1. 直接写出得数。
$1-\frac{1}{4}=$
$0.5^{3}=$
$1-\frac{1}{4}=$
$\frac{3}{4}$
$1÷12.5\%=$8
$6÷\frac{7}{6}=$$\frac{36}{7}$
$\frac{1}{7}+\frac{6}{7}×\frac{5}{6}=$$\frac{6}{7}$
$0.5^{3}=$
0.125
$\frac{5}{12}+\frac{1}{3}=$$\frac{3}{4}$
$18×\frac{4}{3}=$24
$\frac{3}{7}×4÷\frac{3}{7}×4=$16
答案：$\frac{3}{4}$ 8 $\frac{36}{7}$ $\frac{6}{7}$ 0.125 $\frac{3}{4}$ 24 16
2. 下面各题,怎样算简便就怎样算。
$\frac{7}{8}÷\frac{11}{6}×\frac{4}{21}$ $4-\frac{5}{28}÷\frac{5}{4}-\frac{6}{7}$ $(\frac{7}{10}+\frac{4}{5}-\frac{3}{8})÷\frac{1}{40}$
$5÷\frac{5}{6}+\frac{5}{6}÷5$ $\frac{5}{8}÷\frac{7}{4}+\frac{3}{8}×\frac{4}{7}$ $\frac{8}{9}÷[(\frac{3}{4}+\frac{1}{6})×\frac{3}{11}]$
$\frac{7}{8}÷\frac{11}{6}×\frac{4}{21}$ $4-\frac{5}{28}÷\frac{5}{4}-\frac{6}{7}$ $(\frac{7}{10}+\frac{4}{5}-\frac{3}{8})÷\frac{1}{40}$
$5÷\frac{5}{6}+\frac{5}{6}÷5$ $\frac{5}{8}÷\frac{7}{4}+\frac{3}{8}×\frac{4}{7}$ $\frac{8}{9}÷[(\frac{3}{4}+\frac{1}{6})×\frac{3}{11}]$
答案：$\frac{1}{11}$ 3 45 $6\frac{1}{6}$ $\frac{4}{7}$ $\frac{32}{9}$
解析：
$\frac{7}{8}÷\frac{11}{6}×\frac{4}{21}$
$=\frac{7}{8}×\frac{6}{11}×\frac{4}{21}$
$=\frac{7×6×4}{8×11×21}$
$=\frac{1}{11}$
$4-\frac{5}{28}÷\frac{5}{4}-\frac{6}{7}$
$=4-\frac{5}{28}×\frac{4}{5}-\frac{6}{7}$
$=4-\frac{1}{7}-\frac{6}{7}$
$=4-(\frac{1}{7}+\frac{6}{7})$
$=4 - 1$
$=3$
$(\frac{7}{10}+\frac{4}{5}-\frac{3}{8})÷\frac{1}{40}$
$=(\frac{7}{10}+\frac{4}{5}-\frac{3}{8})×40$
$=\frac{7}{10}×40+\frac{4}{5}×40-\frac{3}{8}×40$
$=28 + 32 - 15$
$=45$
$5÷\frac{5}{6}+\frac{5}{6}÷5$
$=5×\frac{6}{5}+\frac{5}{6}×\frac{1}{5}$
$=6+\frac{1}{6}$
$=6\frac{1}{6}$
$\frac{5}{8}÷\frac{7}{4}+\frac{3}{8}×\frac{4}{7}$
$=\frac{5}{8}×\frac{4}{7}+\frac{3}{8}×\frac{4}{7}$
$=(\frac{5}{8}+\frac{3}{8})×\frac{4}{7}$
$=1×\frac{4}{7}$
$=\frac{4}{7}$
$\frac{8}{9}÷[(\frac{3}{4}+\frac{1}{6})×\frac{3}{11}]$
$=\frac{8}{9}÷[(\frac{9}{12}+\frac{2}{12})×\frac{3}{11}]$
$=\frac{8}{9}÷[\frac{11}{12}×\frac{3}{11}]$
$=\frac{8}{9}÷\frac{1}{4}$
$=\frac{8}{9}×4$
$=\frac{32}{9}$
$=\frac{7}{8}×\frac{6}{11}×\frac{4}{21}$
$=\frac{7×6×4}{8×11×21}$
$=\frac{1}{11}$
$4-\frac{5}{28}÷\frac{5}{4}-\frac{6}{7}$
$=4-\frac{5}{28}×\frac{4}{5}-\frac{6}{7}$
$=4-\frac{1}{7}-\frac{6}{7}$
$=4-(\frac{1}{7}+\frac{6}{7})$
$=4 - 1$
$=3$
$(\frac{7}{10}+\frac{4}{5}-\frac{3}{8})÷\frac{1}{40}$
$=(\frac{7}{10}+\frac{4}{5}-\frac{3}{8})×40$
$=\frac{7}{10}×40+\frac{4}{5}×40-\frac{3}{8}×40$
$=28 + 32 - 15$
$=45$
$5÷\frac{5}{6}+\frac{5}{6}÷5$
$=5×\frac{6}{5}+\frac{5}{6}×\frac{1}{5}$
$=6+\frac{1}{6}$
$=6\frac{1}{6}$
$\frac{5}{8}÷\frac{7}{4}+\frac{3}{8}×\frac{4}{7}$
$=\frac{5}{8}×\frac{4}{7}+\frac{3}{8}×\frac{4}{7}$
$=(\frac{5}{8}+\frac{3}{8})×\frac{4}{7}$
$=1×\frac{4}{7}$
$=\frac{4}{7}$
$\frac{8}{9}÷[(\frac{3}{4}+\frac{1}{6})×\frac{3}{11}]$
$=\frac{8}{9}÷[(\frac{9}{12}+\frac{2}{12})×\frac{3}{11}]$
$=\frac{8}{9}÷[\frac{11}{12}×\frac{3}{11}]$
$=\frac{8}{9}÷\frac{1}{4}$
$=\frac{8}{9}×4$
$=\frac{32}{9}$
3. 解方程。
$\frac{4}{5}x= \frac{14}{15}$ $x-75\%x= 4$ $\frac{2}{3}x-\frac{8}{15}= \frac{1}{6}$
$\frac{4}{5}x= \frac{14}{15}$ $x-75\%x= 4$ $\frac{2}{3}x-\frac{8}{15}= \frac{1}{6}$
答案：$x=\frac{7}{6}$ $x=16$ $x=\frac{21}{20}$
解析：
解：$\frac{4}{5}x=\frac{14}{15}$
$x=\frac{14}{15}÷\frac{4}{5}$
$x=\frac{14}{15}×\frac{5}{4}$
$x=\frac{7}{6}$
$x-75\%x=4$
$0.25x=4$
$x=4÷0.25$
$x=16$
$\frac{2}{3}x-\frac{8}{15}=\frac{1}{6}$
$\frac{2}{3}x=\frac{1}{6}+\frac{8}{15}$
$\frac{2}{3}x=\frac{5}{30}+\frac{16}{30}$
$\frac{2}{3}x=\frac{21}{30}$
$x=\frac{21}{30}÷\frac{2}{3}$
$x=\frac{21}{30}×\frac{3}{2}$
$x=\frac{21}{20}$
$x=\frac{14}{15}÷\frac{4}{5}$
$x=\frac{14}{15}×\frac{5}{4}$
$x=\frac{7}{6}$
$x-75\%x=4$
$0.25x=4$
$x=4÷0.25$
$x=16$
$\frac{2}{3}x-\frac{8}{15}=\frac{1}{6}$
$\frac{2}{3}x=\frac{1}{6}+\frac{8}{15}$
$\frac{2}{3}x=\frac{5}{30}+\frac{16}{30}$
$\frac{2}{3}x=\frac{21}{30}$
$x=\frac{21}{30}÷\frac{2}{3}$
$x=\frac{21}{30}×\frac{3}{2}$
$x=\frac{21}{20}$
$\frac{
3
}{10
}= 3
:10
= 9
÷30= 30
\%$答案：$\frac{3}{10}$ $3:10$ 9 30
2. $\frac{3}{5}公顷= (
6000
)$平方米 5050立方厘米$=(5.05
)$升答案：6000 5.05
解析：
$\frac{3}{5} × 10000 = 6000$
$5050 ÷ 1000 = 5.05$
$5050 ÷ 1000 = 5.05$