一、口算。
$10÷\frac {4}{9}=$
$\frac {3}{2}+\frac {3}{4}=$
$\frac {2}{3}÷\frac {1}{2}=$
$45×\frac {7}{9}=$
$\frac {12}{7}×\frac {1}{2}=$
$\frac {2}{7}-\frac {1}{8}=$
$\frac {5}{2}÷\frac {1}{4}=$
$\frac {3}{4}÷\frac {2}{5}=$
$12×\frac {5}{6}=$
$\frac {3}{4}+\frac {3}{20}=$
$\frac {2}{3}÷\frac {3}{20}=$
$\frac {5}{8}-\frac {3}{5}=$
$12÷\frac {3}{4}=$
$\frac {2}{15}+\frac {3}{20}=$
$\frac {5}{8}÷\frac {5}{12}=$
$\frac {3}{4}+\frac {1}{5}=$
$\frac {1}{2}×\frac {1}{10}=$
$\frac {11}{4}×\frac {2}{11}=$
$\frac {4}{9}×\frac {3}{5}=$
$\frac {9}{5}÷\frac {3}{5}=$
$\frac {13}{5}-\frac {8}{15}=$
$10÷\frac {4}{9}=$
$\frac{45}{2}$
$\frac {3}{2}+\frac {3}{4}=$
$\frac{9}{4}$
$\frac {2}{3}÷\frac {1}{2}=$
$\frac{4}{3}$
$45×\frac {7}{9}=$
35
$\frac {12}{7}×\frac {1}{2}=$
$\frac{6}{7}$
$\frac {2}{7}-\frac {1}{8}=$
$\frac{9}{56}$
$\frac {5}{2}÷\frac {1}{4}=$
10
$\frac {3}{4}÷\frac {2}{5}=$
$\frac{15}{8}$
$12×\frac {5}{6}=$
10
$\frac {3}{4}+\frac {3}{20}=$
$\frac{9}{10}$
$\frac {2}{3}÷\frac {3}{20}=$
$\frac{40}{9}$
$\frac {5}{8}-\frac {3}{5}=$
$\frac{1}{40}$
$12÷\frac {3}{4}=$
16
$\frac {2}{15}+\frac {3}{20}=$
$\frac{17}{60}$
$\frac {5}{8}÷\frac {5}{12}=$
$\frac{3}{2}$
$\frac {3}{4}+\frac {1}{5}=$
$\frac{19}{20}$
$\frac {1}{2}×\frac {1}{10}=$
$\frac{1}{20}$
$\frac {11}{4}×\frac {2}{11}=$
$\frac{1}{2}$
$\frac {4}{9}×\frac {3}{5}=$
$\frac{4}{15}$
$\frac {9}{5}÷\frac {3}{5}=$
3
$\frac {13}{5}-\frac {8}{15}=$
$\frac{31}{15}$
答案
$10 ÷ \frac{4}{9}$
$= 10 × \frac{9}{4}$
$= \frac{90}{4}$
$= \frac{45}{2}$
$\frac{3}{2} + \frac{3}{4}$
$= \frac{6}{4} + \frac{3}{4}$
$= \frac{9}{4}$
$\frac{2}{3} ÷ \frac{1}{2}$
$= \frac{2}{3} × 2$
$= \frac{4}{3}$
$45 × \frac{7}{9}$
$= 5 × 7$
$= 35$
$\frac{12}{7} × \frac{1}{2}$
$= \frac{12}{14}$
$= \frac{6}{7}$
$\frac{2}{7} - \frac{1}{8}$
$= \frac{16}{56} - \frac{7}{56}$
$= \frac{9}{56}$
$\frac{5}{2} ÷ \frac{1}{4}$
$= \frac{5}{2} × 4$
$= 10$
$\frac{3}{4} ÷ \frac{2}{5}$
$= \frac{3}{4} × \frac{5}{2}$
$= \frac{15}{8}$
$12 × \frac{5}{6}$
$= 2 × 5$
$= 10$
$\frac{3}{4} + \frac{3}{20}$
$= \frac{15}{20} + \frac{3}{20}$
$= \frac{18}{20}$
$= \frac{9}{10}$
$\frac{2}{3} ÷ \frac{3}{20}$
$= \frac{2}{3} × \frac{20}{3}$
$= \frac{40}{9}$
$\frac{5}{8} - \frac{3}{5}$
$= \frac{25}{40} - \frac{24}{40}$
$= \frac{1}{40}$
$12 ÷ \frac{3}{4}$
$= 12 × \frac{4}{3}$
$= 16$
$\frac{2}{15} + \frac{3}{20}$
$= \frac{8}{60} + \frac{9}{60}$
$= \frac{17}{60}$
$\frac{5}{8} ÷ \frac{5}{12}$
$= \frac{5}{8} × \frac{12}{5}$
$= \frac{60}{40}$
$= \frac{3}{2}$
$\frac{3}{4} + \frac{1}{5}$
$= \frac{15}{20} + \frac{4}{20}$
$= \frac{19}{20}$
$\frac{1}{2} × \frac{1}{10}$
$= \frac{1}{20}$
$\frac{11}{4} × \frac{2}{11}$
$= \frac{1}{2}$
$\frac{4}{9} × \frac{3}{5}$
$= \frac{4 × 3}{9 × 5}$
$= \frac{4}{15}$
$\frac{9}{5} ÷ \frac{3}{5}$
$= \frac{9}{5} × \frac{5}{3}$
$= 3$
$\frac{13}{5} - \frac{8}{15}$
$= \frac{39}{15} - \frac{8}{15}$
$= \frac{31}{15}$
二、解方程。
$\frac {3}{8}×\frac {1}{6}x= \frac {1}{2}$
$x-\frac {2}{7}x= \frac {3}{4}$
$(\frac {7}{16}-\frac {1}{4})x= \frac {3}{8}$
$x÷\frac {3}{4}×\frac {1}{4}= \frac {1}{6}$
$\frac {1}{5}×\frac {3}{4}x= \frac {3}{10}$
$\frac {11}{5}x-\frac {2}{5}×\frac {5}{4}= 5$
$\frac {3}{8}×\frac {1}{6}x= \frac {1}{2}$
$x-\frac {2}{7}x= \frac {3}{4}$
$(\frac {7}{16}-\frac {1}{4})x= \frac {3}{8}$
$x÷\frac {3}{4}×\frac {1}{4}= \frac {1}{6}$
$\frac {1}{5}×\frac {3}{4}x= \frac {3}{10}$
$\frac {11}{5}x-\frac {2}{5}×\frac {5}{4}= 5$
答案
解析:
这些题目都是解一元一次方程的问题,需要运用到一元一次方程的解法,包括移项、合并同类项、化简等步骤。
答案:
1.
解:$\frac {3}{8}×\frac {1}{6}x= \frac {1}{2}$
$\frac {1}{16}x= \frac {1}{2}$
$x= \frac {1}{2}×16$
$x=8$
2.
解:$x-\frac {2}{7}x= \frac {3}{4}$
$\frac {5}{7}x= \frac {3}{4}$
$x= \frac {3}{4}×\frac {7}{5}$
$x= \frac {21}{20}$
3.
解:$(\frac {7}{16}-\frac {1}{4})x= \frac {3}{8}$
$\frac {3}{16}x= \frac {3}{8}$
$x= \frac {3}{8}×\frac {16}{3}$
$x=2$
4.
解:$x÷\frac {3}{4}×\frac {1}{4}= \frac {1}{6}$
$x×\frac {4}{3}×\frac {1}{4}= \frac {1}{6}$
$\frac {1}{3}x= \frac {1}{6}$
$x= \frac {1}{6}×3$
$x= \frac {1}{2}$
5.
解:$\frac {1}{5}×\frac {3}{4}x= \frac {3}{10}$
$\frac {3}{20}x= \frac {3}{10}$
$x= \frac {3}{10}×\frac {20}{3}$
$x=2$
6.
解:$\frac {11}{5}x-\frac {2}{5}×\frac {5}{4}= 5$
$\frac {11}{5}x-\frac {1}{2}= 5$
$\frac {11}{5}x= 5+\frac {1}{2}$
$\frac {11}{5}x= \frac {11}{2}$
$x= \frac {11}{2}×\frac {5}{11}$
$x= \frac {5}{2}$
这些题目都是解一元一次方程的问题,需要运用到一元一次方程的解法,包括移项、合并同类项、化简等步骤。
答案:
1.
解:$\frac {3}{8}×\frac {1}{6}x= \frac {1}{2}$
$\frac {1}{16}x= \frac {1}{2}$
$x= \frac {1}{2}×16$
$x=8$
2.
解:$x-\frac {2}{7}x= \frac {3}{4}$
$\frac {5}{7}x= \frac {3}{4}$
$x= \frac {3}{4}×\frac {7}{5}$
$x= \frac {21}{20}$
3.
解:$(\frac {7}{16}-\frac {1}{4})x= \frac {3}{8}$
$\frac {3}{16}x= \frac {3}{8}$
$x= \frac {3}{8}×\frac {16}{3}$
$x=2$
4.
解:$x÷\frac {3}{4}×\frac {1}{4}= \frac {1}{6}$
$x×\frac {4}{3}×\frac {1}{4}= \frac {1}{6}$
$\frac {1}{3}x= \frac {1}{6}$
$x= \frac {1}{6}×3$
$x= \frac {1}{2}$
5.
解:$\frac {1}{5}×\frac {3}{4}x= \frac {3}{10}$
$\frac {3}{20}x= \frac {3}{10}$
$x= \frac {3}{10}×\frac {20}{3}$
$x=2$
6.
解:$\frac {11}{5}x-\frac {2}{5}×\frac {5}{4}= 5$
$\frac {11}{5}x-\frac {1}{2}= 5$
$\frac {11}{5}x= 5+\frac {1}{2}$
$\frac {11}{5}x= \frac {11}{2}$
$x= \frac {11}{2}×\frac {5}{11}$
$x= \frac {5}{2}$
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