3. 解方程。
$x + 45\%x = 14.5$
$1 + 45\%x = 14.5$
$2x - 96\%x = 0.26$
$3x + 90\%×4 = 9$
$x + 45\%x = 14.5$
$1 + 45\%x = 14.5$
$2x - 96\%x = 0.26$
$3x + 90\%×4 = 9$
答案: 解:1.45x=14.5
x=14.5÷1.45
x=10
解:0.45x=14.5-1
x=13.5÷0.45
x=30
解:1.04x=0.26
x=0.26÷1.04
x=0.25
解:3x=9-3.6
x=5.4÷3
x=1.8
x=14.5÷1.45
x=10
解:0.45x=14.5-1
x=13.5÷0.45
x=30
解:1.04x=0.26
x=0.26÷1.04
x=0.25
解:3x=9-3.6
x=5.4÷3
x=1.8
解析:
解:$x + 45\%x = 14.5$
$1.45x = 14.5$
$x = 10$
解:$1 + 45\%x = 14.5$
$0.45x = 13.5$
$x = 30$
解:$2x - 96\%x = 0.26$
$1.04x = 0.26$
$x = 0.25$
解:$3x + 90\%×4 = 9$
$3x + 3.6 = 9$
$3x = 5.4$
$x = 1.8$
$1.45x = 14.5$
$x = 10$
解:$1 + 45\%x = 14.5$
$0.45x = 13.5$
$x = 30$
解:$2x - 96\%x = 0.26$
$1.04x = 0.26$
$x = 0.25$
解:$3x + 90\%×4 = 9$
$3x + 3.6 = 9$
$3x = 5.4$
$x = 1.8$
4. 计算下面各题。
$7÷\frac{7}{9}+\frac{7}{9}÷7$
$24÷(1 - 60\%)÷\frac{5}{8}$
$\frac{2}{7}×20\%+\frac{5}{7}×\frac{1}{5}$
$\frac{8}{9}÷[(\frac{1}{2}+\frac{1}{6})÷\frac{3}{4}]$
$\frac{8}{17}÷23+\frac{1}{23}×\frac{9}{17}$
$\frac{3}{4}÷[56×(\frac{3}{7}-\frac{3}{8})]$
$(\frac{5}{8}+\frac{1}{27})×8+\frac{19}{27}$
$35÷\frac{7}{8}×1-\frac{2}{7}$
$7÷\frac{7}{9}+\frac{7}{9}÷7$
$24÷(1 - 60\%)÷\frac{5}{8}$
$\frac{2}{7}×20\%+\frac{5}{7}×\frac{1}{5}$
$\frac{8}{9}÷[(\frac{1}{2}+\frac{1}{6})÷\frac{3}{4}]$
$\frac{8}{17}÷23+\frac{1}{23}×\frac{9}{17}$
$\frac{3}{4}÷[56×(\frac{3}{7}-\frac{3}{8})]$
$(\frac{5}{8}+\frac{1}{27})×8+\frac{19}{27}$
$35÷\frac{7}{8}×1-\frac{2}{7}$
答案:$ =7×\frac 97+\frac 79×\frac 17$
$ =9+\frac 19$
$ =9\frac 19$
$ =24÷0.4×\frac 85$
$ =60×\frac 85$
=96
$ =\frac 27×\frac 15+\frac 57×\frac 15$
$ =(\frac 27+\frac 57)×\frac 15$
$ =\frac 15$
$ =\frac 89÷[\frac 23×\frac 43]$
$ =\frac 89÷\frac 89$
=1
$ =\frac 8{17}×\frac 1{23}+\frac 1{23}×\frac 9{17}$
$ =(\frac 8{17}+\frac 9{17})×\frac 1{23}$
$ =\frac 1{23}$
$ =\frac 34÷[56×\frac 37-56×\frac 38]$
$ =\frac 34÷[24-21]$
$ =\frac 34÷3$
$ =\frac 14$
$ =\frac 58×8+8×\frac 1{27}+\frac {19}{27}$
$ =5+\frac 8{27}+\frac {19}{27}$
=6
$ =35×\frac 87×1-\frac 27$
$ =40-\frac 27$
$ =39\frac 57$
$ =9+\frac 19$
$ =9\frac 19$
$ =24÷0.4×\frac 85$
$ =60×\frac 85$
=96
$ =\frac 27×\frac 15+\frac 57×\frac 15$
$ =(\frac 27+\frac 57)×\frac 15$
$ =\frac 15$
$ =\frac 89÷[\frac 23×\frac 43]$
$ =\frac 89÷\frac 89$
=1
$ =\frac 8{17}×\frac 1{23}+\frac 1{23}×\frac 9{17}$
$ =(\frac 8{17}+\frac 9{17})×\frac 1{23}$
$ =\frac 1{23}$
$ =\frac 34÷[56×\frac 37-56×\frac 38]$
$ =\frac 34÷[24-21]$
$ =\frac 34÷3$
$ =\frac 14$
$ =\frac 58×8+8×\frac 1{27}+\frac {19}{27}$
$ =5+\frac 8{27}+\frac {19}{27}$
=6
$ =35×\frac 87×1-\frac 27$
$ =40-\frac 27$
$ =39\frac 57$
解析:
$7÷\frac{7}{9}+\frac{7}{9}÷7$
$=7×\frac{9}{7}+\frac{7}{9}×\frac{1}{7}$
$=9+\frac{1}{9}$
$=9\frac{1}{9}$
$24÷(1 - 60\%)÷\frac{5}{8}$
$=24÷0.4÷\frac{5}{8}$
$=60×\frac{8}{5}$
$=96$
$\frac{2}{7}×20\%+\frac{5}{7}×\frac{1}{5}$
$=\frac{2}{7}×\frac{1}{5}+\frac{5}{7}×\frac{1}{5}$
$=(\frac{2}{7}+\frac{5}{7})×\frac{1}{5}$
$=1×\frac{1}{5}$
$=\frac{1}{5}$
$\frac{8}{9}÷[(\frac{1}{2}+\frac{1}{6})÷\frac{3}{4}]$
$=\frac{8}{9}÷[(\frac{3}{6}+\frac{1}{6})×\frac{4}{3}]$
$=\frac{8}{9}÷[\frac{4}{6}×\frac{4}{3}]$
$=\frac{8}{9}÷[\frac{2}{3}×\frac{4}{3}]$
$=\frac{8}{9}÷\frac{8}{9}$
$=1$
$\frac{8}{17}÷23+\frac{1}{23}×\frac{9}{17}$
$=\frac{8}{17}×\frac{1}{23}+\frac{1}{23}×\frac{9}{17}$
$=(\frac{8}{17}+\frac{9}{17})×\frac{1}{23}$
$=1×\frac{1}{23}$
$=\frac{1}{23}$
$\frac{3}{4}÷[56×(\frac{3}{7}-\frac{3}{8})]$
$=\frac{3}{4}÷[56×\frac{3}{7}-56×\frac{3}{8}]$
$=\frac{3}{4}÷[24 - 21]$
$=\frac{3}{4}÷3$
$=\frac{3}{4}×\frac{1}{3}$
$=\frac{1}{4}$
$(\frac{5}{8}+\frac{1}{27})×8+\frac{19}{27}$
$=\frac{5}{8}×8+\frac{1}{27}×8+\frac{19}{27}$
$=5+\frac{8}{27}+\frac{19}{27}$
$=5 + 1$
$=6$
$35÷\frac{7}{8}×1-\frac{2}{7}$
$=35×\frac{8}{7}-\frac{2}{7}$
$=40 - \frac{2}{7}$
$=39\frac{5}{7}$
$=7×\frac{9}{7}+\frac{7}{9}×\frac{1}{7}$
$=9+\frac{1}{9}$
$=9\frac{1}{9}$
$24÷(1 - 60\%)÷\frac{5}{8}$
$=24÷0.4÷\frac{5}{8}$
$=60×\frac{8}{5}$
$=96$
$\frac{2}{7}×20\%+\frac{5}{7}×\frac{1}{5}$
$=\frac{2}{7}×\frac{1}{5}+\frac{5}{7}×\frac{1}{5}$
$=(\frac{2}{7}+\frac{5}{7})×\frac{1}{5}$
$=1×\frac{1}{5}$
$=\frac{1}{5}$
$\frac{8}{9}÷[(\frac{1}{2}+\frac{1}{6})÷\frac{3}{4}]$
$=\frac{8}{9}÷[(\frac{3}{6}+\frac{1}{6})×\frac{4}{3}]$
$=\frac{8}{9}÷[\frac{4}{6}×\frac{4}{3}]$
$=\frac{8}{9}÷[\frac{2}{3}×\frac{4}{3}]$
$=\frac{8}{9}÷\frac{8}{9}$
$=1$
$\frac{8}{17}÷23+\frac{1}{23}×\frac{9}{17}$
$=\frac{8}{17}×\frac{1}{23}+\frac{1}{23}×\frac{9}{17}$
$=(\frac{8}{17}+\frac{9}{17})×\frac{1}{23}$
$=1×\frac{1}{23}$
$=\frac{1}{23}$
$\frac{3}{4}÷[56×(\frac{3}{7}-\frac{3}{8})]$
$=\frac{3}{4}÷[56×\frac{3}{7}-56×\frac{3}{8}]$
$=\frac{3}{4}÷[24 - 21]$
$=\frac{3}{4}÷3$
$=\frac{3}{4}×\frac{1}{3}$
$=\frac{1}{4}$
$(\frac{5}{8}+\frac{1}{27})×8+\frac{19}{27}$
$=\frac{5}{8}×8+\frac{1}{27}×8+\frac{19}{27}$
$=5+\frac{8}{27}+\frac{19}{27}$
$=5 + 1$
$=6$
$35÷\frac{7}{8}×1-\frac{2}{7}$
$=35×\frac{8}{7}-\frac{2}{7}$
$=40 - \frac{2}{7}$
$=39\frac{5}{7}$