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1.脱式计算。
$\frac{3}{7} ÷ \frac{8}{9}$
$\frac{1}{48} ÷ \frac{13}{24}$
$\frac{6}{11} ÷ 4$
$\frac{5}{4} ÷ \frac{4}{5}$
$\frac{16}{27} ÷ \frac{8}{9}$
$\frac{5}{12} ÷ \frac{5}{4}$
$\frac{4}{5} ÷ \frac{16}{35} × \frac{8}{15}$
$\frac{4}{9} × \frac{27}{40} ÷ \frac{15}{28}$
$\frac{16}{27} ÷ (\frac{20}{21} × \frac{28}{45})$
$\frac{12}{13} ÷ (\frac{4}{39} ÷ \frac{8}{9})$
$\frac{6}{7} ÷ (\frac{6}{15} ÷ \frac{7}{15})$
$\frac{7}{8} × (\frac{3}{24} ÷ \frac{7}{48})$
$\frac{3}{7} ÷ \frac{8}{9}$
$\frac{1}{48} ÷ \frac{13}{24}$
$\frac{6}{11} ÷ 4$
$\frac{5}{4} ÷ \frac{4}{5}$
$\frac{16}{27} ÷ \frac{8}{9}$
$\frac{5}{12} ÷ \frac{5}{4}$
$\frac{4}{5} ÷ \frac{16}{35} × \frac{8}{15}$
$\frac{4}{9} × \frac{27}{40} ÷ \frac{15}{28}$
$\frac{16}{27} ÷ (\frac{20}{21} × \frac{28}{45})$
$\frac{12}{13} ÷ (\frac{4}{39} ÷ \frac{8}{9})$
$\frac{6}{7} ÷ (\frac{6}{15} ÷ \frac{7}{15})$
$\frac{7}{8} × (\frac{3}{24} ÷ \frac{7}{48})$
答案
$\frac{3}{7} ÷ \frac{8}{9}$
$=\frac{3}{7} × \frac{9}{8}$
$=\frac{27}{56}$
$\frac{1}{48} ÷ \frac{13}{24}$
$=\frac{1}{48} × \frac{24}{13}$
$=\frac{1}{26}$
$\frac{6}{11} ÷ 4$
$=\frac{6}{11} × \frac{1}{4}$
$=\frac{3}{22}$
$\frac{5}{4} ÷ \frac{4}{5}$
$=\frac{5}{4} × \frac{5}{4}$
$=\frac{25}{16}$
$\frac{16}{27} ÷ \frac{8}{9}$
$=\frac{16}{27} × \frac{9}{8}$
$=\frac{2}{3}$
$\frac{5}{12} ÷ \frac{5}{4}$
$=\frac{5}{12} × \frac{4}{5}$
$=\frac{1}{3}$
$\frac{4}{5} ÷ \frac{16}{35} × \frac{8}{15}$
$=\frac{4}{5} × \frac{35}{16} × \frac{8}{15}$
$=\frac{7}{4} × \frac{8}{15}$
$=\frac{14}{15}$
$\frac{4}{9} × \frac{27}{40} ÷ \frac{15}{28}$
$=\frac{3}{10} × \frac{28}{15}$
$=\frac{14}{25}$
$\frac{16}{27} ÷ (\frac{20}{21} × \frac{28}{45})$
$=\frac{16}{27} ÷ \frac{16}{27}$
$=\frac{16}{27} × \frac{27}{16}$
$=1$
$\frac{12}{13} ÷ (\frac{4}{39} ÷ \frac{8}{9})$
$=\frac{12}{13} ÷ (\frac{4}{39} × \frac{9}{8})$
$=\frac{12}{13} ÷ \frac{3}{26}$
$=\frac{12}{13} × \frac{26}{3}$
$=8$
$\frac{6}{7} ÷ (\frac{6}{15} ÷ \frac{7}{15})$
$=\frac{6}{7} ÷ (\frac{6}{15} × \frac{15}{7})$
$=\frac{6}{7} ÷ \frac{6}{7}$
$=\frac{6}{7} × \frac{7}{6}$
$=1$
$\frac{7}{8} × (\frac{3}{24} ÷ \frac{7}{48})$
$=\frac{7}{8} × (\frac{3}{24} × \frac{48}{7})$
$=\frac{7}{8} × \frac{6}{7}$
$=\frac{3}{4}$
$=\frac{3}{7} × \frac{9}{8}$
$=\frac{27}{56}$
$\frac{1}{48} ÷ \frac{13}{24}$
$=\frac{1}{48} × \frac{24}{13}$
$=\frac{1}{26}$
$\frac{6}{11} ÷ 4$
$=\frac{6}{11} × \frac{1}{4}$
$=\frac{3}{22}$
$\frac{5}{4} ÷ \frac{4}{5}$
$=\frac{5}{4} × \frac{5}{4}$
$=\frac{25}{16}$
$\frac{16}{27} ÷ \frac{8}{9}$
$=\frac{16}{27} × \frac{9}{8}$
$=\frac{2}{3}$
$\frac{5}{12} ÷ \frac{5}{4}$
$=\frac{5}{12} × \frac{4}{5}$
$=\frac{1}{3}$
$\frac{4}{5} ÷ \frac{16}{35} × \frac{8}{15}$
$=\frac{4}{5} × \frac{35}{16} × \frac{8}{15}$
$=\frac{7}{4} × \frac{8}{15}$
$=\frac{14}{15}$
$\frac{4}{9} × \frac{27}{40} ÷ \frac{15}{28}$
$=\frac{3}{10} × \frac{28}{15}$
$=\frac{14}{25}$
$\frac{16}{27} ÷ (\frac{20}{21} × \frac{28}{45})$
$=\frac{16}{27} ÷ \frac{16}{27}$
$=\frac{16}{27} × \frac{27}{16}$
$=1$
$\frac{12}{13} ÷ (\frac{4}{39} ÷ \frac{8}{9})$
$=\frac{12}{13} ÷ (\frac{4}{39} × \frac{9}{8})$
$=\frac{12}{13} ÷ \frac{3}{26}$
$=\frac{12}{13} × \frac{26}{3}$
$=8$
$\frac{6}{7} ÷ (\frac{6}{15} ÷ \frac{7}{15})$
$=\frac{6}{7} ÷ (\frac{6}{15} × \frac{15}{7})$
$=\frac{6}{7} ÷ \frac{6}{7}$
$=\frac{6}{7} × \frac{7}{6}$
$=1$
$\frac{7}{8} × (\frac{3}{24} ÷ \frac{7}{48})$
$=\frac{7}{8} × (\frac{3}{24} × \frac{48}{7})$
$=\frac{7}{8} × \frac{6}{7}$
$=\frac{3}{4}$
2.解方程。
$6x=\frac{18}{19}$
$\frac{3}{4}x=12$
$\frac{9}{5}x=\frac{3}{10}$
$\frac{9}{5}x=\frac{2}{15}$
$\frac{4}{5}x=\frac{8}{15}$
$\frac{2}{3}x=\frac{7}{16}$
$6x=\frac{18}{19}$
$\frac{3}{4}x=12$
$\frac{9}{5}x=\frac{3}{10}$
$\frac{9}{5}x=\frac{2}{15}$
$\frac{4}{5}x=\frac{8}{15}$
$\frac{2}{3}x=\frac{7}{16}$
答案
解：$6x=\frac{18}{19}$
$x=\frac{18}{19}÷6$
$x=\frac{18}{19}×\frac{1}{6}$
$x=\frac{3}{19}$
解：$\frac{3}{4}x=12$
$x=12÷\frac{3}{4}$
$x=12×\frac{4}{3}$
$x=16$
解：$\frac{9}{5}x=\frac{3}{10}$
$x=\frac{3}{10}÷\frac{9}{5}$
$x=\frac{3}{10}×\frac{5}{9}$
$x=\frac{1}{6}$
解：$\frac{9}{5}x=\frac{2}{15}$
$x=\frac{2}{15}÷\frac{9}{5}$
$x=\frac{2}{15}×\frac{5}{9}$
$x=\frac{2}{27}$
解：$\frac{4}{5}x=\frac{8}{15}$
$x=\frac{8}{15}÷\frac{4}{5}$
$x=\frac{8}{15}×\frac{5}{4}$
$x=\frac{2}{3}$
解：$\frac{2}{3}x=\frac{7}{16}$
$x=\frac{7}{16}÷\frac{2}{3}$
$x=\frac{7}{16}×\frac{3}{2}$
$x=\frac{21}{32}$
$x=\frac{18}{19}÷6$
$x=\frac{18}{19}×\frac{1}{6}$
$x=\frac{3}{19}$
解：$\frac{3}{4}x=12$
$x=12÷\frac{3}{4}$
$x=12×\frac{4}{3}$
$x=16$
解：$\frac{9}{5}x=\frac{3}{10}$
$x=\frac{3}{10}÷\frac{9}{5}$
$x=\frac{3}{10}×\frac{5}{9}$
$x=\frac{1}{6}$
解：$\frac{9}{5}x=\frac{2}{15}$
$x=\frac{2}{15}÷\frac{9}{5}$
$x=\frac{2}{15}×\frac{5}{9}$
$x=\frac{2}{27}$
解：$\frac{4}{5}x=\frac{8}{15}$
$x=\frac{8}{15}÷\frac{4}{5}$
$x=\frac{8}{15}×\frac{5}{4}$
$x=\frac{2}{3}$
解：$\frac{2}{3}x=\frac{7}{16}$
$x=\frac{7}{16}÷\frac{2}{3}$
$x=\frac{7}{16}×\frac{3}{2}$
$x=\frac{21}{32}$
