① 计算下面各题。
$\frac{27}{50} × 2 = \frac{27}{25}$
$\frac{11}{28} × \frac{8}{33} = \frac{2}{21}$
$\frac{20}{39} × 7.8 = 4$
$\frac{7}{18} × 0.36 = 0.14$
$\frac{9}{16} × 0.3 = \frac{27}{160}$
$\frac{5}{54} × 6.75 = \frac{5}{8}$
$\frac{27}{50} × 2 = \frac{27}{25}$
$\frac{11}{28} × \frac{8}{33} = \frac{2}{21}$
$\frac{20}{39} × 7.8 = 4$
$\frac{7}{18} × 0.36 = 0.14$
$\frac{9}{16} × 0.3 = \frac{27}{160}$
$\frac{5}{54} × 6.75 = \frac{5}{8}$
答案:
② 鸵鸟是目前世界上最大的鸟。一只鸵鸟的身高是2.5 m,一只成年帝企鹅的身高是鸵鸟的$\frac{12}{25}$。这只成年帝企鹅的身高是多少米?
$2.5×\frac{12}{25}=1.2$(m) 答:这只成年帝企鹅的身高是1.2 m。
$2.5×\frac{12}{25}=1.2$(m) 答:这只成年帝企鹅的身高是1.2 m。
答案:
③ 计算下面各题。
$\frac{1}{3}×\frac{3}{5}+1=\frac{6}{5}$
$\frac{5}{7}-\frac{5}{9}×\frac{5}{7}=\frac{20}{63}$
$1-\frac{15}{28}×\frac{21}{25}=\frac{11}{20}$
$\frac{1}{2}+\frac{5}{4}×\frac{4}{5}=\frac{3}{2}$
$\frac{1}{6}×(5-\frac{2}{3})=\frac{13}{18}$
$\frac{7}{8}×7+\frac{3}{8}=\frac{13}{2}$
运算顺序错误,先算了减法。
$\frac{1}{3}×\frac{3}{5}+1=\frac{6}{5}$
$\frac{5}{7}-\frac{5}{9}×\frac{5}{7}=\frac{20}{63}$
$1-\frac{15}{28}×\frac{21}{25}=\frac{11}{20}$
$\frac{1}{2}+\frac{5}{4}×\frac{4}{5}=\frac{3}{2}$
$\frac{1}{6}×(5-\frac{2}{3})=\frac{13}{18}$
$\frac{7}{8}×7+\frac{3}{8}=\frac{13}{2}$
运算顺序错误,先算了减法。
答案:
4 下面各题算得对吗?把不对的改正过来。
括号里的数都要乘6,$\frac{3}{4}$漏乘了6。
$5 - 3 × \frac{7}{9} = 2 × \frac{7}{9} = \frac{14}{9}$
不对。改正:$5 - 3 × \frac{7}{9} = 5 - \frac{7}{3} = \frac{8}{3}$
$( \frac{1}{6} + \frac{3}{4} ) × 6 = 1 + \frac{3}{4} = \frac{7}{4}$
不对。改正:$( \frac{1}{6} + \frac{3}{4} ) × 6 = 1 + \frac{9}{2} = \frac{11}{2}$
括号里的数都要乘6,$\frac{3}{4}$漏乘了6。
$5 - 3 × \frac{7}{9} = 2 × \frac{7}{9} = \frac{14}{9}$
不对。改正:$5 - 3 × \frac{7}{9} = 5 - \frac{7}{3} = \frac{8}{3}$
$( \frac{1}{6} + \frac{3}{4} ) × 6 = 1 + \frac{3}{4} = \frac{7}{4}$
不对。改正:$( \frac{1}{6} + \frac{3}{4} ) × 6 = 1 + \frac{9}{2} = \frac{11}{2}$
答案:
5 用运算律进行简便计算。
$\frac{2}{9} - \frac{7}{16} × \frac{2}{9} = \frac{1}{8}$
$\frac{2}{27} × 4 × \frac{3}{4} = \frac{2}{9}$
$\frac{5}{7} × 16 × \frac{42}{25} = \frac{96}{5}$
$\frac{1}{2} × \frac{1}{15} + \frac{1}{3} × \frac{1}{2} = \frac{1}{5}$
$\frac{4}{5} × \frac{7}{9} × \frac{15}{8} = \frac{7}{6}$
$\frac{5}{6} × \frac{5}{9} + \frac{5}{9} × \frac{1}{6} = \frac{5}{9}$
$\frac{2}{9} - \frac{7}{16} × \frac{2}{9} = \frac{1}{8}$
$\frac{2}{27} × 4 × \frac{3}{4} = \frac{2}{9}$
$\frac{5}{7} × 16 × \frac{42}{25} = \frac{96}{5}$
$\frac{1}{2} × \frac{1}{15} + \frac{1}{3} × \frac{1}{2} = \frac{1}{5}$
$\frac{4}{5} × \frac{7}{9} × \frac{15}{8} = \frac{7}{6}$
$\frac{5}{6} × \frac{5}{9} + \frac{5}{9} × \frac{1}{6} = \frac{5}{9}$
答案:
6 计算下面各题,能用简便算法的就用简便算法。
$\frac{11}{24}×16=\frac{22}{3}$
$\frac{1}{4}×\frac{2}{7}=\frac{1}{14}$
$\frac{7}{12}×6+\frac{17}{12}×6=12$
$\frac{3}{5}×\frac{55}{6}=\frac{11}{2}$
$\frac{4}{9}×5×18=40$
$(14+\frac{7}{2})×\frac{1}{14}=\frac{5}{4}$
$\frac{11}{24}×16=\frac{22}{3}$
$\frac{1}{4}×\frac{2}{7}=\frac{1}{14}$
$\frac{7}{12}×6+\frac{17}{12}×6=12$
$\frac{3}{5}×\frac{55}{6}=\frac{11}{2}$
$\frac{4}{9}×5×18=40$
$(14+\frac{7}{2})×\frac{1}{14}=\frac{5}{4}$
答案: