1. $\frac{5}{8} × \frac{1}{3} = \frac{□ × □}{□ × □} = \frac{□}{□}$ $\frac{3}{5} × \frac{2}{7} = \frac{□ × □}{□ × □} = \frac{□}{□}$
$\frac{2}{5} × 4 = \frac{2}{5} × \frac{4}{□} = \frac{□ × □}{□ × □} = \frac{□}{□}$
$8 × \frac{5}{6} = \frac{8}{□} × \frac{5}{6} = \frac{□ × □}{□ × □} = \frac{□}{□}$
$\frac{2}{5} × 4 = \frac{2}{5} × \frac{4}{□} = \frac{□ × □}{□ × □} = \frac{□}{□}$
$8 × \frac{5}{6} = \frac{8}{□} × \frac{5}{6} = \frac{□ × □}{□ × □} = \frac{□}{□}$
答案
$\frac{5×1}{8×3} = \frac{5}{24}$;$\frac{3×2}{5×7} = \frac{6}{35}$;$\frac{2}{5} × \frac{4}{1} = \frac{2×4}{5×1} = \frac{8}{5}$;$\frac{8}{1} × \frac{5}{6} = \frac{8×5}{1×6} = \frac{20}{3}$
解析
分数乘分数,分子相乘的积作分子,分母相乘的积作分母;整数乘分数,先把整数看成分母是1的分数,再按分数乘分数的方法计算。
$\frac{5}{8} × \frac{1}{3} = \frac{5×1}{8×3} = \frac{5}{24}$;
$\frac{3}{5} × \frac{2}{7} = \frac{3×2}{5×7} = \frac{6}{35}$;
$\frac{2}{5} × 4 = \frac{2}{5} × \frac{4}{1} = \frac{2×4}{5×1} = \frac{8}{5}$;
$8 × \frac{5}{6} = \frac{8}{1} × \frac{5}{6} = \frac{8×5}{1×6} = \frac{40}{6} = \frac{20}{3}$
$\frac{5}{8} × \frac{1}{3} = \frac{5×1}{8×3} = \frac{5}{24}$;
$\frac{3}{5} × \frac{2}{7} = \frac{3×2}{5×7} = \frac{6}{35}$;
$\frac{2}{5} × 4 = \frac{2}{5} × \frac{4}{1} = \frac{2×4}{5×1} = \frac{8}{5}$;
$8 × \frac{5}{6} = \frac{8}{1} × \frac{5}{6} = \frac{8×5}{1×6} = \frac{40}{6} = \frac{20}{3}$
2. 计算。
$\frac{3}{4} × \frac{8}{9}$ $\frac{7}{12} × \frac{3}{5}$ $\frac{7}{8} × \frac{5}{6}$
$\frac{5}{12} × \frac{3}{10}$ $\frac{4}{12} × \frac{5}{8}$ $\frac{4}{9} × \frac{27}{28}$
$\frac{5}{14} × \frac{21}{25}$ $\frac{5}{36} × \frac{9}{15}$ $\frac{13}{24} × \frac{12}{39}$
$\frac{3}{4} × \frac{8}{9}$ $\frac{7}{12} × \frac{3}{5}$ $\frac{7}{8} × \frac{5}{6}$
$\frac{5}{12} × \frac{3}{10}$ $\frac{4}{12} × \frac{5}{8}$ $\frac{4}{9} × \frac{27}{28}$
$\frac{5}{14} × \frac{21}{25}$ $\frac{5}{36} × \frac{9}{15}$ $\frac{13}{24} × \frac{12}{39}$
答案
$=\frac {3×8}{4×9}$
$=\frac {2}{3}$
$=\frac {7×3}{12×5}$
$=\frac {7}{20}$
$=\frac {7×5}{8×6}$
$=\frac {35}{48}$
$=\frac {5×3}{12×10}$
$=\frac {1}{8}$
$=\frac {4×5}{12×8}$
$=\frac {5}{24}$
$=\frac {4×27}{9×28}$
$=\frac {3}{7}$
$=\frac {5×21}{14×25}$
$=\frac {3}{10}$
$=\frac {5×9}{36×15}$
$=\frac {1}{12}$
$=\frac {13×12}{24×39}$
$=\frac {1}{6}$
$=\frac {2}{3}$
$=\frac {7×3}{12×5}$
$=\frac {7}{20}$
$=\frac {7×5}{8×6}$
$=\frac {35}{48}$
$=\frac {5×3}{12×10}$
$=\frac {1}{8}$
$=\frac {4×5}{12×8}$
$=\frac {5}{24}$
$=\frac {4×27}{9×28}$
$=\frac {3}{7}$
$=\frac {5×21}{14×25}$
$=\frac {3}{10}$
$=\frac {5×9}{36×15}$
$=\frac {1}{12}$
$=\frac {13×12}{24×39}$
$=\frac {1}{6}$
3. 从$\frac{5}{6}$,$\frac{4}{5}$,$\frac{3}{8}$和$\frac{2}{3}$这四个分数中选两个,先组成乘法算式,再计算。
答案
$\frac {5}{6}×\frac {4}{5}=\frac {2}{3}$
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