用简便方法计算
$125×(\frac{3}{5}+\frac{2}{25})$
$(\frac{5}{7}-\frac{1}{5})×35$
$\frac{5}{9}×\frac{5}{13}+\frac{4}{9}×\frac{5}{13}$
$\frac{1}{2}×9+\frac{1}{2}$
$125×(\frac{3}{5}+\frac{2}{25})$
85
$(\frac{5}{7}-\frac{1}{5})×35$
18
$\frac{5}{9}×\frac{5}{13}+\frac{4}{9}×\frac{5}{13}$
$\frac{5}{13}$
$\frac{1}{2}×9+\frac{1}{2}$
5
答案:
解析:
这些题目都是关于分数的四则运算,特别是利用乘法分配律进行简便计算。
答案:
1.
$125 × \left( \frac{3}{5} + \frac{2}{25} \right)$
$= 125 × \frac{3}{5} + 125 × \frac{2}{25}$
$= 75 + 10$
$= 85$
2.
$\left( \frac{5}{7} - \frac{1}{5} \right) × 35$
$= \frac{5}{7} × 35 - \frac{1}{5} × 35$
$= 25 - 7$
$= 18$
3.
$\frac{5}{9} × \frac{5}{13} + \frac{4}{9} × \frac{5}{13}$
$= \frac{5}{13} × \left( \frac{5}{9} + \frac{4}{9} \right)$
$= \frac{5}{13} × 1$
$= \frac{5}{13}$
4.
$\frac{1}{2} × 9 + \frac{1}{2}$
$= \frac{1}{2} × (9 + 1)$
$= \frac{1}{2} × 10$
$= 5$
这些题目都是关于分数的四则运算,特别是利用乘法分配律进行简便计算。
答案:
1.
$125 × \left( \frac{3}{5} + \frac{2}{25} \right)$
$= 125 × \frac{3}{5} + 125 × \frac{2}{25}$
$= 75 + 10$
$= 85$
2.
$\left( \frac{5}{7} - \frac{1}{5} \right) × 35$
$= \frac{5}{7} × 35 - \frac{1}{5} × 35$
$= 25 - 7$
$= 18$
3.
$\frac{5}{9} × \frac{5}{13} + \frac{4}{9} × \frac{5}{13}$
$= \frac{5}{13} × \left( \frac{5}{9} + \frac{4}{9} \right)$
$= \frac{5}{13} × 1$
$= \frac{5}{13}$
4.
$\frac{1}{2} × 9 + \frac{1}{2}$
$= \frac{1}{2} × (9 + 1)$
$= \frac{1}{2} × 10$
$= 5$
$\frac{1}{4}×\frac{1}{5}=$
$\frac{7}{10}×\frac{5}{28}=$
$\frac{3}{5}+\frac{2}{25}=$
$\frac{14}{15}-\frac{4}{15}=$
$34×\frac{8}{17}=$
$\frac{7}{26}×\frac{2}{21}=$
$\frac{3}{10}+\frac{3}{5}=$
$120×\frac{1}{5}=$
$0.6×\frac{5}{6}=$
$\frac{3}{4}×\frac{2}{15}=$
$\frac{1}{2}+\frac{5}{24}=$
$\frac{2}{7}×28=$
$3.2×\frac{5}{16}=$
$2.7×\frac{1}{3}=$
$\frac{2}{3}×120=$
$\frac{3}{22}×66=$
$\frac{17}{18}×36=$
$1\frac{1}{4}+\frac{1}{4}=$
$\frac{1}{20}$
$\frac{7}{10}×\frac{5}{28}=$
$\frac{1}{8}$
$\frac{3}{5}+\frac{2}{25}=$
$\frac{17}{25}$
$\frac{14}{15}-\frac{4}{15}=$
$\frac{2}{3}$
$34×\frac{8}{17}=$
16
$\frac{7}{26}×\frac{2}{21}=$
$\frac{1}{39}$
$\frac{3}{10}+\frac{3}{5}=$
$\frac{9}{10}$
$120×\frac{1}{5}=$
24
$0.6×\frac{5}{6}=$
0.5
$\frac{3}{4}×\frac{2}{15}=$
$\frac{1}{10}$
$\frac{1}{2}+\frac{5}{24}=$
$\frac{17}{24}$
$\frac{2}{7}×28=$
8
$3.2×\frac{5}{16}=$
1
$2.7×\frac{1}{3}=$
0.9
$\frac{2}{3}×120=$
80
$\frac{3}{22}×66=$
9
$\frac{17}{18}×36=$
34
$1\frac{1}{4}+\frac{1}{4}=$
$1\frac{1}{2}$
答案:
$\frac{1}{4}×\frac{1}{5}=\frac{1×1}{4×5}=\frac{1}{20}$
$\frac{7}{10}×\frac{5}{28}=\frac{7×5}{10×28}=\frac{1}{8}$
$\frac{3}{5}+\frac{2}{25}=\frac{15}{25}+\frac{2}{25}=\frac{17}{25}$
$\frac{14}{15}-\frac{4}{15}=\frac{10}{15}=\frac{2}{3}$
$34×\frac{8}{17}=16$
$\frac{7}{26}×\frac{2}{21}=\frac{7×2}{26×21}=\frac{1}{39}$
$\frac{3}{10}+\frac{3}{5}=\frac{3}{10}+\frac{6}{10}=\frac{9}{10}$
$120×\frac{1}{5}=24$
$0.6×\frac{5}{6}=0.5$
$\frac{3}{4}×\frac{2}{15}=\frac{3×2}{4×15}=\frac{1}{10}$
$\frac{1}{2}+\frac{5}{24}=\frac{12}{24}+\frac{5}{24}=\frac{17}{24}$
$\frac{2}{7}×28=8$
$3.2×\frac{5}{16}=1$
$2.7×\frac{1}{3}=0.9$
$\frac{2}{3}×120=80$
$\frac{3}{22}×66=9$
$\frac{17}{18}×36=34$
$1\frac{1}{4}+\frac{1}{4}=1\frac{2}{4}=1\frac{1}{2}$
$\frac{7}{10}×\frac{5}{28}=\frac{7×5}{10×28}=\frac{1}{8}$
$\frac{3}{5}+\frac{2}{25}=\frac{15}{25}+\frac{2}{25}=\frac{17}{25}$
$\frac{14}{15}-\frac{4}{15}=\frac{10}{15}=\frac{2}{3}$
$34×\frac{8}{17}=16$
$\frac{7}{26}×\frac{2}{21}=\frac{7×2}{26×21}=\frac{1}{39}$
$\frac{3}{10}+\frac{3}{5}=\frac{3}{10}+\frac{6}{10}=\frac{9}{10}$
$120×\frac{1}{5}=24$
$0.6×\frac{5}{6}=0.5$
$\frac{3}{4}×\frac{2}{15}=\frac{3×2}{4×15}=\frac{1}{10}$
$\frac{1}{2}+\frac{5}{24}=\frac{12}{24}+\frac{5}{24}=\frac{17}{24}$
$\frac{2}{7}×28=8$
$3.2×\frac{5}{16}=1$
$2.7×\frac{1}{3}=0.9$
$\frac{2}{3}×120=80$
$\frac{3}{22}×66=9$
$\frac{17}{18}×36=34$
$1\frac{1}{4}+\frac{1}{4}=1\frac{2}{4}=1\frac{1}{2}$
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