《2025年心算口算巧算六年级上册北师大版》

计算下面各题。$(\frac{2}{51} + \frac{5}{18}) × 9 × 17$

答案： $\frac{2}{51}×9×17 + \frac{5}{18}×9×17 = 6 + \frac{85}{2} = \frac{97}{2}$

计算下面各题。$\frac{4}{9} ÷ (\frac{2}{3} - \frac{2}{9}) × \frac{1}{2}$

答案： $\frac{4}{9} ÷ \frac{4}{9} × \frac{1}{2} = 1×\frac{1}{2} = \frac{1}{2}$

计算下面各题。$(\frac{5}{6} - \frac{1}{4} × \frac{2}{3}) ÷ \frac{1}{6}$

答案： $(\frac{5}{6} - \frac{1}{6})×6 = \frac{4}{6}×6 = 4$

计算下面各题。$\frac{7}{6} + 75\% ÷ \frac{3}{4} - 2 - 7 × \frac{1}{6} ÷ 7 × \frac{1}{6}$

答案： $\frac{7}{6} + 1 - 2 - \frac{1}{36} = \frac{13}{6} - 2 - \frac{1}{36} = \frac{1}{6} - \frac{1}{36} = \frac{5}{36}$

计算下面各题。$\frac{8}{9} × \frac{5}{16} + (\frac{7}{16} - \frac{1}{4}) ÷ \frac{1}{8}$

答案： $\frac{5}{18} + (\frac{7}{16} - \frac{4}{16})×8 = \frac{5}{18} + \frac{3}{16}×8 = \frac{5}{18} + \frac{3}{2} = \frac{5}{18} + \frac{27}{18} = \frac{32}{18} = \frac{16}{9}$

计算下面各题。$10 × (\frac{4}{5} - 0.5) ÷ \frac{3}{7}$

答案： $10×\frac{3}{10}×\frac{7}{3} = 3×\frac{7}{3} = 7$

计算下面各题。$\frac{12}{7} × (5 ÷ \frac{5}{6} - \frac{5}{6} ÷ 5)$

答案： $\frac{12}{7}×(6 - \frac{1}{6}) = \frac{12}{7}×\frac{35}{6} = 10$

计算下面各题。$\frac{2}{7} × (40\% × \frac{2}{5} ÷ \frac{4}{15} + \frac{1}{10})$

答案： $\frac{2}{7}×(\frac{2}{5}×\frac{2}{5}×\frac{15}{4} + \frac{1}{10}) = \frac{2}{7}×(\frac{3}{5} + \frac{1}{10}) = \frac{2}{7}×\frac{7}{10} = \frac{1}{5}$

计算下面各题。$\frac{5}{6} - (0.15 + \frac{9}{20}) ÷ 18$

答案： $\frac{5}{6} - (\frac{3}{20} + \frac{9}{20})×\frac{1}{18} = \frac{5}{6} - \frac{12}{20}×\frac{1}{18} = \frac{5}{6} - \frac{1}{30} = \frac{25}{30} - \frac{1}{30} = \frac{24}{30} = \frac{4}{5}$

计算下面各题。$0.125 × \frac{3}{4} + \frac{1}{8} × 8.25$

答案： $\frac{1}{8}×(\frac{3}{4} + 8.25) = \frac{1}{8}×9 = \frac{9}{8}$