1. 直接写出得数。(6 分)
207+198= 2.38÷0.1= 1.2+8=
2-2%= 86+224= $\frac{6}{7}×21=$
$1÷\frac{9}{2}×\frac{2}{9}=$ 10-7.3= 2.5+4.55=
24%×5= $\frac{2}{5}×\frac{4}{3}÷\frac{2}{5}×\frac{4}{3}=$ $5÷\frac{5}{7}-\frac{5}{7}÷5=$
答案:1. 405 23.8 9.2 1.98 310 18 $\frac{4}{81}$
2.7 7.05 1.2 $\frac{16}{9}$ 6$\frac{6}{7}$(或$\frac{48}{7}$)
2. 计算下面各题,能简算的要简算。(12 分)
$\frac{43}{44}×45$ 190-60÷25×4 3.82-1.54+1.18-2.46
$(\frac{11}{12}-\frac{3}{4}+\frac{1}{6})÷\frac{1}{24}$ $\frac{5}{21}×[\frac{7}{9}÷(\frac{4}{9}+\frac{1}{6})]$ $77×\frac{5}{8}+22×62.5\%+0.625$
答案:2. 43$\frac{43}{44}$ 180.4 1 8$\frac{10}{33}$ 62.5
解析:
$\frac{43}{44}×45$
$=\frac{43}{44}×(44 + 1)$
$=\frac{43}{44}×44+\frac{43}{44}×1$
$=43+\frac{43}{44}$
$=43\frac{43}{44}$
$190 - 60÷25×4$
$=190 - 2.4×4$
$=190 - 9.6$
$=180.4$
$3.82 - 1.54 + 1.18 - 2.46$
$=(3.82 + 1.18)-(1.54 + 2.46)$
$=5 - 4$
$=1$
$(\frac{11}{12}-\frac{3}{4}+\frac{1}{6})÷\frac{1}{24}$
$=(\frac{11}{12}-\frac{3}{4}+\frac{1}{6})×24$
$=\frac{11}{12}×24-\frac{3}{4}×24+\frac{1}{6}×24$
$=22 - 18 + 4$
$=8$
$\frac{5}{21}×[\frac{7}{9}÷(\frac{4}{9}+\frac{1}{6})]$
$=\frac{5}{21}×[\frac{7}{9}÷(\frac{8}{18}+\frac{3}{18})]$
$=\frac{5}{21}×(\frac{7}{9}÷\frac{11}{18})$
$=\frac{5}{21}×(\frac{7}{9}×\frac{18}{11})$
$=\frac{5}{21}×\frac{14}{11}$
$=\frac{10}{33}$
$77×\frac{5}{8}+22×62.5\% + 0.625$
$=77×0.625 + 22×0.625 + 1×0.625$
$=(77 + 22 + 1)×0.625$
$=100×0.625$
$=62.5$
3. 解方程或解比例。(6 分)
$\frac{1}{4}x-2=\frac{2}{3}$ $\frac{0.4}{x}=\frac{3}{4}:\frac{5}{6}$ $\frac{2}{3}x+40\%x=\frac{8}{15}$
答案:3. x=$\frac{32}{3}$ x=$\frac{4}{9}$ x=$\frac{1}{2}$
解析:
$\frac{1}{4}x-2=\frac{2}{3}$
解:$\frac{1}{4}x=\frac{2}{3}+2$
$\frac{1}{4}x=\frac{8}{3}$
$x=\frac{8}{3}÷\frac{1}{4}$
$x=\frac{32}{3}$
$\frac{0.4}{x}=\frac{3}{4}:\frac{5}{6}$
解:$\frac{3}{4}x=0.4×\frac{5}{6}$
$\frac{3}{4}x=\frac{1}{3}$
$x=\frac{1}{3}÷\frac{3}{4}$
$x=\frac{4}{9}$
$\frac{2}{3}x+40\%x=\frac{8}{15}$
解:$\frac{2}{3}x+\frac{2}{5}x=\frac{8}{15}$
$\frac{16}{15}x=\frac{8}{15}$
$x=\frac{8}{15}÷\frac{16}{15}$
$x=\frac{1}{2}$