《2025年心算口算巧算六年级上册北师大版》

计算下面各题。$\frac{4}{7} × 6 ÷ \frac{4}{7} × 6$

答案： $\frac{4}{7} × 6 ÷ \frac{4}{7} × 6 = (\frac{4}{7} ÷ \frac{4}{7}) × (6 × 6) = 1 × 36 = 36$

计算下面各题。$14 × \frac{5}{9} ÷ 14 × \frac{5}{9}$

答案： $14 × \frac{5}{9} ÷ 14 × \frac{5}{9} = (14 ÷ 14) × (\frac{5}{9} × \frac{5}{9}) = 1 × \frac{25}{81} = \frac{25}{81}$

计算下面各题。$\frac{15}{16} × \frac{8}{21} × \frac{1}{5}$

答案： $\frac{15}{16} × \frac{8}{21} × \frac{1}{5} = \frac{15 × 8 × 1}{16 × 21 × 5} = \frac{1}{14}$

计算下面各题。$\frac{5}{24} × 25 - \frac{5}{24}$

答案： $\frac{5}{24} × 25 - \frac{5}{24} = \frac{5}{24} × (25 - 1) = \frac{5}{24} × 24 = 5$

计算下面各题。$24 × (\frac{5}{12} + \frac{3}{4} - \frac{1}{6})$

答案： $24 × (\frac{5}{12} + \frac{3}{4} - \frac{1}{6}) = 24 × \frac{5}{12} + 24 × \frac{3}{4} - 24 × \frac{1}{6} = 10 + 18 - 4 = 24$

计算下面各题。$\frac{3}{8} × 88 + \frac{1}{8} ÷ \frac{1}{88}$

答案： $\frac{3}{8} × 88 + \frac{1}{8} ÷ \frac{1}{88} = \frac{3}{8} × 88 + \frac{1}{8} × 88 = (\frac{3}{8} + \frac{1}{8}) × 88 = \frac{4}{8} × 88 = 44$

计算下面各题。$\frac{8}{13} ÷ 7 + \frac{1}{7} × \frac{6}{13}$

答案： $\frac{8}{13} ÷ 7 + \frac{1}{7} × \frac{6}{13} = \frac{8}{13} × \frac{1}{7} + \frac{6}{13} × \frac{1}{7} = (\frac{8}{13} + \frac{6}{13}) × \frac{1}{7} = \frac{14}{13} × \frac{1}{7} = \frac{2}{13}$

计算下面各题。$2 - \frac{6}{13} ÷ \frac{9}{26} - \frac{2}{3}$

答案： $2 - \frac{6}{13} ÷ \frac{9}{26} - \frac{2}{3} = 2 - \frac{6}{13} × \frac{26}{9} - \frac{2}{3} = 2 - \frac{4}{3} - \frac{2}{3} = 2 - 2 = 0$

计算下面各题。$\frac{12}{5} × (\frac{5}{6} + \frac{3}{4}) + \frac{4}{5}$

答案： $\frac{12}{5} × (\frac{5}{6} + \frac{3}{4}) + \frac{4}{5} = \frac{12}{5} × (\frac{10}{12} + \frac{9}{12}) + \frac{4}{5} = \frac{12}{5} × \frac{19}{12} + \frac{4}{5} = \frac{19}{5} + \frac{4}{5} = \frac{23}{5}$

计算下面各题。$\frac{3}{5} × \frac{1}{6} × \frac{5}{7} + \frac{2}{7}$

答案： $\frac{3}{5} × \frac{1}{6} × \frac{5}{7} + \frac{2}{7} = \frac{3 × 1 × 5}{5 × 6 × 7} + \frac{2}{7} = \frac{1}{14} + \frac{4}{14} = \frac{5}{14}$

计算下面各题。$(\frac{5}{8} + \frac{5}{6}) × \frac{4}{25}$

答案： $(\frac{5}{8} + \frac{5}{6}) × \frac{4}{25} = (\frac{15}{24} + \frac{20}{24}) × \frac{4}{25} = \frac{35}{24} × \frac{4}{25} = \frac{7}{30}$

计算下面各题。$\frac{13}{27} × 8 + \frac{19}{27} × 13$

答案： $\frac{13}{27} × 8 + \frac{19}{27} × 13 = \frac{104}{27} + \frac{247}{27} = \frac{351}{27} = 13$

计算下面各题。$\frac{1}{2} × \frac{1}{3} × \frac{8}{9}$

答案： $\frac{1}{2} × \frac{1}{3} × \frac{8}{9} = \frac{8}{54} = \frac{4}{27}$

计算下面各题。$(\frac{3}{4} + \frac{5}{12}) ÷ \frac{1}{4}$

答案： $(\frac{3}{4} + \frac{5}{12}) ÷ \frac{1}{4} = (\frac{9}{12} + \frac{5}{12}) × 4 = \frac{14}{12} × 4 = \frac{14}{3}$

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

答案： $(\frac{2}{3} + \frac{2}{3}) × \frac{4}{9} = \frac{4}{3} × \frac{4}{9} = \frac{16}{27}$