1. 直接写出得数。
$ \frac{5}{7} × \frac{14}{15} = $
$ \frac{1}{3} - \frac{1}{4} = $
$ \frac{5}{7} × \frac{14}{15} = $
$\frac{2}{3}$
$ 81 ÷ \frac{9}{7} = $63
$ 3.52 + 6.48 = $10
$ 5 × 80\% = $4
$ \frac{1}{3} - \frac{1}{4} = $
$\frac{1}{12}$
$ 0 ÷ \frac{3}{5} = $0
$ 9.9 ÷ 0.1 = $99
$ \frac{5}{9} × 2 ÷ \frac{5}{9} × 2 = $4
答案
$\frac{2}{3}$;63;10;4;$\frac{1}{12}$;0;99;4
2. 解方程。
$ \frac{1}{2}x + \frac{3}{4}x = 1 $ $ x + \frac{x}{6} = 42 $ $ 2x - 7.2 = 3.8 $
$ \frac{1}{2}x + \frac{3}{4}x = 1 $ $ x + \frac{x}{6} = 42 $ $ 2x - 7.2 = 3.8 $
答案
$\frac{1}{2}x + \frac{3}{4}x = 1$
解:$\frac{2}{4}x + \frac{3}{4}x = 1$
$\frac{5}{4}x = 1$
$x = 1 ÷ \frac{5}{4}$
$x = \frac{4}{5}$
$x + \frac{x}{6} = 42$
解:$\frac{6}{6}x + \frac{1}{6}x = 42$
$\frac{7}{6}x = 42$
$x = 42 ÷ \frac{7}{6}$
$x = 36$
$2x - 7.2 = 3.8$
解:$2x = 3.8 + 7.2$
$2x = 11$
$x = 11 ÷ 2$
$x = 5.5$
解:$\frac{2}{4}x + \frac{3}{4}x = 1$
$\frac{5}{4}x = 1$
$x = 1 ÷ \frac{5}{4}$
$x = \frac{4}{5}$
$x + \frac{x}{6} = 42$
解:$\frac{6}{6}x + \frac{1}{6}x = 42$
$\frac{7}{6}x = 42$
$x = 42 ÷ \frac{7}{6}$
$x = 36$
$2x - 7.2 = 3.8$
解:$2x = 3.8 + 7.2$
$2x = 11$
$x = 11 ÷ 2$
$x = 5.5$
3. 用递等式计算。
$ \frac{9}{20} - \frac{9}{20} ÷ 9 $ $ \frac{7}{12} × \frac{3}{7} ÷ \frac{5}{6} $ $ 4 × \frac{4}{7} - \frac{3}{7} $
$ \frac{1}{5} ÷ (\frac{2}{3} + \frac{1}{5}) $ $ \frac{3}{4} × \frac{2}{7} + \frac{2}{7} × \frac{1}{4} $ $ (\frac{7}{18} - \frac{5}{27}) × 54 $
$ \frac{9}{20} - \frac{9}{20} ÷ 9 $ $ \frac{7}{12} × \frac{3}{7} ÷ \frac{5}{6} $ $ 4 × \frac{4}{7} - \frac{3}{7} $
$ \frac{1}{5} ÷ (\frac{2}{3} + \frac{1}{5}) $ $ \frac{3}{4} × \frac{2}{7} + \frac{2}{7} × \frac{1}{4} $ $ (\frac{7}{18} - \frac{5}{27}) × 54 $
答案
$\frac{9}{20}-\frac{9}{20}÷9$
$=\frac{9}{20}-\frac{9}{20}×\frac{1}{9}$
$=\frac{9}{20}-\frac{1}{20}$
$=\frac{8}{20}$
$=\frac{2}{5}$
$\frac{7}{12}×\frac{3}{7}÷\frac{5}{6}$
$=\frac{1}{4}÷\frac{5}{6}$
$=\frac{1}{4}×\frac{6}{5}$
$=\frac{6}{20}$
$=\frac{3}{10}$
$4×\frac{4}{7}-\frac{3}{7}$
$=\frac{16}{7}-\frac{3}{7}$
$=\frac{13}{7}$
$\frac{1}{5}÷(\frac{2}{3}+\frac{1}{5})$
$=\frac{1}{5}÷(\frac{10}{15}+\frac{3}{15})$
$=\frac{1}{5}÷\frac{13}{15}$
$=\frac{1}{5}×\frac{15}{13}$
$=\frac{3}{13}$
$\frac{3}{4}×\frac{2}{7}+\frac{2}{7}×\frac{1}{4}$
$=\frac{2}{7}×(\frac{3}{4}+\frac{1}{4})$
$=\frac{2}{7}×1$
$=\frac{2}{7}$
$(\frac{7}{18}-\frac{5}{27})×54$
$=\frac{7}{18}×54-\frac{5}{27}×54$
$=21 - 10$
$=11$
$=\frac{9}{20}-\frac{9}{20}×\frac{1}{9}$
$=\frac{9}{20}-\frac{1}{20}$
$=\frac{8}{20}$
$=\frac{2}{5}$
$\frac{7}{12}×\frac{3}{7}÷\frac{5}{6}$
$=\frac{1}{4}÷\frac{5}{6}$
$=\frac{1}{4}×\frac{6}{5}$
$=\frac{6}{20}$
$=\frac{3}{10}$
$4×\frac{4}{7}-\frac{3}{7}$
$=\frac{16}{7}-\frac{3}{7}$
$=\frac{13}{7}$
$\frac{1}{5}÷(\frac{2}{3}+\frac{1}{5})$
$=\frac{1}{5}÷(\frac{10}{15}+\frac{3}{15})$
$=\frac{1}{5}÷\frac{13}{15}$
$=\frac{1}{5}×\frac{15}{13}$
$=\frac{3}{13}$
$\frac{3}{4}×\frac{2}{7}+\frac{2}{7}×\frac{1}{4}$
$=\frac{2}{7}×(\frac{3}{4}+\frac{1}{4})$
$=\frac{2}{7}×1$
$=\frac{2}{7}$
$(\frac{7}{18}-\frac{5}{27})×54$
$=\frac{7}{18}×54-\frac{5}{27}×54$
$=21 - 10$
$=11$
4. 一种电视机原价8500元,现在促销价是6800元。现价是原价的百分之几?原价比现价高百分之几?
答案
6800÷8500=0.8=80%
(8500-6800)÷6800=1700÷6800=0.25=25%
答:现价是原价的80%,原价比现价高25%。
(8500-6800)÷6800=1700÷6800=0.25=25%
答:现价是原价的80%,原价比现价高25%。
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