1.涂一涂,填一填。
(1)如下图,涂出$3\ \mathrm{m}^2$的$\frac{1}{6}$,涂色部分是多少平方米?

$(\ )×\frac{(\ )}{(\ )}=\frac{(\ )×(\ )}{(\ )}=\frac{(\ )}{(\ )}=\frac{(\ )}{(\ )}$
(2)右面这个长方形的面积是$1\ \mathrm{m}^2$,先涂出$\frac{2}{3}\ \mathrm{m}^2$,再涂出$\frac{2}{3}\ \mathrm{m}^2$的$\frac{4}{5}$,涂色部分的面积是多少平方米?

$\frac{(\ )}{(\ )}×\frac{(\ )}{(\ )}=\frac{(\ )×(\ )}{(\ )×(\ )}=\frac{(\ )}{(\ )}$
(1)如下图,涂出$3\ \mathrm{m}^2$的$\frac{1}{6}$,涂色部分是多少平方米?
$(\ )×\frac{(\ )}{(\ )}=\frac{(\ )×(\ )}{(\ )}=\frac{(\ )}{(\ )}=\frac{(\ )}{(\ )}$
(2)右面这个长方形的面积是$1\ \mathrm{m}^2$,先涂出$\frac{2}{3}\ \mathrm{m}^2$,再涂出$\frac{2}{3}\ \mathrm{m}^2$的$\frac{4}{5}$,涂色部分的面积是多少平方米?
$\frac{(\ )}{(\ )}×\frac{(\ )}{(\ )}=\frac{(\ )×(\ )}{(\ )×(\ )}=\frac{(\ )}{(\ )}$
答案
1.(1) 涂法不唯一,参考
1.(2) 涂法不唯一,参考
2.计算下面各题。
$2×\frac{1}{3}=$
$\frac{3}{4}×\frac{7}{12}=$
$\frac{7}{8}×\frac{4}{21}=$
$39×\frac{5}{13}=$
$\frac{10}{21}×\frac{3}{5}=$
$56×\frac{7}{8}=$
$15×\frac{5}{6}=$
$\frac{42}{55}×\frac{11}{35}=$
$2×\frac{1}{3}=$
$\frac{3}{4}×\frac{7}{12}=$
$\frac{7}{8}×\frac{4}{21}=$
$39×\frac{5}{13}=$
$\frac{10}{21}×\frac{3}{5}=$
$56×\frac{7}{8}=$
$15×\frac{5}{6}=$
$\frac{42}{55}×\frac{11}{35}=$
答案
$\frac{2}{3}$ $\frac{7}{16}$ $\frac{1}{6}$ 15 $\frac{2}{7}$ 49 $\frac{25}{2}$ $\frac{6}{25}$
3.下面各题算得对吗?正确的画“√”,错误的画“×”,并改正。
(1)$15×\frac{3}{13}=15×\frac{3}{13}=\frac{5}{13}$(
(2)$\frac{9}{14}×\frac{4}{9}=\frac{9}{14}×\frac{4}{9}=\frac{3}{8}$(
(1)$15×\frac{3}{13}=15×\frac{3}{13}=\frac{5}{13}$(
×
)(2)$\frac{9}{14}×\frac{4}{9}=\frac{9}{14}×\frac{4}{9}=\frac{3}{8}$(
×
)答案
3.(1) × 改正:$15×\frac{3}{13}=\frac{15×3}{13}=\frac{45}{13}$
3.(2) × 改正:$\frac{9}{14}×\frac{4}{9}=\frac{\overset{1}{\cancel{9}}}{14}×\frac{\overset{2}{\cancel{4}}}{\underset{1}{\cancel{9}}}=\frac{2}{7}$
3.(2) × 改正:$\frac{9}{14}×\frac{4}{9}=\frac{\overset{1}{\cancel{9}}}{14}×\frac{\overset{2}{\cancel{4}}}{\underset{1}{\cancel{9}}}=\frac{2}{7}$
4.在$◯$里填上“>”“<”或“=”。
$\frac{9}{16}×4 ◯ \frac{9}{16}$
$\frac{9}{16}×1 ◯ \frac{9}{16}$
$\frac{9}{16}×\frac{2}{3} ◯ \frac{9}{16}$
$\frac{10}{9}×\frac{4}{3} ◯ \frac{10}{9}$
$\frac{10}{9}×1 ◯ \frac{10}{9}$
$\frac{10}{9}×\frac{3}{5} ◯ \frac{10}{9}$
$\frac{9}{16}×4 ◯ \frac{9}{16}$
$\frac{9}{16}×1 ◯ \frac{9}{16}$
$\frac{9}{16}×\frac{2}{3} ◯ \frac{9}{16}$
$\frac{10}{9}×\frac{4}{3} ◯ \frac{10}{9}$
$\frac{10}{9}×1 ◯ \frac{10}{9}$
$\frac{10}{9}×\frac{3}{5} ◯ \frac{10}{9}$
答案
> = < > = <
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