四、计算下面各题,能用简便算法的就用简便算法。(每题3分,共27分)
$\frac{7}{10}×35×\frac{2}{7}$
$(11-\frac{3}{4})÷\frac{1}{4}$
$\frac{11}{18}×\frac{5}{9}+\frac{5}{9}÷\frac{18}{7}$
$25×0.8÷\frac{5}{6}$
$1÷(\frac{1}{8}+\frac{1}{12})$
$\frac{1}{3}×\frac{3}{4}÷(\frac{3}{4}-\frac{5}{12})$
$(\frac{7}{9}+\frac{13}{18})÷\frac{13}{18}$
$(\frac{4}{9}+\frac{1}{23})×9+\frac{14}{23}$
$\frac{2}{15}÷[1-(\frac{1}{5}+\frac{1}{3})]$
$\frac{7}{10}×35×\frac{2}{7}$
$(11-\frac{3}{4})÷\frac{1}{4}$
$\frac{11}{18}×\frac{5}{9}+\frac{5}{9}÷\frac{18}{7}$
$25×0.8÷\frac{5}{6}$
$1÷(\frac{1}{8}+\frac{1}{12})$
$\frac{1}{3}×\frac{3}{4}÷(\frac{3}{4}-\frac{5}{12})$
$(\frac{7}{9}+\frac{13}{18})÷\frac{13}{18}$
$(\frac{4}{9}+\frac{1}{23})×9+\frac{14}{23}$
$\frac{2}{15}÷[1-(\frac{1}{5}+\frac{1}{3})]$
答案
7
41
$\frac{5}{9}$
24
$\frac{24}{5}$
$\frac{3}{4}$
$\frac{27}{13}$
5
$\frac{2}{7}$
41
$\frac{5}{9}$
24
$\frac{24}{5}$
$\frac{3}{4}$
$\frac{27}{13}$
5
$\frac{2}{7}$
五、看图列式计算。(每题4.5分,共9分)
1.
2.
1.
2.
答案
1. $32×(1+\frac{1}{4})=40$(个)
2. $36÷(1-\frac{7}{9})=162$(km)
2. $36÷(1-\frac{7}{9})=162$(km)
计算:$\frac{2}{5}+\frac{5}{2×3}+\frac{7}{3×4}+\frac{8}{3×5}+\frac{9}{4×5}+\frac{11}{5×6}$。(共5分)
答案
$\frac{2}{5}+\frac{5}{2×3}+\frac{7}{3×4}+\frac{8}{3×5}+\frac{9}{4×5}+\frac{11}{5×6}$
$=\frac{2}{5}+\frac{2+3}{2×3}+\frac{3+4}{3×4}+\frac{3+5}{3×5}+\frac{4+5}{4×5}+\frac{5+6}{5×6}$
$=\frac{2}{5}+\frac{1}{2}+\frac{1}{3}+\frac{1}{3}+\frac{1}{4}+\frac{1}{3}+\frac{1}{5}+\frac{1}{4}+\frac{1}{5}+\frac{1}{5}+\frac{1}{6}$
$=(\frac{1}{3}+\frac{1}{3}+\frac{1}{3})+(\frac{1}{2}+\frac{1}{4}+\frac{1}{4})+(\frac{2}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5})+\frac{1}{6}$
$=1+1+1+\frac{1}{6}$
$=3\frac{1}{6}$
$=\frac{2}{5}+\frac{2+3}{2×3}+\frac{3+4}{3×4}+\frac{3+5}{3×5}+\frac{4+5}{4×5}+\frac{5+6}{5×6}$
$=\frac{2}{5}+\frac{1}{2}+\frac{1}{3}+\frac{1}{3}+\frac{1}{4}+\frac{1}{3}+\frac{1}{5}+\frac{1}{4}+\frac{1}{5}+\frac{1}{5}+\frac{1}{6}$
$=(\frac{1}{3}+\frac{1}{3}+\frac{1}{3})+(\frac{1}{2}+\frac{1}{4}+\frac{1}{4})+(\frac{2}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5})+\frac{1}{6}$
$=1+1+1+\frac{1}{6}$
$=3\frac{1}{6}$
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