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一、解方程。
$4x= \frac {1}{3}$
$\frac {3}{8}+x= \frac {3}{5}$
$\frac {7}{10}x+\frac {1}{5}= \frac {17}{25}$
$2x-\frac {2}{3}x= \frac {5}{6}$
$x+\frac {3}{8}x= 121$
$\frac {1}{6}(x-\frac {1}{2})= \frac {4}{3}$
$4x= \frac {1}{3}$
$\frac {3}{8}+x= \frac {3}{5}$
$\frac {7}{10}x+\frac {1}{5}= \frac {17}{25}$
$2x-\frac {2}{3}x= \frac {5}{6}$
$x+\frac {3}{8}x= 121$
$\frac {1}{6}(x-\frac {1}{2})= \frac {4}{3}$
答案
一、$x=\frac{1}{12}$ $x=\frac{9}{40}$ $x=\frac{24}{35}$ $x=\frac{5}{8}$ $x=88$ $x=8\frac{1}{2}$
解析
解：$4x=\frac{1}{3}$
$x=\frac{1}{3}÷4$
$x=\frac{1}{12}$
$\frac{3}{8}+x=\frac{3}{5}$
$x=\frac{3}{5}-\frac{3}{8}$
$x=\frac{24}{40}-\frac{15}{40}$
$x=\frac{9}{40}$
$\frac{7}{10}x+\frac{1}{5}=\frac{17}{25}$
$\frac{7}{10}x=\frac{17}{25}-\frac{1}{5}$
$\frac{7}{10}x=\frac{17}{25}-\frac{5}{25}$
$\frac{7}{10}x=\frac{12}{25}$
$x=\frac{12}{25}÷\frac{7}{10}$
$x=\frac{12}{25}×\frac{10}{7}$
$x=\frac{24}{35}$
$2x-\frac{2}{3}x=\frac{5}{6}$
$\frac{6}{3}x-\frac{2}{3}x=\frac{5}{6}$
$\frac{4}{3}x=\frac{5}{6}$
$x=\frac{5}{6}÷\frac{4}{3}$
$x=\frac{5}{6}×\frac{3}{4}$
$x=\frac{5}{8}$
$x+\frac{3}{8}x=121$
$\frac{8}{8}x+\frac{3}{8}x=121$
$\frac{11}{8}x=121$
$x=121÷\frac{11}{8}$
$x=121×\frac{8}{11}$
$x=88$
$\frac{1}{6}(x-\frac{1}{2})=\frac{4}{3}$
$x-\frac{1}{2}=\frac{4}{3}÷\frac{1}{6}$
$x-\frac{1}{2}=\frac{4}{3}×6$
$x-\frac{1}{2}=8$
$x=8+\frac{1}{2}$
$x=8\frac{1}{2}$
$x=\frac{1}{3}÷4$
$x=\frac{1}{12}$
$\frac{3}{8}+x=\frac{3}{5}$
$x=\frac{3}{5}-\frac{3}{8}$
$x=\frac{24}{40}-\frac{15}{40}$
$x=\frac{9}{40}$
$\frac{7}{10}x+\frac{1}{5}=\frac{17}{25}$
$\frac{7}{10}x=\frac{17}{25}-\frac{1}{5}$
$\frac{7}{10}x=\frac{17}{25}-\frac{5}{25}$
$\frac{7}{10}x=\frac{12}{25}$
$x=\frac{12}{25}÷\frac{7}{10}$
$x=\frac{12}{25}×\frac{10}{7}$
$x=\frac{24}{35}$
$2x-\frac{2}{3}x=\frac{5}{6}$
$\frac{6}{3}x-\frac{2}{3}x=\frac{5}{6}$
$\frac{4}{3}x=\frac{5}{6}$
$x=\frac{5}{6}÷\frac{4}{3}$
$x=\frac{5}{6}×\frac{3}{4}$
$x=\frac{5}{8}$
$x+\frac{3}{8}x=121$
$\frac{8}{8}x+\frac{3}{8}x=121$
$\frac{11}{8}x=121$
$x=121÷\frac{11}{8}$
$x=121×\frac{8}{11}$
$x=88$
$\frac{1}{6}(x-\frac{1}{2})=\frac{4}{3}$
$x-\frac{1}{2}=\frac{4}{3}÷\frac{1}{6}$
$x-\frac{1}{2}=\frac{4}{3}×6$
$x-\frac{1}{2}=8$
$x=8+\frac{1}{2}$
$x=8\frac{1}{2}$
二、简便计算下面各题。
$\frac {7}{9}÷\frac {11}{5}+\frac {2}{9}×\frac {5}{11}$
$\frac {9}{5}-(\frac {1}{6}+\frac {6}{7}÷\frac {15}{14})$
$1-\frac {5}{8}÷\frac {25}{28}-\frac {3}{10}$
$\frac {9}{2}×\frac {5}{8}-\frac {5}{2}÷\frac {8}{5}$
$90×(\frac {1}{6}+\frac {1}{10}+\frac {1}{15})$
$99×\frac {99}{100}$
$\frac {7}{18}×\frac {1}{4}+\frac {3}{4}×\frac {7}{18}$
$(\frac {6}{13}+\frac {1}{21})×13+\frac {8}{21}$
$\frac {15}{16}×15+\frac {15}{16}$
$\frac {7}{9}÷\frac {11}{5}+\frac {2}{9}×\frac {5}{11}$
$\frac {9}{5}-(\frac {1}{6}+\frac {6}{7}÷\frac {15}{14})$
$1-\frac {5}{8}÷\frac {25}{28}-\frac {3}{10}$
$\frac {9}{2}×\frac {5}{8}-\frac {5}{2}÷\frac {8}{5}$
$90×(\frac {1}{6}+\frac {1}{10}+\frac {1}{15})$
$99×\frac {99}{100}$
$\frac {7}{18}×\frac {1}{4}+\frac {3}{4}×\frac {7}{18}$
$(\frac {6}{13}+\frac {1}{21})×13+\frac {8}{21}$
$\frac {15}{16}×15+\frac {15}{16}$
答案
二、$\frac{5}{11}$ $\frac{5}{6}$ $0$ $\frac{5}{4}$ $30$ $98\frac{1}{100}$ $\frac{7}{18}$ $7$ $15$
解析
$\frac{7}{9}÷\frac{11}{5}+\frac{2}{9}×\frac{5}{11}$
$=\frac{7}{9}×\frac{5}{11}+\frac{2}{9}×\frac{5}{11}$
$=(\frac{7}{9}+\frac{2}{9})×\frac{5}{11}$
$=1×\frac{5}{11}$
$=\frac{5}{11}$
$\frac{9}{5}-(\frac{1}{6}+\frac{6}{7}÷\frac{15}{14})$
$=\frac{9}{5}-(\frac{1}{6}+\frac{6}{7}×\frac{14}{15})$
$=\frac{9}{5}-(\frac{1}{6}+\frac{4}{5})$
$=\frac{9}{5}-\frac{4}{5}-\frac{1}{6}$
$=1-\frac{1}{6}$
$=\frac{5}{6}$
$1-\frac{5}{8}÷\frac{25}{28}-\frac{3}{10}$
$=1-\frac{5}{8}×\frac{28}{25}-\frac{3}{10}$
$=1-\frac{7}{10}-\frac{3}{10}$
$=1-(\frac{7}{10}+\frac{3}{10})$
$=1-1$
$=0$
$\frac{9}{2}×\frac{5}{8}-\frac{5}{2}÷\frac{8}{5}$
$=\frac{9}{2}×\frac{5}{8}-\frac{5}{2}×\frac{5}{8}$
$=(\frac{9}{2}-\frac{5}{2})×\frac{5}{8}$
$=2×\frac{5}{8}$
$=\frac{5}{4}$
$90×(\frac{1}{6}+\frac{1}{10}+\frac{1}{15})$
$=90×\frac{1}{6}+90×\frac{1}{10}+90×\frac{1}{15}$
$=15+9+6$
$=30$
$99×\frac{99}{100}$
$=(100-1)×\frac{99}{100}$
$=100×\frac{99}{100}-1×\frac{99}{100}$
$=99-\frac{99}{100}$
$=98\frac{1}{100}$
$\frac{7}{18}×\frac{1}{4}+\frac{3}{4}×\frac{7}{18}$
$=\frac{7}{18}×(\frac{1}{4}+\frac{3}{4})$
$=\frac{7}{18}×1$
$=\frac{7}{18}$
$(\frac{6}{13}+\frac{1}{21})×13+\frac{8}{21}$
$=\frac{6}{13}×13+\frac{1}{21}×13+\frac{8}{21}$
$=6+(\frac{13}{21}+\frac{8}{21})$
$=6+1$
$=7$
$\frac{15}{16}×15+\frac{15}{16}$
$=\frac{15}{16}×(15+1)$
$=\frac{15}{16}×16$
$=15$
$=\frac{7}{9}×\frac{5}{11}+\frac{2}{9}×\frac{5}{11}$
$=(\frac{7}{9}+\frac{2}{9})×\frac{5}{11}$
$=1×\frac{5}{11}$
$=\frac{5}{11}$
$\frac{9}{5}-(\frac{1}{6}+\frac{6}{7}÷\frac{15}{14})$
$=\frac{9}{5}-(\frac{1}{6}+\frac{6}{7}×\frac{14}{15})$
$=\frac{9}{5}-(\frac{1}{6}+\frac{4}{5})$
$=\frac{9}{5}-\frac{4}{5}-\frac{1}{6}$
$=1-\frac{1}{6}$
$=\frac{5}{6}$
$1-\frac{5}{8}÷\frac{25}{28}-\frac{3}{10}$
$=1-\frac{5}{8}×\frac{28}{25}-\frac{3}{10}$
$=1-\frac{7}{10}-\frac{3}{10}$
$=1-(\frac{7}{10}+\frac{3}{10})$
$=1-1$
$=0$
$\frac{9}{2}×\frac{5}{8}-\frac{5}{2}÷\frac{8}{5}$
$=\frac{9}{2}×\frac{5}{8}-\frac{5}{2}×\frac{5}{8}$
$=(\frac{9}{2}-\frac{5}{2})×\frac{5}{8}$
$=2×\frac{5}{8}$
$=\frac{5}{4}$
$90×(\frac{1}{6}+\frac{1}{10}+\frac{1}{15})$
$=90×\frac{1}{6}+90×\frac{1}{10}+90×\frac{1}{15}$
$=15+9+6$
$=30$
$99×\frac{99}{100}$
$=(100-1)×\frac{99}{100}$
$=100×\frac{99}{100}-1×\frac{99}{100}$
$=99-\frac{99}{100}$
$=98\frac{1}{100}$
$\frac{7}{18}×\frac{1}{4}+\frac{3}{4}×\frac{7}{18}$
$=\frac{7}{18}×(\frac{1}{4}+\frac{3}{4})$
$=\frac{7}{18}×1$
$=\frac{7}{18}$
$(\frac{6}{13}+\frac{1}{21})×13+\frac{8}{21}$
$=\frac{6}{13}×13+\frac{1}{21}×13+\frac{8}{21}$
$=6+(\frac{13}{21}+\frac{8}{21})$
$=6+1$
$=7$
$\frac{15}{16}×15+\frac{15}{16}$
$=\frac{15}{16}×(15+1)$
$=\frac{15}{16}×16$
$=15$
