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1. $\frac {4}{5}×\frac {15}{8}= $
答案
$\frac{3}{2}$
解析
$\frac{4}{5} × \frac{15}{8} = \frac{4 × 15}{5 × 8} = \frac{60}{40} = \frac{3}{2}$
2. $\frac {3}{7}×\frac {14}{9}= $
答案
$\frac{2}{3}$
解析
$\frac{3}{7} × \frac{14}{9} = \frac{3 × 14}{7 × 9} = \frac{42}{63} = \frac{2}{3}$
3. $\frac {3}{4}÷\frac {1}{6}= $
答案
$\frac{9}{2}$
解析
$\frac{3}{4} ÷ \frac{1}{6} = \frac{3}{4} × 6 = \frac{18}{4} = \frac{9}{2}$
4. $8÷\frac {4}{5}= $
答案
10
解析
$8÷\frac{4}{5}=8×\frac{5}{4}=10$
5. $\frac {1}{3}×24÷\frac {1}{3}= $
答案
24
解析
$\frac{1}{3} × 24 ÷ \frac{1}{3} = \frac{1}{3} × 24 × 3 = 24$
6. $\frac {3}{4}÷\frac {3}{4}÷\frac {4}{3}= $
答案
$\frac{3}{4}$
解析
$\frac{3}{4} ÷ \frac{3}{4} ÷ \frac{4}{3}$
$= \frac{3}{4} × \frac{4}{3} ÷ \frac{4}{3}$
$= 1 ÷ \frac{4}{3}$
$= 1 × \frac{3}{4}$
$= \frac{3}{4}$
$= \frac{3}{4} × \frac{4}{3} ÷ \frac{4}{3}$
$= 1 ÷ \frac{4}{3}$
$= 1 × \frac{3}{4}$
$= \frac{3}{4}$
7. $1÷\frac {3}{2}×\frac {2}{3}= $
答案
$\frac{4}{9}$
解析
$1÷\frac{3}{2}×\frac{2}{3}=1×\frac{2}{3}×\frac{2}{3}=\frac{4}{9}$
8. $\frac {1}{4}×8÷\frac {1}{4}×8= $
答案
64
解析
$\frac{1}{4} × 8 ÷ \frac{1}{4} × 8$
$=\frac{1}{4} × 8 × 4 × 8$
$=(\frac{1}{4} × 4) × (8 × 8)$
$=1 × 64$
$=64$
$=\frac{1}{4} × 8 × 4 × 8$
$=(\frac{1}{4} × 4) × (8 × 8)$
$=1 × 64$
$=64$
9. $\frac {3}{4}×2÷\frac {3}{8}$
答案
4
解析
$\frac{3}{4} × 2 ÷ \frac{3}{8}$
$=\frac{3}{4} × 2 × \frac{8}{3}$
$=\frac{3 × 2 × 8}{4 × 3}$
$=\frac{48}{12}$
$=4$
$=\frac{3}{4} × 2 × \frac{8}{3}$
$=\frac{3 × 2 × 8}{4 × 3}$
$=\frac{48}{12}$
$=4$
10. $\frac {5}{21}÷\frac {4}{7}×\frac {3}{10}$
答案
$\frac{1}{8}$
解析
$\frac{5}{21} ÷ \frac{4}{7} × \frac{3}{10}$
$=\frac{5}{21} × \frac{7}{4} × \frac{3}{10}$
$=\frac{5 × 7 × 3}{21 × 4 × 10}$
$=\frac{105}{840}$
$=\frac{1}{8}$
$=\frac{5}{21} × \frac{7}{4} × \frac{3}{10}$
$=\frac{5 × 7 × 3}{21 × 4 × 10}$
$=\frac{105}{840}$
$=\frac{1}{8}$
11. $\frac {3}{5}÷6÷\frac {1}{15}$
答案
$\frac{3}{2}$
解析
$\frac{3}{5} ÷ 6 ÷ \frac{1}{15}$
$=\frac{3}{5} × \frac{1}{6} × 15$
$=\frac{3}{30} × 15$
$=\frac{1}{10} × 15$
$=\frac{15}{10}$
$=\frac{3}{2}$
$=\frac{3}{5} × \frac{1}{6} × 15$
$=\frac{3}{30} × 15$
$=\frac{1}{10} × 15$
$=\frac{15}{10}$
$=\frac{3}{2}$
12. $202×\frac {21}{5}×0×209$
答案
0
解析
$202×\frac{21}{5}×0×209 = 0$
13. $2\frac {1}{2}÷1\frac {1}{2}÷3\frac {1}{3}$
答案
$\frac{1}{2}$
解析
$2\frac{1}{2} = \frac{5}{2}$，$1\frac{1}{2} = \frac{3}{2}$，$3\frac{1}{3} = \frac{10}{3}$
$\frac{5}{2} ÷ \frac{3}{2} = \frac{5}{2} × \frac{2}{3} = \frac{5}{3}$
$\frac{5}{3} ÷ \frac{10}{3} = \frac{5}{3} × \frac{3}{10} = \frac{1}{2}$
$\frac{1}{2}$
$\frac{5}{2} ÷ \frac{3}{2} = \frac{5}{2} × \frac{2}{3} = \frac{5}{3}$
$\frac{5}{3} ÷ \frac{10}{3} = \frac{5}{3} × \frac{3}{10} = \frac{1}{2}$
$\frac{1}{2}$
14. $\frac {7}{18}×\frac {5}{4}+\frac {7}{18}÷\frac {4}{13}$
答案
$\frac{7}{4}$
解析
$\frac{7}{18} × \frac{5}{4} + \frac{7}{18} ÷ \frac{4}{13}$
$= \frac{7}{18} × \frac{5}{4} + \frac{7}{18} × \frac{13}{4}$
$= \frac{7}{18} × \left( \frac{5}{4} + \frac{13}{4} \right)$
$= \frac{7}{18} × \frac{18}{4}$
$= \frac{7}{4}$
$= \frac{7}{18} × \frac{5}{4} + \frac{7}{18} × \frac{13}{4}$
$= \frac{7}{18} × \left( \frac{5}{4} + \frac{13}{4} \right)$
$= \frac{7}{18} × \frac{18}{4}$
$= \frac{7}{4}$
15. $24\frac {6}{7}÷6$
答案
$4\frac{1}{7}$
解析
$24\frac{6}{7} ÷ 6$
$=(24 + \frac{6}{7}) ÷ 6$
$=24÷6 + \frac{6}{7}÷6$
$=4 + \frac{1}{7}$
$=4\frac{1}{7}$
$=(24 + \frac{6}{7}) ÷ 6$
$=24÷6 + \frac{6}{7}÷6$
$=4 + \frac{1}{7}$
$=4\frac{1}{7}$
16. $101×\frac {99}{100}$
答案
$99\frac{99}{100}$
解析
$101×\frac{99}{100}$
$=(100 + 1)×\frac{99}{100}$
$=100×\frac{99}{100}+1×\frac{99}{100}$
$=99+\frac{99}{100}$
$=99\frac{99}{100}$
$=(100 + 1)×\frac{99}{100}$
$=100×\frac{99}{100}+1×\frac{99}{100}$
$=99+\frac{99}{100}$
$=99\frac{99}{100}$
