1. 直接写出得数。
$3 - 0.36 =$
$0.6 × 0.4 =$
$0.63 ÷ \frac{9}{10} =$
$10 - 9.2 + 1.6 =$
$3.6 + 6.4 =$
$0.56 - 0.27 =$
$0.6 + 1.04 =$
$33.8 - 4 ÷ 0.2 =$
$3 ÷ 0.06 =$
$0.26 ÷ 2 =$
$23.8 - 13.8 =$
$1 ÷ 0.05 - 5.5 =$
$1.2 × \frac{25}{3} =$
$\frac{8}{7} × \frac{49}{16} =$
$\frac{3}{7} × \frac{2}{15} =$
$\frac{3}{7} - \frac{3}{7} × 0.5 =$
$\frac{5}{6} ÷ \frac{1}{15} =$
$\frac{2}{3} × \frac{5}{32} =$
$\frac{17}{5} × \frac{25}{68} =$
$1.6 × \frac{1}{8} + 8 =$
$\frac{3}{7} - \frac{3}{8} =$
$\frac{7}{9} × \frac{45}{46} =$
$\frac{2}{9} ÷ \frac{8}{27} =$
$\frac{1}{3} ÷ ( \frac{7}{4} - 1 ) =$
$3 - 0.36 =$
$0.6 × 0.4 =$
$0.63 ÷ \frac{9}{10} =$
$10 - 9.2 + 1.6 =$
$3.6 + 6.4 =$
$0.56 - 0.27 =$
$0.6 + 1.04 =$
$33.8 - 4 ÷ 0.2 =$
$3 ÷ 0.06 =$
$0.26 ÷ 2 =$
$23.8 - 13.8 =$
$1 ÷ 0.05 - 5.5 =$
$1.2 × \frac{25}{3} =$
$\frac{8}{7} × \frac{49}{16} =$
$\frac{3}{7} × \frac{2}{15} =$
$\frac{3}{7} - \frac{3}{7} × 0.5 =$
$\frac{5}{6} ÷ \frac{1}{15} =$
$\frac{2}{3} × \frac{5}{32} =$
$\frac{17}{5} × \frac{25}{68} =$
$1.6 × \frac{1}{8} + 8 =$
$\frac{3}{7} - \frac{3}{8} =$
$\frac{7}{9} × \frac{45}{46} =$
$\frac{2}{9} ÷ \frac{8}{27} =$
$\frac{1}{3} ÷ ( \frac{7}{4} - 1 ) =$
答案
$3-0.36=2.64$
$0.6 × 0.4 = 0.24$
$0.63 ÷ \frac{9}{10} = 0.7$
$10 - 9.2 + 1.6 = 2.4$
$3.6 + 6.4 = 10$
$0.56 - 0.27 = 0.29$
$0.6 + 1.04 = 1.64$
$33.8 - 4 ÷ 0.2 = 13.8$
$3 ÷ 0.06 = 50$
$0.26 ÷ 2 = 0.13$
$23.8 - 13.8 = 10$
$1 ÷ 0.05 - 5.5 = 14.5$
$1.2 × \frac{25}{3} = 10$
$\frac{8}{7} × \frac{49}{16} = \frac{7}{2}$
$\frac{3}{7} × \frac{2}{15} = \frac{2}{35}$
$\frac{3}{7} - \frac{3}{7} × 0.5 = \frac{3}{14}$
$\frac{5}{6} ÷ \frac{1}{15} = \frac{25}{2}$
$\frac{2}{3} × \frac{5}{32} = \frac{5}{48}$
$\frac{17}{5} × \frac{25}{68} = \frac{5}{4}$
$1.6 × \frac{1}{8} + 8 = 8.2$
$\frac{3}{7} - \frac{3}{8} = \frac{3}{56}$
$\frac{7}{9} × \frac{45}{46} = \frac{35}{46}$
$\frac{2}{9} ÷ \frac{8}{27} = \frac{3}{4}$
$\frac{1}{3} ÷ ( \frac{7}{4} - 1 ) = \frac{4}{9}$
$0.6 × 0.4 = 0.24$
$0.63 ÷ \frac{9}{10} = 0.7$
$10 - 9.2 + 1.6 = 2.4$
$3.6 + 6.4 = 10$
$0.56 - 0.27 = 0.29$
$0.6 + 1.04 = 1.64$
$33.8 - 4 ÷ 0.2 = 13.8$
$3 ÷ 0.06 = 50$
$0.26 ÷ 2 = 0.13$
$23.8 - 13.8 = 10$
$1 ÷ 0.05 - 5.5 = 14.5$
$1.2 × \frac{25}{3} = 10$
$\frac{8}{7} × \frac{49}{16} = \frac{7}{2}$
$\frac{3}{7} × \frac{2}{15} = \frac{2}{35}$
$\frac{3}{7} - \frac{3}{7} × 0.5 = \frac{3}{14}$
$\frac{5}{6} ÷ \frac{1}{15} = \frac{25}{2}$
$\frac{2}{3} × \frac{5}{32} = \frac{5}{48}$
$\frac{17}{5} × \frac{25}{68} = \frac{5}{4}$
$1.6 × \frac{1}{8} + 8 = 8.2$
$\frac{3}{7} - \frac{3}{8} = \frac{3}{56}$
$\frac{7}{9} × \frac{45}{46} = \frac{35}{46}$
$\frac{2}{9} ÷ \frac{8}{27} = \frac{3}{4}$
$\frac{1}{3} ÷ ( \frac{7}{4} - 1 ) = \frac{4}{9}$
2. 计算下面各题,怎样算简便就怎样算。
$2.4×\frac{3}{2}+3.6÷1.5$
$14.75÷2.5÷0.4$
$5.4÷[5.1÷(12-10.3)]$
$4.5×(\frac{1}{6}+\frac{1}{10}+\frac{1}{15})$
$\frac{14}{15}÷\frac{8}{35}×(\frac{9}{14}-\frac{4}{7})$
$\frac{9}{10}×[\frac{3}{4}÷(\frac{1}{4}+\frac{1}{5})]$
$2.4×\frac{3}{2}+3.6÷1.5$
$14.75÷2.5÷0.4$
$5.4÷[5.1÷(12-10.3)]$
$4.5×(\frac{1}{6}+\frac{1}{10}+\frac{1}{15})$
$\frac{14}{15}÷\frac{8}{35}×(\frac{9}{14}-\frac{4}{7})$
$\frac{9}{10}×[\frac{3}{4}÷(\frac{1}{4}+\frac{1}{5})]$
答案
$2.4×\frac{3}{2}+3.6÷1.5=6$
$14.75÷2.5÷0.4=14.75$
$5.4÷[5.1÷(12-10.3)]=1.8$
$4.5×(\frac{1}{6}+\frac{1}{10}+\frac{1}{15})=1.5$
$\frac{14}{15}÷\frac{8}{35}×(\frac{9}{14}-\frac{4}{7})=\frac{7}{24}$
$\frac{9}{10}×[\frac{3}{4}÷(\frac{1}{4}+\frac{1}{5})]=\frac{3}{2}$
$14.75÷2.5÷0.4=14.75$
$5.4÷[5.1÷(12-10.3)]=1.8$
$4.5×(\frac{1}{6}+\frac{1}{10}+\frac{1}{15})=1.5$
$\frac{14}{15}÷\frac{8}{35}×(\frac{9}{14}-\frac{4}{7})=\frac{7}{24}$
$\frac{9}{10}×[\frac{3}{4}÷(\frac{1}{4}+\frac{1}{5})]=\frac{3}{2}$
规律:$a ÷ b$ 的商等于 $b ÷ a$ 的商的倒数($a$、$b$ 不为 0)。
计算:$\frac{1}{60} ÷ ( \frac{4}{5} - \frac{2}{3} + \frac{3}{20} )$
计算:$\frac{1}{60} ÷ ( \frac{4}{5} - \frac{2}{3} + \frac{3}{20} )$
答案
先计算除数作为被除数的对应式子:
$(\frac{4}{5}-\frac{2}{3}+\frac{3}{20})÷\frac{1}{60}$
$=(\frac{4}{5}-\frac{2}{3}+\frac{3}{20})×60$
$=48-40+9=17$
根据给出的规律,原式的结果是17的倒数,即:
$\frac{1}{60} ÷ ( \frac{4}{5} - \frac{2}{3} + \frac{3}{20} ) = \frac{1}{17}$
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