1. 在$◯$里填上>、<或=。
$\frac{2}{5}÷\frac{2}{3}◯\frac{2}{5}×\frac{2}{3}$ $\frac{9}{11}÷3◯\frac{9}{11}×3$
$1÷\frac{3}{2}◯1×\frac{3}{2}$ $\frac{2}{3}÷4◯\frac{2}{3}×4$
$\frac{2}{5}÷\frac{2}{3}◯\frac{2}{5}×\frac{2}{3}$ $\frac{9}{11}÷3◯\frac{9}{11}×3$
$1÷\frac{3}{2}◯1×\frac{3}{2}$ $\frac{2}{3}÷4◯\frac{2}{3}×4$
答案
>
<
<
<
$\frac {5}{3}$
$\frac {1}{12}$
40
$\frac {1}{16}$
$\frac {5}{6}$
$\frac {4}{3}$
$\frac {8}{15}$
$\frac {5}{4}$
$\frac {10}{9}$
$\frac {2}{3}$
<
<
<
$\frac {5}{3}$
$\frac {1}{12}$
40
$\frac {1}{16}$
$\frac {5}{6}$
$\frac {4}{3}$
$\frac {8}{15}$
$\frac {5}{4}$
$\frac {10}{9}$
$\frac {2}{3}$
2. $24÷\frac{3}{5}=24×(\quad)$ $\frac{3}{4}÷12=\frac{3}{4}×(\quad)$
$=(\quad)$ $=(\quad)$
$\frac{5}{6}÷\frac{3}{4}=(\quad)×(\quad)$ $\frac{8}{15}÷\frac{4}{5}=(\quad)×(\quad)$
$=(\quad)$ $=(\quad)$
$=(\quad)$ $=(\quad)$
$\frac{5}{6}÷\frac{3}{4}=(\quad)×(\quad)$ $\frac{8}{15}÷\frac{4}{5}=(\quad)×(\quad)$
$=(\quad)$ $=(\quad)$
答案
$\frac{5}{3}$,40;$\frac{1}{12}$,$\frac{1}{16}$;$\frac{5}{6}$,$\frac{4}{3}$,$\frac{10}{9}$;$\frac{8}{15}$,$\frac{5}{4}$,$\frac{2}{3}$
解析
$24÷\frac{3}{5}=24×\frac{5}{3}=40$;$\frac{3}{4}÷12=\frac{3}{4}×\frac{1}{12}=\frac{1}{16}$
$\frac{5}{6}÷\frac{3}{4}=\frac{5}{6}×\frac{4}{3}=\frac{10}{9}$;$\frac{8}{15}÷\frac{4}{5}=\frac{8}{15}×\frac{5}{4}=\frac{2}{3}$
$\frac{5}{6}÷\frac{3}{4}=\frac{5}{6}×\frac{4}{3}=\frac{10}{9}$;$\frac{8}{15}÷\frac{4}{5}=\frac{8}{15}×\frac{5}{4}=\frac{2}{3}$
3. 计算。
$\frac{2}{3}÷\frac{3}{4}$ $\frac{4}{9}÷\frac{2}{3}$ $\frac{7}{8}÷\frac{7}{16}$
$\frac{8}{9}÷\frac{20}{81}$ $12÷\frac{1}{13}$ $15÷25$
$\frac{2}{3}÷\frac{3}{4}$ $\frac{4}{9}÷\frac{2}{3}$ $\frac{7}{8}÷\frac{7}{16}$
$\frac{8}{9}÷\frac{20}{81}$ $12÷\frac{1}{13}$ $15÷25$
答案
$=\frac {2}{3}×\frac {4}{3}$
$=\frac {8}{9}$
$=\frac {4}{9}×\frac {3}{2}$
$=\frac {2}{3}$
$=\frac {7}{8}×\frac {16}{7}$
=2
$=\frac {8}{9}×\frac {21}{20}$
$=\frac {18}{5}$
=12×13
=156
$=15×\frac 1{25}$
$=\frac 35$
$=\frac {8}{9}$
$=\frac {4}{9}×\frac {3}{2}$
$=\frac {2}{3}$
$=\frac {7}{8}×\frac {16}{7}$
=2
$=\frac {8}{9}×\frac {21}{20}$
$=\frac {18}{5}$
=12×13
=156
$=15×\frac 1{25}$
$=\frac 35$
4. 解方程。
$8x=\frac{2}{5}$ $\frac{1}{3}x=\frac{7}{12}$ $\frac{5}{6}x=15$ $\frac{5}{14}x=5$
$8x=\frac{2}{5}$ $\frac{1}{3}x=\frac{7}{12}$ $\frac{5}{6}x=15$ $\frac{5}{14}x=5$
答案
$\begin {aligned}解:8x&=\frac {2}{5}\\x &=\frac {1}{20}\end {aligned}$
$\begin {aligned}解: \frac {1}{3}x&=\frac {7}{12}\\x &=\frac {7}{4}\end {aligned}$
$\begin {aligned}解: \frac {1}{3}x&=\frac {7}{12}\\x &=\frac {7}{4}\end {aligned}$
$\begin {aligned}解: \frac {5}{6}x&=15\\x &=18\end {aligned}$
$\begin {aligned}解:\frac {5}{14}x&=5\\x &=14\end {aligned}$
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