一、在$◯$里填“>”“<”或“=”。
$\frac{7}{15}×\frac{6}{7}$
$12×\frac{8}{7}$
$\frac{1}{5}×9$
$\frac{8}{9}×\frac{11}{9}$
$\frac{7}{15}×\frac{6}{7}$
<
$\frac{7}{15}$ $\frac{8}{9}×\frac{5}{6}$<
$\frac{8}{9}$ $\frac{7}{8}×\frac{11}{9}$>
$\frac{7}{8}$$12×\frac{8}{7}$
>
$12$ $\frac{9}{5}×\frac{8}{9}$>
$\frac{8}{9}$ $\frac{11}{12}×\frac{8}{9}$<
$\frac{11}{12}$$\frac{1}{5}×9$
>
$\frac{1}{5}×8$ $\frac{1}{4}×\frac{6}{11}$<
$\frac{6}{11}×\frac{7}{8}$ $2×\frac{5}{7}$=
$\frac{5}{7}×2$$\frac{8}{9}×\frac{11}{9}$
>
$\frac{8}{9}×1$ $5×\frac{2}{3}$=
$\frac{2}{3}×5$ $\frac{6}{7}×\frac{3}{5}$>
$\frac{5}{7}×\frac{3}{5}$答案
一、< < > > > < > = >
二、在$□$里填合适的数。

$\frac{8}{5}\xrightarrow{×3}
$24\xrightarrow{×\frac{3}{8}}$
$\frac{8}{5}\xrightarrow{×3}
$\dfrac{24}{5}$
\xrightarrow{×\frac{1}{4}}$\dfrac{6}{5}$
\xrightarrow{×\frac{5}{6}}$1
$\xrightarrow{×3\frac{2}{9}}$3\dfrac{2}{9}$
$$24\xrightarrow{×\frac{3}{8}}$
9
$\xrightarrow{×\frac{5}{18}}$\dfrac{5}{2}$
\xrightarrow{×0.4}$1
$\xrightarrow{×\frac{1}{18}}$\dfrac{1}{18}$
$答案
二、$\dfrac{24}{5}$ $\dfrac{6}{5}$ $1$ $3\dfrac{2}{9}$ $9$ $\dfrac{5}{2}$ $1$ $\dfrac{1}{18}$
三、计算下面各题。
$\frac{11}{7}×\frac{2}{3}×\frac{21}{22}$ $\frac{1}{18}×\frac{8}{5}×\frac{9}{4}$ $6×\frac{7}{18}×\frac{3}{7}$
$\frac{4}{7}×2.1×\frac{2}{5}$ $\frac{20}{3}×\frac{9}{2}×15$ $\frac{9}{10}×\frac{4}{3}×\frac{5}{12}$
$\frac{5}{2}×6×\frac{4}{5}$ $\frac{3}{8}×\frac{5}{6}×\frac{8}{15}$ $\frac{13}{24}×\frac{3}{2}×\frac{2}{13}$
$\frac{3}{8}×\frac{16}{21}×\frac{7}{9}$ $\frac{7}{6}×\frac{13}{14}×\frac{9}{26}$ $\frac{4}{5}×15×\frac{9}{16}$
$\frac{7}{15}×5×\frac{4}{21}$ $\frac{5}{7}×\frac{14}{15}×\frac{3}{5}$ $\frac{8}{15}×12×\frac{7}{16}$
$\frac{5}{6}×\frac{5}{8}×\frac{24}{25}$ $\frac{16}{39}×\frac{26}{27}×\frac{9}{10}$ $\frac{5}{6}×\frac{8}{13}×\frac{13}{20}$
$\frac{3}{7}×\frac{2}{5}×\frac{35}{42}$ $91×\frac{7}{13}×\frac{5}{49}$ $\frac{2}{9}×\frac{3}{20}×\frac{9}{11}$
$\frac{11}{7}×\frac{2}{3}×\frac{21}{22}$ $\frac{1}{18}×\frac{8}{5}×\frac{9}{4}$ $6×\frac{7}{18}×\frac{3}{7}$
$\frac{4}{7}×2.1×\frac{2}{5}$ $\frac{20}{3}×\frac{9}{2}×15$ $\frac{9}{10}×\frac{4}{3}×\frac{5}{12}$
$\frac{5}{2}×6×\frac{4}{5}$ $\frac{3}{8}×\frac{5}{6}×\frac{8}{15}$ $\frac{13}{24}×\frac{3}{2}×\frac{2}{13}$
$\frac{3}{8}×\frac{16}{21}×\frac{7}{9}$ $\frac{7}{6}×\frac{13}{14}×\frac{9}{26}$ $\frac{4}{5}×15×\frac{9}{16}$
$\frac{7}{15}×5×\frac{4}{21}$ $\frac{5}{7}×\frac{14}{15}×\frac{3}{5}$ $\frac{8}{15}×12×\frac{7}{16}$
$\frac{5}{6}×\frac{5}{8}×\frac{24}{25}$ $\frac{16}{39}×\frac{26}{27}×\frac{9}{10}$ $\frac{5}{6}×\frac{8}{13}×\frac{13}{20}$
$\frac{3}{7}×\frac{2}{5}×\frac{35}{42}$ $91×\frac{7}{13}×\frac{5}{49}$ $\frac{2}{9}×\frac{3}{20}×\frac{9}{11}$
答案
1. 计算$\frac{11}{7}×\frac{2}{3}×\frac{21}{22}$:
解:$\frac{11}{7}×\frac{2}{3}×\frac{21}{22}=\frac{11×2×21}{7×3×22}=\frac{11×2×3×7}{7×3×2×11}=1$。
2. 计算$\frac{1}{18}×\frac{8}{5}×\frac{9}{4}$:
解:$\frac{1}{18}×\frac{8}{5}×\frac{9}{4}=\frac{1×8×9}{18×5×4}=\frac{1×2×4×9}{2×9×5×4}=\frac{1}{5}$。
3. 计算$6×\frac{7}{18}×\frac{3}{7}$:
解:$6×\frac{7}{18}×\frac{3}{7}=\frac{6×7×3}{18×7}=\frac{6×3}{18}=1$。
4. 计算$\frac{4}{7}×2.1×\frac{2}{5}$:
解:$2.1 = \frac{21}{10}$,则$\frac{4}{7}×\frac{21}{10}×\frac{2}{5}=\frac{4×21×2}{7×10×5}=\frac{4×3×7×2}{7×10×5}=\frac{12}{25}$。
5. 计算$\frac{20}{3}×\frac{9}{2}×15$:
解:$\frac{20}{3}×\frac{9}{2}×15=\frac{20×9×15}{3×2}=450$。
6. 计算$\frac{9}{10}×\frac{4}{3}×\frac{5}{12}$:
解:$\frac{9}{10}×\frac{4}{3}×\frac{5}{12}=\frac{9×4×5}{10×3×12}=\frac{3×3×4×5}{2×5×3×4}=\frac{1}{2}$。
7. 计算$\frac{5}{2}×6×\frac{4}{5}$:
解:$\frac{5}{2}×6×\frac{4}{5}=\frac{5×6×4}{2×5}=12$。
8. 计算$\frac{3}{8}×\frac{5}{6}×\frac{8}{15}$:
解:$\frac{3}{8}×\frac{5}{6}×\frac{8}{15}=\frac{3×5×8}{8×6×15}=\frac{3×5×8}{8×3×2×5}=\frac{1}{6}$。
9. 计算$\frac{13}{24}×\frac{3}{2}×\frac{2}{13}$:
解:$\frac{13}{24}×\frac{3}{2}×\frac{2}{13}=\frac{13×3×2}{24×2×13}=\frac{1}{8}$。
10. 计算$\frac{3}{8}×\frac{16}{21}×\frac{7}{9}$:
解:$\frac{3}{8}×\frac{16}{21}×\frac{7}{9}=\frac{3×16×7}{8×21×9}=\frac{3×2×8×7}{8×3×7×3}=\frac{2}{9}$。
11. 计算$\frac{7}{6}×\frac{13}{14}×\frac{9}{26}$:
解:$\frac{7}{6}×\frac{13}{14}×\frac{9}{26}=\frac{7×13×9}{6×14×26}=\frac{7×13×9}{2×3×2×7×2×13}=\frac{3}{8}$。
12. 计算$\frac{4}{5}×15×\frac{9}{16}$:
解:$\frac{4}{5}×15×\frac{9}{16}=\frac{4×15×9}{5×16}=\frac{4×3×5×9}{5×4×4}=\frac{27}{4}$。
13. 计算$\frac{7}{15}×5×\frac{4}{21}$:
解:$\frac{7}{15}×5×\frac{4}{21}=\frac{7×5×4}{15×21}=\frac{7×5×4}{3×5×7×3}=\frac{4}{9}$。
14. 计算$\frac{5}{7}×\frac{14}{15}×\frac{3}{5}$:
解:$\frac{5}{7}×\frac{14}{15}×\frac{3}{5}=\frac{5×14×3}{7×15×5}=\frac{5×2×7×3}{7×3×5}=\frac{2}{5}$。
15. 计算$\frac{8}{15}×12×\frac{7}{16}$:
解:$\frac{8}{15}×12×\frac{7}{16}=\frac{8×12×7}{15×16}=\frac{8×3×4×7}{3×5×8×2}=\frac{14}{5}$。
16. 计算$\frac{5}{6}×\frac{5}{8}×\frac{24}{25}$:
解:$\frac{5}{6}×\frac{5}{8}×\frac{24}{25}=\frac{5×5×24}{6×8×25}=\frac{5×5×3×8}{6×8×5×5}=\frac{1}{2}$。
17. 计算$\frac{16}{39}×\frac{26}{27}×\frac{9}{10}$:
解:$\frac{16}{39}×\frac{26}{27}×\frac{9}{10}=\frac{16×26×9}{39×27×10}=\frac{16×2×13×9}{3×13×3×9×10}=\frac{8}{45}$。
18. 计算$\frac{5}{6}×\frac{8}{13}×\frac{13}{20}$:
解:$\frac{5}{6}×\frac{8}{13}×\frac{13}{20}=\frac{5×8×13}{6×13×20}=\frac{5×8×13}{6×13×4×5}=\frac{1}{3}$。
19. 计算$\frac{3}{7}×\frac{2}{5}×\frac{35}{42}$:
解:$\frac{3}{7}×\frac{2}{5}×\frac{35}{42}=\frac{3×2×35}{7×5×42}=\frac{3×2×5×7}{7×5×6×7}=\frac{1}{7}$。
20. 计算$91×\frac{7}{13}×\frac{5}{49}$:
解:$91 = 7×13$,则$91×\frac{7}{13}×\frac{5}{49}=\frac{7×13×7×5}{13×49}=5$。
21. 计算$\frac{2}{9}×\frac{3}{20}×\frac{9}{11}$:
解:$\frac{2}{9}×\frac{3}{20}×\frac{9}{11}=\frac{2×3×9}{9×20×11}=\frac{2×3×9}{9×4×5×11}=\frac{3}{110}$。
综上,答案依次为:$1$;$\frac{1}{5}$;$1$;$\frac{12}{25}$;$450$;$\frac{1}{2}$;$12$;$\frac{1}{6}$;$\frac{1}{8}$;$\frac{2}{9}$;$\frac{3}{8}$;$\frac{27}{4}$;$\frac{4}{9}$;$\frac{2}{5}$;$\frac{14}{5}$;$\frac{1}{2}$;$\frac{8}{45}$;$\frac{1}{3}$;$\frac{1}{7}$;$5$;$\frac{3}{110}$。
解:$\frac{11}{7}×\frac{2}{3}×\frac{21}{22}=\frac{11×2×21}{7×3×22}=\frac{11×2×3×7}{7×3×2×11}=1$。
2. 计算$\frac{1}{18}×\frac{8}{5}×\frac{9}{4}$:
解:$\frac{1}{18}×\frac{8}{5}×\frac{9}{4}=\frac{1×8×9}{18×5×4}=\frac{1×2×4×9}{2×9×5×4}=\frac{1}{5}$。
3. 计算$6×\frac{7}{18}×\frac{3}{7}$:
解:$6×\frac{7}{18}×\frac{3}{7}=\frac{6×7×3}{18×7}=\frac{6×3}{18}=1$。
4. 计算$\frac{4}{7}×2.1×\frac{2}{5}$:
解:$2.1 = \frac{21}{10}$,则$\frac{4}{7}×\frac{21}{10}×\frac{2}{5}=\frac{4×21×2}{7×10×5}=\frac{4×3×7×2}{7×10×5}=\frac{12}{25}$。
5. 计算$\frac{20}{3}×\frac{9}{2}×15$:
解:$\frac{20}{3}×\frac{9}{2}×15=\frac{20×9×15}{3×2}=450$。
6. 计算$\frac{9}{10}×\frac{4}{3}×\frac{5}{12}$:
解:$\frac{9}{10}×\frac{4}{3}×\frac{5}{12}=\frac{9×4×5}{10×3×12}=\frac{3×3×4×5}{2×5×3×4}=\frac{1}{2}$。
7. 计算$\frac{5}{2}×6×\frac{4}{5}$:
解:$\frac{5}{2}×6×\frac{4}{5}=\frac{5×6×4}{2×5}=12$。
8. 计算$\frac{3}{8}×\frac{5}{6}×\frac{8}{15}$:
解:$\frac{3}{8}×\frac{5}{6}×\frac{8}{15}=\frac{3×5×8}{8×6×15}=\frac{3×5×8}{8×3×2×5}=\frac{1}{6}$。
9. 计算$\frac{13}{24}×\frac{3}{2}×\frac{2}{13}$:
解:$\frac{13}{24}×\frac{3}{2}×\frac{2}{13}=\frac{13×3×2}{24×2×13}=\frac{1}{8}$。
10. 计算$\frac{3}{8}×\frac{16}{21}×\frac{7}{9}$:
解:$\frac{3}{8}×\frac{16}{21}×\frac{7}{9}=\frac{3×16×7}{8×21×9}=\frac{3×2×8×7}{8×3×7×3}=\frac{2}{9}$。
11. 计算$\frac{7}{6}×\frac{13}{14}×\frac{9}{26}$:
解:$\frac{7}{6}×\frac{13}{14}×\frac{9}{26}=\frac{7×13×9}{6×14×26}=\frac{7×13×9}{2×3×2×7×2×13}=\frac{3}{8}$。
12. 计算$\frac{4}{5}×15×\frac{9}{16}$:
解:$\frac{4}{5}×15×\frac{9}{16}=\frac{4×15×9}{5×16}=\frac{4×3×5×9}{5×4×4}=\frac{27}{4}$。
13. 计算$\frac{7}{15}×5×\frac{4}{21}$:
解:$\frac{7}{15}×5×\frac{4}{21}=\frac{7×5×4}{15×21}=\frac{7×5×4}{3×5×7×3}=\frac{4}{9}$。
14. 计算$\frac{5}{7}×\frac{14}{15}×\frac{3}{5}$:
解:$\frac{5}{7}×\frac{14}{15}×\frac{3}{5}=\frac{5×14×3}{7×15×5}=\frac{5×2×7×3}{7×3×5}=\frac{2}{5}$。
15. 计算$\frac{8}{15}×12×\frac{7}{16}$:
解:$\frac{8}{15}×12×\frac{7}{16}=\frac{8×12×7}{15×16}=\frac{8×3×4×7}{3×5×8×2}=\frac{14}{5}$。
16. 计算$\frac{5}{6}×\frac{5}{8}×\frac{24}{25}$:
解:$\frac{5}{6}×\frac{5}{8}×\frac{24}{25}=\frac{5×5×24}{6×8×25}=\frac{5×5×3×8}{6×8×5×5}=\frac{1}{2}$。
17. 计算$\frac{16}{39}×\frac{26}{27}×\frac{9}{10}$:
解:$\frac{16}{39}×\frac{26}{27}×\frac{9}{10}=\frac{16×26×9}{39×27×10}=\frac{16×2×13×9}{3×13×3×9×10}=\frac{8}{45}$。
18. 计算$\frac{5}{6}×\frac{8}{13}×\frac{13}{20}$:
解:$\frac{5}{6}×\frac{8}{13}×\frac{13}{20}=\frac{5×8×13}{6×13×20}=\frac{5×8×13}{6×13×4×5}=\frac{1}{3}$。
19. 计算$\frac{3}{7}×\frac{2}{5}×\frac{35}{42}$:
解:$\frac{3}{7}×\frac{2}{5}×\frac{35}{42}=\frac{3×2×35}{7×5×42}=\frac{3×2×5×7}{7×5×6×7}=\frac{1}{7}$。
20. 计算$91×\frac{7}{13}×\frac{5}{49}$:
解:$91 = 7×13$,则$91×\frac{7}{13}×\frac{5}{49}=\frac{7×13×7×5}{13×49}=5$。
21. 计算$\frac{2}{9}×\frac{3}{20}×\frac{9}{11}$:
解:$\frac{2}{9}×\frac{3}{20}×\frac{9}{11}=\frac{2×3×9}{9×20×11}=\frac{2×3×9}{9×4×5×11}=\frac{3}{110}$。
综上,答案依次为:$1$;$\frac{1}{5}$;$1$;$\frac{12}{25}$;$450$;$\frac{1}{2}$;$12$;$\frac{1}{6}$;$\frac{1}{8}$;$\frac{2}{9}$;$\frac{3}{8}$;$\frac{27}{4}$;$\frac{4}{9}$;$\frac{2}{5}$;$\frac{14}{5}$;$\frac{1}{2}$;$\frac{8}{45}$;$\frac{1}{3}$;$\frac{1}{7}$;$5$;$\frac{3}{110}$。
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