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1. 直接写得数。(6分)
$\frac{5}{9}×27=$
$\frac{5}{6}÷\frac{1}{3}=$
$12÷\frac{3}{5}=$
$\frac{5}{9}×27=$
15
$\frac{1}{10}×2=$$\frac{1}{5}$
$18÷\frac{2}{3}=$27
$\frac{7}{8}-\frac{1}{2}=$$\frac{3}{8}$
$\frac{5}{6}÷\frac{1}{3}=$
$\frac{5}{2}$
$\frac{1}{4}×\frac{4}{5}=$$\frac{1}{5}$
$\frac{1}{9}×\frac{3}{7}=$$\frac{1}{21}$
$\frac{1}{2}÷3=$$\frac{1}{6}$
$12÷\frac{3}{5}=$
20
$\frac{3}{5}×\frac{5}{6}=$$\frac{1}{2}$
$2.4×\frac{1}{8}=$0.3
$\frac{5}{6}÷5=$$\frac{1}{6}$
答案
15；$\frac{1}{5}$；27；$\frac{3}{8}$；$\frac{5}{2}$；$\frac{1}{5}$；$\frac{1}{21}$；$\frac{1}{6}$；20；$\frac{1}{2}$；0.3；$\frac{1}{6}$
2. 计算下面各题,怎样简便就怎样算。(15分)
$\frac{7}{10}×\frac{1}{6}+\frac{3}{10}÷6$ $66×\frac{7}{65}$ $\frac{3}{11}÷\frac{1}{5}÷\frac{5}{22}$
$(\frac{2}{3}+\frac{1}{6})÷\frac{1}{36}$ $\frac{3}{4}×\frac{2}{9}÷\frac{7}{18}$ $[1-(\frac{1}{4}+\frac{3}{8})]÷\frac{1}{4}$
$\frac{7}{10}×\frac{1}{6}+\frac{3}{10}÷6$ $66×\frac{7}{65}$ $\frac{3}{11}÷\frac{1}{5}÷\frac{5}{22}$
$(\frac{2}{3}+\frac{1}{6})÷\frac{1}{36}$ $\frac{3}{4}×\frac{2}{9}÷\frac{7}{18}$ $[1-(\frac{1}{4}+\frac{3}{8})]÷\frac{1}{4}$
答案
$\frac{7}{10}×\frac{1}{6}+\frac{3}{10}÷6$
$=\frac{7}{10}×\frac{1}{6}+\frac{3}{10}×\frac{1}{6}$
$=(\frac{7}{10}+\frac{3}{10})×\frac{1}{6}$
$=1×\frac{1}{6}$
$=\frac{1}{6}$
$66×\frac{7}{65}$
$=(65 + 1)×\frac{7}{65}$
$=65×\frac{7}{65}+1×\frac{7}{65}$
$=7+\frac{7}{65}$
$=7\frac{7}{65}$
$\frac{3}{11}÷\frac{1}{5}÷\frac{5}{22}$
$=\frac{3}{11}×5×\frac{22}{5}$
$=\frac{3}{11}×22$
$=6$
$(\frac{2}{3}+\frac{1}{6})÷\frac{1}{36}$
$=(\frac{2}{3}+\frac{1}{6})×36$
$=\frac{2}{3}×36+\frac{1}{6}×36$
$=24 + 6$
$=30$
$\frac{3}{4}×\frac{2}{9}÷\frac{7}{18}$
$=\frac{1}{6}×\frac{18}{7}$
$=\frac{3}{7}$
$[1-(\frac{1}{4}+\frac{3}{8})]÷\frac{1}{4}$
$=[1-(\frac{2}{8}+\frac{3}{8})]×4$
$=(1-\frac{5}{8})×4$
$=\frac{3}{8}×4$
$=\frac{3}{2}$
$=\frac{7}{10}×\frac{1}{6}+\frac{3}{10}×\frac{1}{6}$
$=(\frac{7}{10}+\frac{3}{10})×\frac{1}{6}$
$=1×\frac{1}{6}$
$=\frac{1}{6}$
$66×\frac{7}{65}$
$=(65 + 1)×\frac{7}{65}$
$=65×\frac{7}{65}+1×\frac{7}{65}$
$=7+\frac{7}{65}$
$=7\frac{7}{65}$
$\frac{3}{11}÷\frac{1}{5}÷\frac{5}{22}$
$=\frac{3}{11}×5×\frac{22}{5}$
$=\frac{3}{11}×22$
$=6$
$(\frac{2}{3}+\frac{1}{6})÷\frac{1}{36}$
$=(\frac{2}{3}+\frac{1}{6})×36$
$=\frac{2}{3}×36+\frac{1}{6}×36$
$=24 + 6$
$=30$
$\frac{3}{4}×\frac{2}{9}÷\frac{7}{18}$
$=\frac{1}{6}×\frac{18}{7}$
$=\frac{3}{7}$
$[1-(\frac{1}{4}+\frac{3}{8})]÷\frac{1}{4}$
$=[1-(\frac{2}{8}+\frac{3}{8})]×4$
$=(1-\frac{5}{8})×4$
$=\frac{3}{8}×4$
$=\frac{3}{2}$
3. 解方程。(6分)
$\frac{3}{5}x-\frac{3}{7}= \frac{4}{7}$ $x+\frac{1}{6}x= \frac{35}{48}$ $7x÷\frac{1}{10}= \frac{5}{6}$
$\frac{3}{5}x-\frac{3}{7}= \frac{4}{7}$ $x+\frac{1}{6}x= \frac{35}{48}$ $7x÷\frac{1}{10}= \frac{5}{6}$
答案
$\frac{3}{5}x-\frac{3}{7}= \frac{4}{7}$
解：$\frac{3}{5}x=\frac{4}{7}+\frac{3}{7}$
$\frac{3}{5}x=1$
$x=1÷\frac{3}{5}$
$x=\frac{5}{3}$
$x+\frac{1}{6}x= \frac{35}{48}$
解：$\frac{7}{6}x=\frac{35}{48}$
$x=\frac{35}{48}÷\frac{7}{6}$
$x=\frac{35}{48}×\frac{6}{7}$
$x=\frac{5}{8}$
$7x÷\frac{1}{10}= \frac{5}{6}$
解：$7x=\frac{5}{6}×\frac{1}{10}$
$7x=\frac{1}{12}$
$x=\frac{1}{12}÷7$
$x=\frac{1}{84}$
解：$\frac{3}{5}x=\frac{4}{7}+\frac{3}{7}$
$\frac{3}{5}x=1$
$x=1÷\frac{3}{5}$
$x=\frac{5}{3}$
$x+\frac{1}{6}x= \frac{35}{48}$
解：$\frac{7}{6}x=\frac{35}{48}$
$x=\frac{35}{48}÷\frac{7}{6}$
$x=\frac{35}{48}×\frac{6}{7}$
$x=\frac{5}{8}$
$7x÷\frac{1}{10}= \frac{5}{6}$
解：$7x=\frac{5}{6}×\frac{1}{10}$
$7x=\frac{1}{12}$
$x=\frac{1}{12}÷7$
$x=\frac{1}{84}$
4. 列式计算。(6分)
(1)一个数的$\frac{13}{18}$是65,它的$\frac{1}{5}$是多少? (2)$\frac{1}{6}与\frac{3}{4}的和除以\frac{1}{24}$,商是多少?
(1)一个数的$\frac{13}{18}$是65,它的$\frac{1}{5}$是多少? (2)$\frac{1}{6}与\frac{3}{4}的和除以\frac{1}{24}$,商是多少?
答案
(1)65÷$\frac{13}{18}$×$\frac{1}{5}$
=65×$\frac{18}{13}$×$\frac{1}{5}$
=90×$\frac{1}{5}$
=18
(2)（$\frac{1}{6}$+$\frac{3}{4}$）÷$\frac{1}{24}$
=（$\frac{2}{12}$+$\frac{9}{12}$）×24
=$\frac{11}{12}$×24
=22
=65×$\frac{18}{13}$×$\frac{1}{5}$
=90×$\frac{1}{5}$
=18
(2)（$\frac{1}{6}$+$\frac{3}{4}$）÷$\frac{1}{24}$
=（$\frac{2}{12}$+$\frac{9}{12}$）×24
=$\frac{11}{12}$×24
=22
