2025年计算素养提升浙江教育出版社六年级数学上册北师大版
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1. 直接写出得数。
$0.75+\frac {1}{2}$
$\frac {1}{3}+\frac {1}{2}$
$\frac {3}{4}-\frac {5}{8}$
$1-\frac {1}{5}-\frac {4}{5}$
$\frac {1}{14}×\frac {7}{3}$
$\frac {7}{10}÷\frac {4}{5}$
$\frac {8}{9}÷\frac {1}{3}$
$(\frac {3}{4}+\frac {1}{2})×8$
$12÷2.4$
$3.5÷\frac {1}{6}$
$0.69÷\frac {23}{30}$
$3.14×2.5×4$
$\frac {1}{8}÷\frac {3}{4}$
$4.8×\frac {5}{16}$
$0.16÷\frac {4}{15}$
$3.14÷\frac {1}{5}$
$\frac {1}{4}+\frac {3}{4}÷3$
$127+28$
$\frac {3}{8}×5$
$\frac {1}{3}÷\frac {6}{7}$
$\frac {3}{20}÷\frac {3}{4}$
$1÷\frac {1}{3}+\frac {1}{3}÷1$
$32÷1000$
$0×\frac {7}{16}$
$0.39×\frac {2}{3}$
$\frac {3}{5}×\frac {5}{2}$
$\frac {8}{9}×\frac {9}{8}×\frac {11}{8}$
答案：$\frac{5}{4}$，$\frac{5}{6}$，$\frac{1}{8}$，0，$\frac{1}{6}$，$\frac{7}{8}$，$\frac{8}{3}$，10，5，21，0.9，31.4，$\frac{1}{6}$，1.5，0.6，15.7，$\frac{1}{2}$，155，$\frac{15}{8}$，$\frac{7}{18}$，$\frac{1}{5}$，$3\frac{1}{3}$，0.032，0，0.26，$\frac{3}{2}$，$\frac{11}{8}$
解析：
$0.75+\frac{1}{2}=0.75 + 0.5=1.25=\frac{5}{4}$
$\frac{1}{3}+\frac{1}{2}=\frac{2}{6}+\frac{3}{6}=\frac{5}{6}$
$\frac{3}{4}-\frac{5}{8}=\frac{6}{8}-\frac{5}{8}=\frac{1}{8}$
$1-\frac{1}{5}-\frac{4}{5}=1-(\frac{1}{5}+\frac{4}{5})=1 - 1=0$
$\frac{1}{14}×\frac{7}{3}=\frac{1×7}{14×3}=\frac{1}{6}$
$\frac{7}{10}÷\frac{4}{5}=\frac{7}{10}×\frac{5}{4}=\frac{7}{8}$
$\frac{8}{9}÷\frac{1}{3}=\frac{8}{9}×3=\frac{8}{3}$
$(\frac{3}{4}+\frac{1}{2})×8=(\frac{3}{4}+\frac{2}{4})×8=\frac{5}{4}×8 = 10$
$12÷2.4 = 5$
$3.5÷\frac{1}{6}=3.5×6 = 21$
$0.69÷\frac{23}{30}=0.69×\frac{30}{23}=0.03×30 = 0.9$
$3.14×2.5×4=3.14×(2.5×4)=3.14×10 = 31.4$
$\frac{1}{8}÷\frac{3}{4}=\frac{1}{8}×\frac{4}{3}=\frac{1}{6}$
$4.8×\frac{5}{16}=0.3×5 = 1.5$
$0.16÷\frac{4}{15}=0.16×\frac{15}{4}=0.04×15 = 0.6$
$3.14÷\frac{1}{5}=3.14×5 = 15.7$
$\frac{1}{4}+\frac{3}{4}÷3=\frac{1}{4}+\frac{3}{4}×\frac{1}{3}=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}$
$127 + 28 = 155$
$\frac{3}{8}×5=\frac{15}{8}$
$\frac{1}{3}÷\frac{6}{7}=\frac{1}{3}×\frac{7}{6}=\frac{7}{18}$
$\frac{3}{20}÷\frac{3}{4}=\frac{3}{20}×\frac{4}{3}=\frac{1}{5}$
$1÷\frac{1}{3}+\frac{1}{3}÷1=3+\frac{1}{3}=3\frac{1}{3}$
$32÷1000 = 0.032$
$0×\frac{7}{16}=0$
$0.39×\frac{2}{3}=0.13×2 = 0.26$
$\frac{3}{5}×\frac{5}{2}=\frac{3}{2}$
$\frac{8}{9}×\frac{9}{8}×\frac{11}{8}=1×\frac{11}{8}=\frac{11}{8}$
2. 脱式计算。（能简算的要简算）
$\frac {4}{5}÷\frac {8}{15}×\frac {7}{12}$
$\frac {3}{8}×\frac {3}{4}+\frac {5}{8}÷\frac {4}{3}$
$\frac {6}{11}×(\frac {1}{6}+\frac {5}{6}÷\frac {5}{4})$
$(\frac {7}{12}+\frac {5}{8}-\frac {5}{6})×24$
$\frac {10}{11}÷(\frac {4}{11}×\frac {2}{5})$
$65÷(\frac {13}{15}÷\frac {3}{5})$
答案：$\frac{7}{8}$，$\frac{3}{4}$，$\frac{6}{11}$，11，$\frac{25}{4}$，45
解析：
$\frac{4}{5}÷\frac{8}{15}×\frac{7}{12}$
$=\frac{4}{5}×\frac{15}{8}×\frac{7}{12}$
$=\frac{3}{2}×\frac{7}{12}$
$=\frac{7}{8}$
$\frac{3}{8}×\frac{3}{4}+\frac{5}{8}÷\frac{4}{3}$
$=\frac{3}{8}×\frac{3}{4}+\frac{5}{8}×\frac{3}{4}$
$=(\frac{3}{8}+\frac{5}{8})×\frac{3}{4}$
$=1×\frac{3}{4}$
$=\frac{3}{4}$
$\frac{6}{11}×(\frac{1}{6}+\frac{5}{6}÷\frac{5}{4})$
$=\frac{6}{11}×(\frac{1}{6}+\frac{5}{6}×\frac{4}{5})$
$=\frac{6}{11}×(\frac{1}{6}+\frac{4}{6})$
$=\frac{6}{11}×1$
$=\frac{6}{11}$
$(\frac{7}{12}+\frac{5}{8}-\frac{5}{6})×24$
$=\frac{7}{12}×24+\frac{5}{8}×24-\frac{5}{6}×24$
$=14 + 15 - 20$
$=11$
$\frac{10}{11}÷(\frac{4}{11}×\frac{2}{5})$
$=\frac{10}{11}÷\frac{8}{55}$
$=\frac{10}{11}×\frac{55}{8}$
$=\frac{25}{4}$
$65÷(\frac{13}{15}÷\frac{3}{5})$
$=65÷(\frac{13}{15}×\frac{5}{3})$
$=65÷\frac{13}{9}$
$=65×\frac{9}{13}$
$=45$
3. 解方程。
$x+\frac {3}{5}x=24$
$\frac {7}{8}x-\frac {3}{4}x=2.5$
$\frac {2}{21}+\frac {5}{7}x=\frac {17}{21}$
答案：x = 15，x = 20，x = 1
解析：
$x+\frac{3}{5}x = 24$
$\frac{8}{5}x = 24$
$x=24×\frac{5}{8}$
$x = 15$
$\frac{7}{8}x-\frac{3}{4}x = 2.5$
$\frac{7}{8}x-\frac{6}{8}x = 2.5$
$\frac{1}{8}x = 2.5$
$x=2.5×8$
$x = 20$
$\frac{2}{21}+\frac{5}{7}x=\frac{17}{21}$
$\frac{5}{7}x=\frac{17}{21}-\frac{2}{21}$
$\frac{5}{7}x=\frac{15}{21}$
$\frac{5}{7}x=\frac{5}{7}$
$x = 1$
