二、计算下面各题,怎样简便就怎样计算。
$\frac {2}{5}-\frac {1}{9}÷\frac {8}{9}+\frac {3}{8}$ $\frac {1}{8}+\frac {1}{2}÷4+\frac {3}{4}$ $3×(\frac {15}{17}-\frac {3}{4})÷\frac {3}{4}$
$\frac {7}{5}×\frac {2}{3}+\frac {14}{15}÷\frac {1}{9}$ $\frac {1}{7}×34×7×\frac {2}{17}$ $(\frac {4}{5}+\frac {2}{3})×\frac {1}{3}+\frac {2}{3}$
$(\frac {3}{5}-\frac {1}{3})×3×5$ $35×(1-\frac {3}{7})÷\frac {5}{12}$ $(3×\frac {7}{20}+\frac {3}{10})÷7$
$\frac {4}{5}÷(\frac {5}{6}×\frac {3}{5})-\frac {1}{2}$ $101×\frac {1}{5}-\frac {1}{5}$ $(150×30\% +\frac {2}{7})÷\frac {5}{6}$
$(\frac {4}{5}+\frac {1}{4})÷\frac {7}{3}+\frac {7}{10}$ $\frac {8}{49}÷[\frac {9}{8}-(\frac {1}{8}+\frac {3}{7})]$ $960×(1-25\% -\frac {1}{6})$
$\frac {2}{5}-\frac {1}{9}÷\frac {8}{9}+\frac {3}{8}$ $\frac {1}{8}+\frac {1}{2}÷4+\frac {3}{4}$ $3×(\frac {15}{17}-\frac {3}{4})÷\frac {3}{4}$
$\frac {7}{5}×\frac {2}{3}+\frac {14}{15}÷\frac {1}{9}$ $\frac {1}{7}×34×7×\frac {2}{17}$ $(\frac {4}{5}+\frac {2}{3})×\frac {1}{3}+\frac {2}{3}$
$(\frac {3}{5}-\frac {1}{3})×3×5$ $35×(1-\frac {3}{7})÷\frac {5}{12}$ $(3×\frac {7}{20}+\frac {3}{10})÷7$
$\frac {4}{5}÷(\frac {5}{6}×\frac {3}{5})-\frac {1}{2}$ $101×\frac {1}{5}-\frac {1}{5}$ $(150×30\% +\frac {2}{7})÷\frac {5}{6}$
$(\frac {4}{5}+\frac {1}{4})÷\frac {7}{3}+\frac {7}{10}$ $\frac {8}{49}÷[\frac {9}{8}-(\frac {1}{8}+\frac {3}{7})]$ $960×(1-25\% -\frac {1}{6})$
答案
$\frac{2}{5}-\frac{1}{9}÷\frac{8}{9}+\frac{3}{8}$
$=\frac{2}{5}-\frac{1}{9}×\frac{9}{8}+\frac{3}{8}$
$=\frac{2}{5}-\frac{1}{8}+\frac{3}{8}$
$=\frac{2}{5}+(\frac{3}{8}-\frac{1}{8})$
$=\frac{2}{5}+\frac{1}{4}$
$=\frac{8}{20}+\frac{5}{20}$
$=\frac{13}{20}$
$\frac{1}{8}+\frac{1}{2}÷4+\frac{3}{4}$
$=\frac{1}{8}+\frac{1}{2}×\frac{1}{4}+\frac{3}{4}$
$=\frac{1}{8}+\frac{1}{8}+\frac{3}{4}$
$=\frac{2}{8}+\frac{3}{4}$
$=\frac{1}{4}+\frac{3}{4}$
$=1$
$3×(\frac{15}{17}-\frac{3}{4})÷\frac{3}{4}$
$=3×(\frac{60}{68}-\frac{51}{68})×\frac{4}{3}$
$=3×\frac{9}{68}×\frac{4}{3}$
$=3×\frac{4}{3}×\frac{9}{68}$
$=4×\frac{9}{68}$
$=\frac{36}{68}$
$=\frac{9}{17}$
$\frac{7}{5}×\frac{2}{3}+\frac{14}{15}÷\frac{1}{9}$
$=\frac{14}{15}+\frac{14}{15}×9$
$=\frac{14}{15}×(1 + 9)$
$=\frac{14}{15}×10$
$=\frac{140}{15}$
$=\frac{28}{3}$
$\frac{1}{7}×34×7×\frac{2}{17}$
$=(\frac{1}{7}×7)×(34×\frac{2}{17})$
$=1×4$
$=4$
$(\frac{4}{5}+\frac{2}{3})×\frac{1}{3}+\frac{2}{3}$
$=(\frac{12}{15}+\frac{10}{15})×\frac{1}{3}+\frac{2}{3}$
$=\frac{22}{15}×\frac{1}{3}+\frac{2}{3}$
$=\frac{22}{45}+\frac{30}{45}$
$=\frac{52}{45}$
$(\frac{3}{5}-\frac{1}{3})×3×5$
$=\frac{3}{5}×3×5 - \frac{1}{3}×3×5$
$=9 - 5$
$=4$
$35×(1 - \frac{3}{7})÷\frac{5}{12}$
$=35×\frac{4}{7}×\frac{12}{5}$
$=20×\frac{12}{5}$
$=48$
$(3×\frac{7}{20}+\frac{3}{10})÷7$
$=(\frac{21}{20}+\frac{6}{20})×\frac{1}{7}$
$=\frac{27}{20}×\frac{1}{7}$
$=\frac{27}{140}$
$\frac{4}{5}÷(\frac{5}{6}×\frac{3}{5}) - \frac{1}{2}$
$=\frac{4}{5}÷\frac{1}{2} - \frac{1}{2}$
$=\frac{4}{5}×2 - \frac{1}{2}$
$=\frac{8}{5} - \frac{1}{2}$
$=\frac{16}{10} - \frac{5}{10}$
$=\frac{11}{10}$
$101×\frac{1}{5}-\frac{1}{5}$
$=(101 - 1)×\frac{1}{5}$
$=100×\frac{1}{5}$
$=20$
$(150×30\%+\frac{2}{7})÷\frac{5}{6}$
$=(45+\frac{2}{7})×\frac{6}{5}$
$=\frac{315}{7}+\frac{2}{7})×\frac{6}{5}$
$=\frac{317}{7}×\frac{6}{5}$
$=\frac{1902}{35}$
$(\frac{4}{5}+\frac{1}{4})÷\frac{7}{3}+\frac{7}{10}$
$=(\frac{16}{20}+\frac{5}{20})×\frac{3}{7}+\frac{7}{10}$
$=\frac{21}{20}×\frac{3}{7}+\frac{7}{10}$
$=\frac{9}{20}+\frac{14}{20}$
$=\frac{23}{20}$
$\frac{8}{49}÷[\frac{9}{8}-(\frac{1}{8}+\frac{3}{7})]$
$=\frac{8}{49}÷[\frac{9}{8}-\frac{1}{8}-\frac{3}{7}]$
$=\frac{8}{49}÷[1 - \frac{3}{7}]$
$=\frac{8}{49}÷\frac{4}{7}$
$=\frac{8}{49}×\frac{7}{4}$
$=\frac{2}{7}$
$960×(1 - 25\% - \frac{1}{6})$
$=960×(1 - \frac{1}{4} - \frac{1}{6})$
$=960×(\frac{12}{12}-\frac{3}{12}-\frac{2}{12})$
$=960×\frac{7}{12}$
$=560$
$=\frac{2}{5}-\frac{1}{9}×\frac{9}{8}+\frac{3}{8}$
$=\frac{2}{5}-\frac{1}{8}+\frac{3}{8}$
$=\frac{2}{5}+(\frac{3}{8}-\frac{1}{8})$
$=\frac{2}{5}+\frac{1}{4}$
$=\frac{8}{20}+\frac{5}{20}$
$=\frac{13}{20}$
$\frac{1}{8}+\frac{1}{2}÷4+\frac{3}{4}$
$=\frac{1}{8}+\frac{1}{2}×\frac{1}{4}+\frac{3}{4}$
$=\frac{1}{8}+\frac{1}{8}+\frac{3}{4}$
$=\frac{2}{8}+\frac{3}{4}$
$=\frac{1}{4}+\frac{3}{4}$
$=1$
$3×(\frac{15}{17}-\frac{3}{4})÷\frac{3}{4}$
$=3×(\frac{60}{68}-\frac{51}{68})×\frac{4}{3}$
$=3×\frac{9}{68}×\frac{4}{3}$
$=3×\frac{4}{3}×\frac{9}{68}$
$=4×\frac{9}{68}$
$=\frac{36}{68}$
$=\frac{9}{17}$
$\frac{7}{5}×\frac{2}{3}+\frac{14}{15}÷\frac{1}{9}$
$=\frac{14}{15}+\frac{14}{15}×9$
$=\frac{14}{15}×(1 + 9)$
$=\frac{14}{15}×10$
$=\frac{140}{15}$
$=\frac{28}{3}$
$\frac{1}{7}×34×7×\frac{2}{17}$
$=(\frac{1}{7}×7)×(34×\frac{2}{17})$
$=1×4$
$=4$
$(\frac{4}{5}+\frac{2}{3})×\frac{1}{3}+\frac{2}{3}$
$=(\frac{12}{15}+\frac{10}{15})×\frac{1}{3}+\frac{2}{3}$
$=\frac{22}{15}×\frac{1}{3}+\frac{2}{3}$
$=\frac{22}{45}+\frac{30}{45}$
$=\frac{52}{45}$
$(\frac{3}{5}-\frac{1}{3})×3×5$
$=\frac{3}{5}×3×5 - \frac{1}{3}×3×5$
$=9 - 5$
$=4$
$35×(1 - \frac{3}{7})÷\frac{5}{12}$
$=35×\frac{4}{7}×\frac{12}{5}$
$=20×\frac{12}{5}$
$=48$
$(3×\frac{7}{20}+\frac{3}{10})÷7$
$=(\frac{21}{20}+\frac{6}{20})×\frac{1}{7}$
$=\frac{27}{20}×\frac{1}{7}$
$=\frac{27}{140}$
$\frac{4}{5}÷(\frac{5}{6}×\frac{3}{5}) - \frac{1}{2}$
$=\frac{4}{5}÷\frac{1}{2} - \frac{1}{2}$
$=\frac{4}{5}×2 - \frac{1}{2}$
$=\frac{8}{5} - \frac{1}{2}$
$=\frac{16}{10} - \frac{5}{10}$
$=\frac{11}{10}$
$101×\frac{1}{5}-\frac{1}{5}$
$=(101 - 1)×\frac{1}{5}$
$=100×\frac{1}{5}$
$=20$
$(150×30\%+\frac{2}{7})÷\frac{5}{6}$
$=(45+\frac{2}{7})×\frac{6}{5}$
$=\frac{315}{7}+\frac{2}{7})×\frac{6}{5}$
$=\frac{317}{7}×\frac{6}{5}$
$=\frac{1902}{35}$
$(\frac{4}{5}+\frac{1}{4})÷\frac{7}{3}+\frac{7}{10}$
$=(\frac{16}{20}+\frac{5}{20})×\frac{3}{7}+\frac{7}{10}$
$=\frac{21}{20}×\frac{3}{7}+\frac{7}{10}$
$=\frac{9}{20}+\frac{14}{20}$
$=\frac{23}{20}$
$\frac{8}{49}÷[\frac{9}{8}-(\frac{1}{8}+\frac{3}{7})]$
$=\frac{8}{49}÷[\frac{9}{8}-\frac{1}{8}-\frac{3}{7}]$
$=\frac{8}{49}÷[1 - \frac{3}{7}]$
$=\frac{8}{49}÷\frac{4}{7}$
$=\frac{8}{49}×\frac{7}{4}$
$=\frac{2}{7}$
$960×(1 - 25\% - \frac{1}{6})$
$=960×(1 - \frac{1}{4} - \frac{1}{6})$
$=960×(\frac{12}{12}-\frac{3}{12}-\frac{2}{12})$
$=960×\frac{7}{12}$
$=560$
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