《2025年心算口算巧算六年级上册北师大版》

1 计算下面各题。
$\frac{3}{7}$×$\frac{1}{10}$÷$\frac{2}{3}$
$\frac{5}{6}$×$\frac{4}{7}$×$\frac{3}{2}$
$\frac{9}{8}$÷$\frac{3}{4}$×2
$\frac{5}{6}$×24×$\frac{5}{8}$
$\frac{3}{4}$÷$\frac{3}{5}$÷$\frac{2}{5}$
$\frac{4}{9}$×$\frac{3}{8}$÷$\frac{5}{18}$
$\frac{1}{2}$×($\frac{1}{3}$＋$\frac{2}{9}$)
$\frac{4}{5}$×$\frac{5}{6}$÷$\frac{2}{3}$
$\frac{9}{100}$×$\frac{5}{3}$×$\frac{2}{3}$

答案： $\frac{3}{7}$×$\frac{1}{10}$÷$\frac{2}{3}$
=$\frac{3}{70}$×$\frac{3}{2}$
=$\frac{9}{140}$
$\frac{5}{6}$×$\frac{4}{7}$×$\frac{3}{2}$
=$\frac{5}{6}$×$\frac{3}{2}$×$\frac{4}{7}$
=$\frac{5}{4}$×$\frac{4}{7}$
=$\frac{5}{7}$
$\frac{9}{8}$÷$\frac{3}{4}$×2
=$\frac{9}{8}$×$\frac{4}{3}$×2
=$\frac{3}{2}$×2
=3
$\frac{5}{6}$×24×$\frac{5}{8}$
=20×$\frac{5}{8}$
=$\frac{25}{2}$
$\frac{3}{4}$÷$\frac{3}{5}$÷$\frac{2}{5}$
=$\frac{3}{4}$×$\frac{5}{3}$×$\frac{5}{2}$
=$\frac{5}{4}$×$\frac{5}{2}$
=$\frac{25}{8}$
$\frac{4}{9}$×$\frac{3}{8}$÷$\frac{5}{18}$
=$\frac{1}{6}$×$\frac{18}{5}$
=$\frac{3}{5}$
$\frac{1}{2}$×($\frac{1}{3}$＋$\frac{2}{9}$)
=$\frac{1}{2}$×$\frac{5}{9}$
=$\frac{5}{18}$
$\frac{4}{5}$×$\frac{5}{6}$÷$\frac{2}{3}$
=$\frac{2}{3}$×$\frac{3}{2}$
=1
$\frac{9}{100}$×$\frac{5}{3}$×$\frac{2}{3}$
=$\frac{3}{20}$×$\frac{2}{3}$
=$\frac{1}{10}$

解方程。$\frac{2}{3}x ÷ \frac{1}{4} = 12$

答案： $\frac{2}{3}x = 12 × \frac{1}{4} = 3$
$x = 3 × \frac{3}{2} = \frac{9}{2}$