}$
$\frac{8}{15} ÷ \frac{2}{3} = \frac{8}{15}×\frac{3}{2} = \frac{4}{5}$
$\frac{7}{16} ÷ \frac{7}{8} = \frac{7}{16}×\frac{8}{7} = \frac{1}{2}$

解方程。
$\frac{1}{2}x = 10$
$\frac{4}{3}x = \frac{5}{6}$
$\frac{5}{6}x = 25$
$\frac{1}{6}x = \frac{3}{7}$
$\frac{5}{12}x = \frac{5}{24}$
$\frac{2}{5}x = \frac{2}{7}$

答案： $\frac{1}{2}x = 10$
解：$x = 10÷\frac{1}{2}$
$x = 10×2$
$x = 20$
$\frac{4}{3}x = \frac{5}{6}$
解：$x = \frac{5}{6}÷\frac{4}{3}$
$x = \frac{5}{6}×\frac{3}{4}$
$x = \frac{5}{8}$
$\frac{5}{6}x = 25$
解：$x = 25÷\frac{5}{6}$
$x = 25×\frac{6}{5}$
$x = 30$
$\frac{1}{6}x = \frac{3}{7}$
解：$x = \frac{3}{7}÷\frac{1}{6}$
$x = \frac{3}{7}×6$
$x = \frac{18}{7}$
$\frac{5}{12}x = \frac{5}{24}$
解：$x = \frac{5}{24}÷\frac{5}{12}$
$x = \frac{5}{24}×\frac{12}{5}$
$x = \frac{1}{2}$
$\frac{2}{5}x = \frac{2}{7}$
解：$x = \frac{2}{7}÷\frac{2}{5}$
$x = \frac{2}{7}×\frac{5}{2}$
$x = \frac{5}{7}$

① 一辆汽车行驶$\frac{11}{5}千米用去\frac{33}{125}$升汽油。照这样计算,每升汽油可供这辆汽车行驶多少千米？

答案： 解析：题目考查分数除法的应用。
已知汽车行驶的总路程和总耗油量，通过除法就可以求出每升汽油可以行驶的千米数。
列式为：
$\frac{11}{5}÷\frac{33}{125}$
$=\frac{11}{5}×\frac{125}{33}$
$=\frac{25}{3}（千米）$
答案：$\frac{25}{3}$千米

② 一台拖拉机$\frac{3}{4}小时耕地\frac{3}{8}$公顷,这台拖拉机平均每小时耕地多少公顷？耕1公顷地平均需要多少小时？

答案： $\frac{3}{8} ÷ \frac{3}{4} = \frac{3}{8} × \frac{4}{3} = \frac{1}{2}$（公顷）
$\frac{3}{4} ÷ \frac{3}{8} = \frac{3}{4} × \frac{8}{3} = 2$（小时）
答：这台拖拉机平均每小时耕地$\frac{1}{2}$公顷，耕1公顷地平均需要2小时。