1. 直接写出得数。
$8×\frac{3}{4}=$
$\frac{6}{7}÷2=$
$\frac{1}{4}+\frac{1}{5}=$
$0.1^{3}=$
$12÷\frac{3}{4}=$
$\frac{1}{2}-\frac{3}{8}=$
$\frac{3}{10}×\frac{5}{6}=$
$\frac{3}{4}×\frac{1}{3}÷\frac{3}{4}×\frac{1}{3}=$
$8×\frac{3}{4}=$
6
$\frac{6}{7}÷2=$
$\frac{3}{7}$
$\frac{1}{4}+\frac{1}{5}=$
$\frac{9}{20}$
$0.1^{3}=$
0.001
$12÷\frac{3}{4}=$
16
$\frac{1}{2}-\frac{3}{8}=$
$\frac{1}{8}$
$\frac{3}{10}×\frac{5}{6}=$
$\frac{1}{4}$
$\frac{3}{4}×\frac{1}{3}÷\frac{3}{4}×\frac{1}{3}=$
$\frac{1}{9}$
答案
1. $8×\frac{3}{4}=6$
2. $\frac{6}{7}÷2=\frac{3}{7}$
3. $\frac{1}{4}+\frac{1}{5}=\frac{9}{20}$
4. $0.1^{3}=0.001$
5. $12÷\frac{3}{4}=16$
6. $\frac{1}{2}-\frac{3}{8}=\frac{1}{8}$
7. $\frac{3}{10}×\frac{5}{6}=\frac{1}{4}$
8. $\frac{3}{4}×\frac{1}{3}÷\frac{3}{4}×\frac{1}{3}=\frac{1}{9}$
2. $\frac{6}{7}÷2=\frac{3}{7}$
3. $\frac{1}{4}+\frac{1}{5}=\frac{9}{20}$
4. $0.1^{3}=0.001$
5. $12÷\frac{3}{4}=16$
6. $\frac{1}{2}-\frac{3}{8}=\frac{1}{8}$
7. $\frac{3}{10}×\frac{5}{6}=\frac{1}{4}$
8. $\frac{3}{4}×\frac{1}{3}÷\frac{3}{4}×\frac{1}{3}=\frac{1}{9}$
2. 解方程。
$x + 60\%x= 80$
$\frac{1}{2}x-\frac{1}{4}= \frac{3}{8}$
$x + 60\%x= 80$
$\frac{1}{2}x-\frac{1}{4}= \frac{3}{8}$
答案
(1) $x + 60\%x= 80$
解:合并同类项得$1.6x=80$
系数化为$1$得$x=50$
(2)$\frac{1}{2}x-\frac{1}{4}= \frac{3}{8}$
解:移项得$\frac{1}{2}x=\frac{3}{8}+\frac{1}{4}$
合并同类项得$\frac{1}{2}x=\frac{5}{8}$
系数化为$1$得$x=\frac{5}{4}$
解:合并同类项得$1.6x=80$
系数化为$1$得$x=50$
(2)$\frac{1}{2}x-\frac{1}{4}= \frac{3}{8}$
解:移项得$\frac{1}{2}x=\frac{3}{8}+\frac{1}{4}$
合并同类项得$\frac{1}{2}x=\frac{5}{8}$
系数化为$1$得$x=\frac{5}{4}$
3. 下面各题,怎样算简便就怎样算。
$\frac{3}{14}÷\frac{8}{9}+\frac{11}{14}×\frac{9}{8}$
$(\frac{5}{6}-\frac{7}{9})×18$
$\frac{9}{7}-\frac{1}{2}÷\frac{3}{4}-\frac{1}{3}$
$5÷\frac{5}{7}-\frac{5}{7}×\frac{1}{5}$
$\frac{3}{14}÷\frac{8}{9}+\frac{11}{14}×\frac{9}{8}$
$(\frac{5}{6}-\frac{7}{9})×18$
$\frac{9}{7}-\frac{1}{2}÷\frac{3}{4}-\frac{1}{3}$
$5÷\frac{5}{7}-\frac{5}{7}×\frac{1}{5}$
答案
(1) $\frac{3}{14}÷\frac{8}{9}+\frac{11}{14}×\frac{9}{8}$
$=\frac{3}{14}×\frac{9}{8}+\frac{11}{14}×\frac{9}{8}$
$=\frac{9}{8}×(\frac{3}{14}+\frac{11}{14})$
$=\frac{9}{8}×1$
$=\frac{9}{8}$
(2) $(\frac{5}{6}-\frac{7}{9})×18$
$=\frac{5}{6}×18-\frac{7}{9}×18$
$=15-14$
$=1$
(3) $\frac{9}{7}-\frac{1}{2}÷\frac{3}{4}-\frac{1}{3}$
$=\frac{9}{7}-\frac{1}{2}×\frac{4}{3}-\frac{1}{3}$
$=\frac{9}{7}-\frac{2}{3}-\frac{1}{3}$
$=\frac{9}{7}-(\frac{2}{3}+\frac{1}{3})$
$=\frac{9}{7}-1$
$=\frac{2}{7}$
(4) $5÷\frac{5}{7}-\frac{5}{7}×\frac{1}{5}$
$=5×\frac{7}{5}-\frac{5}{7}×\frac{1}{5}$
$=7-\frac{1}{7}$
$=6\frac{6}{7}$
$=\frac{3}{14}×\frac{9}{8}+\frac{11}{14}×\frac{9}{8}$
$=\frac{9}{8}×(\frac{3}{14}+\frac{11}{14})$
$=\frac{9}{8}×1$
$=\frac{9}{8}$
(2) $(\frac{5}{6}-\frac{7}{9})×18$
$=\frac{5}{6}×18-\frac{7}{9}×18$
$=15-14$
$=1$
(3) $\frac{9}{7}-\frac{1}{2}÷\frac{3}{4}-\frac{1}{3}$
$=\frac{9}{7}-\frac{1}{2}×\frac{4}{3}-\frac{1}{3}$
$=\frac{9}{7}-\frac{2}{3}-\frac{1}{3}$
$=\frac{9}{7}-(\frac{2}{3}+\frac{1}{3})$
$=\frac{9}{7}-1$
$=\frac{2}{7}$
(4) $5÷\frac{5}{7}-\frac{5}{7}×\frac{1}{5}$
$=5×\frac{7}{5}-\frac{5}{7}×\frac{1}{5}$
$=7-\frac{1}{7}$
$=6\frac{6}{7}$
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