一、口算。
$7×\frac {4}{15}=$
$\frac {2}{3}×\frac {4}{5}=$
$\frac {7}{12}×\frac {5}{6}=$
$\frac {8}{9}×27=$
$\frac {6}{11}×\frac {3}{4}=$
$14×\frac {1}{8}=$
$0.375×\frac {4}{9}=$
$\frac {3}{4}-\frac {1}{2}=$
$\frac {1}{3}×\frac {30}{31}=$
$49×\frac {4}{7}=$
$\frac {5}{24}×120=$
$\frac {3}{8}×\frac {8}{9}=$
$\frac {4}{15}+\frac {5}{12}=$
$\frac {7}{9}×\frac {9}{35}=$
$\frac {3}{4}×3=$
$\frac {2}{15}+\frac {1}{5}=$
$\frac {3}{8}×\frac {2}{15}=$
$\frac {3}{2}-\frac {2}{3}=$
$\frac {15}{16}×\frac {2}{3}=$
$\frac {44}{75}×\frac {5}{11}=$
$\frac {5}{6}×48=$
$7×\frac {4}{15}=$
$\dfrac{28}{15}$
$\frac {2}{3}×\frac {4}{5}=$
$\dfrac{8}{15}$
$\frac {7}{12}×\frac {5}{6}=$
$\dfrac{35}{72}$
$\frac {8}{9}×27=$
24
$\frac {6}{11}×\frac {3}{4}=$
$\dfrac{9}{22}$
$14×\frac {1}{8}=$
$\dfrac{7}{4}$
$0.375×\frac {4}{9}=$
$\dfrac{1}{6}$
$\frac {3}{4}-\frac {1}{2}=$
$\dfrac{1}{4}$
$\frac {1}{3}×\frac {30}{31}=$
$\dfrac{10}{31}$
$49×\frac {4}{7}=$
28
$\frac {5}{24}×120=$
25
$\frac {3}{8}×\frac {8}{9}=$
$\dfrac{1}{3}$
$\frac {4}{15}+\frac {5}{12}=$
$\dfrac{41}{60}$
$\frac {7}{9}×\frac {9}{35}=$
$\dfrac{1}{5}$
$\frac {3}{4}×3=$
$\dfrac{9}{4}$
$\frac {2}{15}+\frac {1}{5}=$
$\dfrac{1}{3}$
$\frac {3}{8}×\frac {2}{15}=$
$\dfrac{1}{20}$
$\frac {3}{2}-\frac {2}{3}=$
$\dfrac{5}{6}$
$\frac {15}{16}×\frac {2}{3}=$
$\dfrac{5}{8}$
$\frac {44}{75}×\frac {5}{11}=$
$\dfrac{4}{15}$
$\frac {5}{6}×48=$
40
答案
一、$\dfrac{28}{15}$ $\dfrac{8}{15}$ $\dfrac{35}{72}$
24 $\dfrac{9}{22}$ $\dfrac{7}{4}$
$\dfrac{1}{6}$ $\dfrac{1}{4}$ $\dfrac{10}{31}$
28 25 $\dfrac{1}{3}$
$\dfrac{41}{60}$ $\dfrac{1}{5}$ $\dfrac{9}{4}$
$\dfrac{1}{3}$ $\dfrac{1}{20}$ $\dfrac{5}{6}$
$\dfrac{5}{8}$ $\dfrac{4}{15}$ 40
24 $\dfrac{9}{22}$ $\dfrac{7}{4}$
$\dfrac{1}{6}$ $\dfrac{1}{4}$ $\dfrac{10}{31}$
28 25 $\dfrac{1}{3}$
$\dfrac{41}{60}$ $\dfrac{1}{5}$ $\dfrac{9}{4}$
$\dfrac{1}{3}$ $\dfrac{1}{20}$ $\dfrac{5}{6}$
$\dfrac{5}{8}$ $\dfrac{4}{15}$ 40
二、计算下面各题。
$\frac {7}{8}×20×8$
$\frac {3}{16}×\frac {3}{4}×\frac {8}{27}$
$\frac {26}{63}×\frac {28}{39}×\frac {27}{64}$
$\frac {19}{13}×\frac {26}{57}×\frac {3}{4}$
$36×\frac {1}{54}×\frac {9}{4}$
$\frac {3}{4}×6×\frac {5}{18}$
$\frac {7}{8}×20×8$
$\frac {3}{16}×\frac {3}{4}×\frac {8}{27}$
$\frac {26}{63}×\frac {28}{39}×\frac {27}{64}$
$\frac {19}{13}×\frac {26}{57}×\frac {3}{4}$
$36×\frac {1}{54}×\frac {9}{4}$
$\frac {3}{4}×6×\frac {5}{18}$
答案
1. 计算$\frac{7}{8}×20×8$:
解:根据乘法交换律$a× b× c = a× c× b$,则$\frac{7}{8}×20×8=\frac{7}{8}×8×20$。
因为$\frac{7}{8}×8 = 7$,所以$7×20 = 140$。
2. 计算$\frac{3}{16}×\frac{3}{4}×\frac{8}{27}$:
解:根据乘法结合律$(a× b)× c=a×(b× c)$,$\frac{3}{16}×\frac{3}{4}×\frac{8}{27}=\frac{3}{16}×(\frac{3}{4}×\frac{8}{27})$。
先算$\frac{3}{4}×\frac{8}{27}=\frac{3×8}{4×27}=\frac{2}{9}$,再算$\frac{3}{16}×\frac{2}{9}=\frac{3×2}{16×9}=\frac{1}{24}$。
3. 计算$\frac{26}{63}×\frac{28}{39}×\frac{27}{64}$:
解:$\frac{26}{63}×\frac{28}{39}×\frac{27}{64}=\frac{26×28×27}{63×39×64}$。
约分:$26$和$39$约,$26÷13 = 2$,$39÷13 = 3$;$28$和$63$约,$28÷7 = 4$,$63÷7 = 9$;$27$和$9$约,$27÷9 = 3$。
则$\frac{2×4×3}{9×3×64}=\frac{24}{1728}=\frac{1}{72}$。
4. 计算$\frac{19}{13}×\frac{26}{57}×\frac{3}{4}$:
解:$\frac{19}{13}×\frac{26}{57}×\frac{3}{4}=\frac{19×26×3}{13×57×4}$。
约分:$19$和$57$约,$57÷19 = 3$;$26$和$13$约,$26÷13 = 2$。
则$\frac{2×2×3}{3×4}=\frac{12}{12}=1$。
5. 计算$36×\frac{1}{54}×\frac{9}{4}$:
解:$36×\frac{1}{54}×\frac{9}{4}=\frac{36×1×9}{54×4}$。
约分:$36$和$54$约,$36÷18 = 2$,$54÷18 = 3$;$9$和$3$约,$9÷3 = 3$。
则$\frac{2×1×3}{4}=\frac{6}{4}=\frac{3}{2}$。
6. 计算$\frac{3}{4}×6×\frac{5}{18}$:
解:$\frac{3}{4}×6×\frac{5}{18}=\frac{3×6×5}{4×18}$。
约分:$6$和$18$约,$6÷6 = 1$,$18÷6 = 3$;$3$和$3$约。
则$\frac{1×1×5}{4}=\frac{5}{4}$。
综上,答案依次为$140$;$\frac{1}{24}$;$\frac{1}{72}$;$1$;$\frac{3}{2}$;$\frac{5}{4}$。
解:根据乘法交换律$a× b× c = a× c× b$,则$\frac{7}{8}×20×8=\frac{7}{8}×8×20$。
因为$\frac{7}{8}×8 = 7$,所以$7×20 = 140$。
2. 计算$\frac{3}{16}×\frac{3}{4}×\frac{8}{27}$:
解:根据乘法结合律$(a× b)× c=a×(b× c)$,$\frac{3}{16}×\frac{3}{4}×\frac{8}{27}=\frac{3}{16}×(\frac{3}{4}×\frac{8}{27})$。
先算$\frac{3}{4}×\frac{8}{27}=\frac{3×8}{4×27}=\frac{2}{9}$,再算$\frac{3}{16}×\frac{2}{9}=\frac{3×2}{16×9}=\frac{1}{24}$。
3. 计算$\frac{26}{63}×\frac{28}{39}×\frac{27}{64}$:
解:$\frac{26}{63}×\frac{28}{39}×\frac{27}{64}=\frac{26×28×27}{63×39×64}$。
约分:$26$和$39$约,$26÷13 = 2$,$39÷13 = 3$;$28$和$63$约,$28÷7 = 4$,$63÷7 = 9$;$27$和$9$约,$27÷9 = 3$。
则$\frac{2×4×3}{9×3×64}=\frac{24}{1728}=\frac{1}{72}$。
4. 计算$\frac{19}{13}×\frac{26}{57}×\frac{3}{4}$:
解:$\frac{19}{13}×\frac{26}{57}×\frac{3}{4}=\frac{19×26×3}{13×57×4}$。
约分:$19$和$57$约,$57÷19 = 3$;$26$和$13$约,$26÷13 = 2$。
则$\frac{2×2×3}{3×4}=\frac{12}{12}=1$。
5. 计算$36×\frac{1}{54}×\frac{9}{4}$:
解:$36×\frac{1}{54}×\frac{9}{4}=\frac{36×1×9}{54×4}$。
约分:$36$和$54$约,$36÷18 = 2$,$54÷18 = 3$;$9$和$3$约,$9÷3 = 3$。
则$\frac{2×1×3}{4}=\frac{6}{4}=\frac{3}{2}$。
6. 计算$\frac{3}{4}×6×\frac{5}{18}$:
解:$\frac{3}{4}×6×\frac{5}{18}=\frac{3×6×5}{4×18}$。
约分:$6$和$18$约,$6÷6 = 1$,$18÷6 = 3$;$3$和$3$约。
则$\frac{1×1×5}{4}=\frac{5}{4}$。
综上,答案依次为$140$;$\frac{1}{24}$;$\frac{1}{72}$;$1$;$\frac{3}{2}$;$\frac{5}{4}$。
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