《2025年云南省标准教辅同步指导训练与检测配套测试卷六年级数学上册人教版》

4. 解方程。(每题3分,共27分)
$\frac{2}{3}x÷\frac{1}{4}= 12$　　$\frac{8}{21}x= \frac{4}{15}$
$\frac{2}{9}x+\frac{1}{6}= \frac{19}{30}$　　$x-\frac{1}{5}x= \frac{2}{3}÷\frac{17}{18}$
$\frac{3}{4}+\frac{2}{5}x= \frac{9}{10}$　　$\frac{3}{4}x-\frac{1}{2}x= \frac{9}{4}$
$6-\frac{3}{8}x= 0.75$　　$(1 + 5\%)x= 14.7$
$0.25:x= \frac{4}{7}$

答案： 4.
① $\frac{2}{3}x ÷ \frac{1}{4} = 12$
解：$\frac{2}{3}x = 12 × \frac{1}{4}$
$\frac{2}{3}x = 3$
$x = 3 × \frac{3}{2}$
$x = \frac{9}{2}$
② $\frac{8}{21}x = \frac{4}{15}$
解：$x = \frac{4}{15} × \frac{21}{8}$
$x = \frac{7}{10}$
③ $\frac{2}{9}x + \frac{1}{6} = \frac{19}{30}$
解：$\frac{2}{9}x = \frac{19}{30} - \frac{1}{6}$
$\frac{2}{9}x = \frac{14}{30}$
$\frac{2}{9}x = \frac{7}{15}$
$x = \frac{7}{15} × \frac{9}{2}$
$x = \frac{21}{10}$
④ $x - \frac{1}{5}x = \frac{2}{3} ÷ \frac{17}{18}$
解：$\frac{4}{5}x = \frac{2}{3} × \frac{18}{17}$
$\frac{4}{5}x = \frac{12}{17}$
$x = \frac{12}{17} × \frac{5}{4}$
$x = \frac{15}{17}$
⑤ $\frac{3}{4} + \frac{2}{5}x = \frac{9}{10}$
解：$\frac{2}{5}x = \frac{9}{10} - \frac{3}{4}$
$\frac{2}{5}x = \frac{3}{20}$
$x = \frac{3}{20} × \frac{5}{2}$
$x = \frac{3}{8}$
⑥ $\frac{3}{4}x - \frac{1}{2}x = \frac{9}{4}$
解：$\frac{1}{4}x = \frac{9}{4}$
$x = \frac{9}{4} × 4$
$x = 9$
⑦ $6 - \frac{3}{8}x = 0.75$
解：$\frac{3}{8}x = 6 - 0.75$
$\frac{3}{8}x = 5.25$
$x = 5.25 × \frac{8}{3}$
$x = 14$
⑧ $(1 + 5\%)x = 14.7$
解：$1.05x = 14.7$
$x = \frac{14.7}{1.05}$
$x = 14$
⑨ $0.25:x = \frac{4}{7}$
解：根据比例关系，得
$x = 0.25 × \frac{7}{4}$
$x = \frac{7}{16}$