1. 直接写出得数。
$\frac{1}{4}+\frac{1}{3}=$
$3-\frac{1}{3}=$
$\frac{2}{3}-\frac{1}{10}=$
$\frac{5}{7}×\frac{1}{19}×0=$
$\frac{3}{4}×\frac{6}{7}=$
$\frac{1}{4}÷\frac{1}{5}=$
$0.25×0.125=$
$1÷\frac{6}{7}=$
$\frac{1}{4}+\frac{1}{3}=$
$3-\frac{1}{3}=$
$\frac{2}{3}-\frac{1}{10}=$
$\frac{5}{7}×\frac{1}{19}×0=$
$\frac{3}{4}×\frac{6}{7}=$
$\frac{1}{4}÷\frac{1}{5}=$
$0.25×0.125=$
$1÷\frac{6}{7}=$
答案
$\frac{1}{4}+\frac{1}{3}=\frac{3}{12}+\frac{4}{12}=\frac{7}{12}$
$3-\frac{1}{3}=\frac{9}{3}-\frac{1}{3}=\frac{8}{3}=2\frac{2}{3}$
$\frac{2}{3}-\frac{1}{10}=\frac{20}{30}-\frac{3}{30}=\frac{17}{30}$
$\frac{5}{7}×\frac{1}{19}×0=0$
$\frac{3}{4}×\frac{6}{7}=\frac{18}{28}=\frac{9}{14}$
$\frac{1}{4}÷\frac{1}{5}=\frac{1}{4}×5=\frac{5}{4}=1\frac{1}{4}$
$0.25×0.125=\frac{1}{4}×\frac{1}{8}=\frac{1}{32}$
$1÷\frac{6}{7}=1×\frac{7}{6}=\frac{7}{6}=1\frac{1}{6}$
$3-\frac{1}{3}=\frac{9}{3}-\frac{1}{3}=\frac{8}{3}=2\frac{2}{3}$
$\frac{2}{3}-\frac{1}{10}=\frac{20}{30}-\frac{3}{30}=\frac{17}{30}$
$\frac{5}{7}×\frac{1}{19}×0=0$
$\frac{3}{4}×\frac{6}{7}=\frac{18}{28}=\frac{9}{14}$
$\frac{1}{4}÷\frac{1}{5}=\frac{1}{4}×5=\frac{5}{4}=1\frac{1}{4}$
$0.25×0.125=\frac{1}{4}×\frac{1}{8}=\frac{1}{32}$
$1÷\frac{6}{7}=1×\frac{7}{6}=\frac{7}{6}=1\frac{1}{6}$
2. 计算下面各题,能用简便方法计算的要用简便方法计算。
$\frac{2}{3}-\frac{8}{9}÷\frac{5}{6}×\frac{3}{16}$
$\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]$
$\frac{14}{15}×(\frac{5}{14}+\frac{5}{21})+\frac{2}{3}$
$\frac{5}{9}÷\frac{6}{7}-\frac{5}{9}×\frac{1}{6}$
$3-(\frac{5}{8}÷\frac{5}{16}+\frac{3}{14})$
$7×(\frac{5}{7}+\frac{3}{8})×8$
$\frac{2}{3}-\frac{8}{9}÷\frac{5}{6}×\frac{3}{16}$
$\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]$
$\frac{14}{15}×(\frac{5}{14}+\frac{5}{21})+\frac{2}{3}$
$\frac{5}{9}÷\frac{6}{7}-\frac{5}{9}×\frac{1}{6}$
$3-(\frac{5}{8}÷\frac{5}{16}+\frac{3}{14})$
$7×(\frac{5}{7}+\frac{3}{8})×8$
答案
$\frac{2}{3}-\frac{8}{9}÷\frac{5}{6}×\frac{3}{16}$
$=\frac{2}{3}-\frac{8}{9}×\frac{6}{5}×\frac{3}{16}$
$=\frac{2}{3}-\frac{1}{5}$
$=\frac{10}{15}-\frac{3}{15}$
$=\frac{7}{15}$
$\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]$
$=\frac{9}{10}÷[\frac{1}{2}×(\frac{12}{10}-\frac{7}{10})]$
$=\frac{9}{10}÷(\frac{1}{2}×\frac{1}{2})$
$=\frac{9}{10}÷\frac{1}{4}$
$=\frac{9}{10}×4$
$=\frac{18}{5}$
$\frac{14}{15}×(\frac{5}{14}+\frac{5}{21})+\frac{2}{3}$
$=\frac{14}{15}×\frac{5}{14}+\frac{14}{15}×\frac{5}{21}+\frac{2}{3}$
$=\frac{1}{3}+\frac{2}{9}+\frac{2}{3}$
$=(\frac{1}{3}+\frac{2}{3})+\frac{2}{9}$
$=1+\frac{2}{9}$
$=\frac{11}{9}$
$\frac{5}{9}÷\frac{6}{7}-\frac{5}{9}×\frac{1}{6}$
$=\frac{5}{9}×\frac{7}{6}-\frac{5}{9}×\frac{1}{6}$
$=\frac{5}{9}×(\frac{7}{6}-\frac{1}{6})$
$=\frac{5}{9}×1$
$=\frac{5}{9}$
$3-(\frac{5}{8}÷\frac{5}{16}+\frac{3}{14})$
$=3-(\frac{5}{8}×\frac{16}{5}+\frac{3}{14})$
$=3-(2+\frac{3}{14})$
$=3-2-\frac{3}{14}$
$=1-\frac{3}{14}$
$=\frac{11}{14}$
$7×(\frac{5}{7}+\frac{3}{8})×8$
$=7×8×\frac{5}{7}+7×8×\frac{3}{8}$
$=40+21$
$=61$
$=\frac{2}{3}-\frac{8}{9}×\frac{6}{5}×\frac{3}{16}$
$=\frac{2}{3}-\frac{1}{5}$
$=\frac{10}{15}-\frac{3}{15}$
$=\frac{7}{15}$
$\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]$
$=\frac{9}{10}÷[\frac{1}{2}×(\frac{12}{10}-\frac{7}{10})]$
$=\frac{9}{10}÷(\frac{1}{2}×\frac{1}{2})$
$=\frac{9}{10}÷\frac{1}{4}$
$=\frac{9}{10}×4$
$=\frac{18}{5}$
$\frac{14}{15}×(\frac{5}{14}+\frac{5}{21})+\frac{2}{3}$
$=\frac{14}{15}×\frac{5}{14}+\frac{14}{15}×\frac{5}{21}+\frac{2}{3}$
$=\frac{1}{3}+\frac{2}{9}+\frac{2}{3}$
$=(\frac{1}{3}+\frac{2}{3})+\frac{2}{9}$
$=1+\frac{2}{9}$
$=\frac{11}{9}$
$\frac{5}{9}÷\frac{6}{7}-\frac{5}{9}×\frac{1}{6}$
$=\frac{5}{9}×\frac{7}{6}-\frac{5}{9}×\frac{1}{6}$
$=\frac{5}{9}×(\frac{7}{6}-\frac{1}{6})$
$=\frac{5}{9}×1$
$=\frac{5}{9}$
$3-(\frac{5}{8}÷\frac{5}{16}+\frac{3}{14})$
$=3-(\frac{5}{8}×\frac{16}{5}+\frac{3}{14})$
$=3-(2+\frac{3}{14})$
$=3-2-\frac{3}{14}$
$=1-\frac{3}{14}$
$=\frac{11}{14}$
$7×(\frac{5}{7}+\frac{3}{8})×8$
$=7×8×\frac{5}{7}+7×8×\frac{3}{8}$
$=40+21$
$=61$
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