1. 解方程或比例。
$0.2x - 2\frac{1}{4}×4 = 1.5$ $\frac{3}{5}x + 2.4x = 6$
$1.2 : x = 50\% : \frac{5}{6}$ $2.5x : 0.6 = 3.6 : 0.6$
$0.2x - 2\frac{1}{4}×4 = 1.5$ $\frac{3}{5}x + 2.4x = 6$
$1.2 : x = 50\% : \frac{5}{6}$ $2.5x : 0.6 = 3.6 : 0.6$
答案
第一个方程:
解:$0.2x - 2\frac{1}{4}×4 = 1.5$
$0.2x - 9 = 1.5$
$0.2x = 1.5 + 9$
$0.2x = 10.5$
$x = 10.5 ÷ 0.2$
$x = 52.5$
第二个方程:
解:$\frac{3}{5}x + 2.4x = 6$
$0.6x + 2.4x = 6$
$3x = 6$
$x = 6 ÷ 3$
$x = 2$
第三个比例:
解:$1.2 : x = 50\% : \frac{5}{6}$
$50\%x = 1.2 × \frac{5}{6}$
$0.5x = 1$
$x = 1 ÷ 0.5$
$x = 2$
第四个比例:
解:$2.5x : 0.6 = 3.6 : 0.6$
$2.5x × 0.6 = 0.6 × 3.6$
$2.5x = 3.6$
$x = 3.6 ÷ 2.5$
$x = 1.44$
解:$0.2x - 2\frac{1}{4}×4 = 1.5$
$0.2x - 9 = 1.5$
$0.2x = 1.5 + 9$
$0.2x = 10.5$
$x = 10.5 ÷ 0.2$
$x = 52.5$
第二个方程:
解:$\frac{3}{5}x + 2.4x = 6$
$0.6x + 2.4x = 6$
$3x = 6$
$x = 6 ÷ 3$
$x = 2$
第三个比例:
解:$1.2 : x = 50\% : \frac{5}{6}$
$50\%x = 1.2 × \frac{5}{6}$
$0.5x = 1$
$x = 1 ÷ 0.5$
$x = 2$
第四个比例:
解:$2.5x : 0.6 = 3.6 : 0.6$
$2.5x × 0.6 = 0.6 × 3.6$
$2.5x = 3.6$
$x = 3.6 ÷ 2.5$
$x = 1.44$
2. 脱式计算。(能简算的要简算)
$\frac{7}{12}÷\frac{1}{9}÷9$ $\frac{11}{9}×3.8 - 3.8×\frac{2}{9}$
$45÷0.8÷1.25$ $\frac{3}{5} + \frac{1}{2}×\frac{4}{5}$
$(\frac{1}{3} - \frac{1}{5})×45$ $6.4 - 1.7 - 3.3$
$\frac{7}{3}×12.5×\frac{6}{7}×8$ $(\frac{4}{9} + \frac{5}{12} - \frac{7}{18})×36$
$\frac{7}{12}÷\frac{1}{9}÷9$ $\frac{11}{9}×3.8 - 3.8×\frac{2}{9}$
$45÷0.8÷1.25$ $\frac{3}{5} + \frac{1}{2}×\frac{4}{5}$
$(\frac{1}{3} - \frac{1}{5})×45$ $6.4 - 1.7 - 3.3$
$\frac{7}{3}×12.5×\frac{6}{7}×8$ $(\frac{4}{9} + \frac{5}{12} - \frac{7}{18})×36$
答案
$\frac{7}{12}÷\frac{1}{9}÷9$
$=\frac{7}{12}÷(\frac{1}{9}×9)$
$=\frac{7}{12}÷1$
$=\frac{7}{12}$
$\frac{11}{9}×3.8 - 3.8×\frac{2}{9}$
$=3.8×(\frac{11}{9}-\frac{2}{9})$
$=3.8×1$
$=3.8$
$45÷0.8÷1.25$
$=45÷(0.8×1.25)$
$=45÷1$
$=45$
$\frac{3}{5} + \frac{1}{2}×\frac{4}{5}$
$=\frac{3}{5}+\frac{2}{5}$
$=1$
$(\frac{1}{3} - \frac{1}{5})×45$
$=\frac{1}{3}×45 - \frac{1}{5}×45$
$=15 - 9$
$=6$
$6.4 - 1.7 - 3.3$
$=6.4-(1.7+3.3)$
$=6.4-5$
$=1.4$
$\frac{7}{3}×12.5×\frac{6}{7}×8$
$=(\frac{7}{3}×\frac{6}{7})×(12.5×8)$
$=2×100$
$=200$
$(\frac{4}{9} + \frac{5}{12} - \frac{7}{18})×36$
$=\frac{4}{9}×36 + \frac{5}{12}×36 - \frac{7}{18}×36$
$=16 + 15 - 14$
$=17$
$=\frac{7}{12}÷(\frac{1}{9}×9)$
$=\frac{7}{12}÷1$
$=\frac{7}{12}$
$\frac{11}{9}×3.8 - 3.8×\frac{2}{9}$
$=3.8×(\frac{11}{9}-\frac{2}{9})$
$=3.8×1$
$=3.8$
$45÷0.8÷1.25$
$=45÷(0.8×1.25)$
$=45÷1$
$=45$
$\frac{3}{5} + \frac{1}{2}×\frac{4}{5}$
$=\frac{3}{5}+\frac{2}{5}$
$=1$
$(\frac{1}{3} - \frac{1}{5})×45$
$=\frac{1}{3}×45 - \frac{1}{5}×45$
$=15 - 9$
$=6$
$6.4 - 1.7 - 3.3$
$=6.4-(1.7+3.3)$
$=6.4-5$
$=1.4$
$\frac{7}{3}×12.5×\frac{6}{7}×8$
$=(\frac{7}{3}×\frac{6}{7})×(12.5×8)$
$=2×100$
$=200$
$(\frac{4}{9} + \frac{5}{12} - \frac{7}{18})×36$
$=\frac{4}{9}×36 + \frac{5}{12}×36 - \frac{7}{18}×36$
$=16 + 15 - 14$
$=17$
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