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1. $ 3.25×4 + 1\frac {4}{11} = $______
答案
$14\frac{4}{11}$
解析
$3.25×4 + 1\frac{4}{11}$
$=13 + 1\frac{4}{11}$
$=14\frac{4}{11}$
$=13 + 1\frac{4}{11}$
$=14\frac{4}{11}$
2. $ 9.25×9.9 + 92.5\% = $______
答案
92.5
解析
$9.25×9.9 + 92.5\%$
$=9.25×9.9 + 0.925$
$=9.25×9.9 + 9.25×0.1$
$=9.25×(9.9 + 0.1)$
$=9.25×10$
$=92.5$
92.5
$=9.25×9.9 + 0.925$
$=9.25×9.9 + 9.25×0.1$
$=9.25×(9.9 + 0.1)$
$=9.25×10$
$=92.5$
92.5
3. $ 2.3×\frac {6}{5} + 3.2÷\frac {5}{6} = $______
答案
6.6
解析
$2.3×\frac{6}{5}+3.2÷\frac{5}{6}$
$=2.3×\frac{6}{5}+3.2×\frac{6}{5}$
$=(2.3 + 3.2)×\frac{6}{5}$
$=5.5×\frac{6}{5}$
$=1.1×6$
$=6.6$
$=2.3×\frac{6}{5}+3.2×\frac{6}{5}$
$=(2.3 + 3.2)×\frac{6}{5}$
$=5.5×\frac{6}{5}$
$=1.1×6$
$=6.6$
4. $ 2.5×(3.8 - \frac {4}{5})÷\frac {5}{8} = $______
答案
12
解析
$2.5×(3.8 - \frac{4}{5})÷\frac{5}{8}$
$=2.5×(3.8 - 0.8)×\frac{8}{5}$
$=2.5×3×\frac{8}{5}$
$=7.5×\frac{8}{5}$
$=12$
$=2.5×(3.8 - 0.8)×\frac{8}{5}$
$=2.5×3×\frac{8}{5}$
$=7.5×\frac{8}{5}$
$=12$
5. $ 2.1 + 4\frac {7}{10}÷(3\frac {1}{12} - 1.125) = $____
答案
4.5
解析
$2.1 + 4\frac{7}{10}÷(3\frac{1}{12} - 1.125)$
$=2.1 + 4.7÷(3\frac{1}{12} - 1\frac{1}{8})$
$=2.1 + 4.7÷(\frac{37}{12} - \frac{9}{8})$
$=2.1 + 4.7÷(\frac{74}{24} - \frac{27}{24})$
$=2.1 + 4.7÷\frac{47}{24}$
$=2.1 + 4.7×\frac{24}{47}$
$=2.1 + 2.4$
$=4.5$
$=2.1 + 4.7÷(3\frac{1}{12} - 1\frac{1}{8})$
$=2.1 + 4.7÷(\frac{37}{12} - \frac{9}{8})$
$=2.1 + 4.7÷(\frac{74}{24} - \frac{27}{24})$
$=2.1 + 4.7÷\frac{47}{24}$
$=2.1 + 4.7×\frac{24}{47}$
$=2.1 + 2.4$
$=4.5$
6. $ 3.9×\frac {4}{5} + 1.1÷1\frac {1}{4} + 75\% = $____
答案
$4\frac{3}{4}$
解析
$3.9×\frac{4}{5} + 1.1÷1\frac{1}{4} + 75\%$
$=3.9×\frac{4}{5} + 1.1×\frac{4}{5} + \frac{3}{4}$
$=(3.9 + 1.1)×\frac{4}{5} + \frac{3}{4}$
$=5×\frac{4}{5} + \frac{3}{4}$
$=4 + \frac{3}{4}$
$=4\frac{3}{4}$
$=3.9×\frac{4}{5} + 1.1×\frac{4}{5} + \frac{3}{4}$
$=(3.9 + 1.1)×\frac{4}{5} + \frac{3}{4}$
$=5×\frac{4}{5} + \frac{3}{4}$
$=4 + \frac{3}{4}$
$=4\frac{3}{4}$
7. $ 6432÷16 - 35.7÷4.2 $
答案
393.5
解析
$6432÷16 - 35.7÷4.2$
$=402 - 8.5$
$=393.5$
$=402 - 8.5$
$=393.5$
8. $ \frac {3}{4}×64 + 75\% ×37 - 0.75 $
答案
75
解析
$\frac{3}{4} × 64 + 75\% × 37 - 0.75$
$=0.75×64 + 0.75×37 - 0.75×1$
$=0.75×(64 + 37 - 1)$
$=0.75×100$
$=75$
$=0.75×64 + 0.75×37 - 0.75×1$
$=0.75×(64 + 37 - 1)$
$=0.75×100$
$=75$
9. $ \frac {1}{2}÷(60\% ×\frac {10}{9})×\frac {8}{21} $
答案
$\frac{2}{7}$
解析
$\frac{1}{2}÷(60\% ×\frac {10}{9})×\frac {8}{21}$
$=\frac{1}{2}÷(\frac{3}{5}×\frac{10}{9})×\frac{8}{21}$
$=\frac{1}{2}÷\frac{2}{3}×\frac{8}{21}$
$=\frac{1}{2}×\frac{3}{2}×\frac{8}{21}$
$=\frac{3}{4}×\frac{8}{21}$
$=\frac{2}{7}$
$=\frac{1}{2}÷(\frac{3}{5}×\frac{10}{9})×\frac{8}{21}$
$=\frac{1}{2}÷\frac{2}{3}×\frac{8}{21}$
$=\frac{1}{2}×\frac{3}{2}×\frac{8}{21}$
$=\frac{3}{4}×\frac{8}{21}$
$=\frac{2}{7}$
10. $ 26 + 24×(\frac {5}{6} - \frac {3}{8}) $
答案
37
解析
$26 + 24×(\frac{5}{6} - \frac{3}{8})$
$=26 + 24×\frac{5}{6} - 24×\frac{3}{8}$
$=26 + 20 - 9$
$=46 - 9$
$=37$
$=26 + 24×\frac{5}{6} - 24×\frac{3}{8}$
$=26 + 20 - 9$
$=46 - 9$
$=37$
11. $ 1 - \frac {5}{8}÷\frac {15}{8} - \frac {3}{10} $
答案
$\frac{11}{30}$
解析
$1 - \frac{5}{8} ÷ \frac{15}{8} - \frac{3}{10}$
$= 1 - \frac{5}{8} × \frac{8}{15} - \frac{3}{10}$
$= 1 - \frac{1}{3} - \frac{3}{10}$
$= \frac{30}{30} - \frac{10}{30} - \frac{9}{30}$
$= \frac{11}{30}$
$= 1 - \frac{5}{8} × \frac{8}{15} - \frac{3}{10}$
$= 1 - \frac{1}{3} - \frac{3}{10}$
$= \frac{30}{30} - \frac{10}{30} - \frac{9}{30}$
$= \frac{11}{30}$
12. $ \frac {5}{8}÷[(\frac {3}{4} - \frac {2}{9})×\frac {15}{19}] $
答案
$\frac{3}{2}$
解析
$\frac{5}{8}÷\left[\left(\frac{3}{4}-\frac{2}{9}\right)×\frac{15}{19}\right]$
$=\frac{5}{8}÷\left[\left(\frac{27}{36}-\frac{8}{36}\right)×\frac{15}{19}\right]$
$=\frac{5}{8}÷\left[\frac{19}{36}×\frac{15}{19}\right]$
$=\frac{5}{8}÷\frac{15}{36}$
$=\frac{5}{8}×\frac{36}{15}$
$=\frac{3}{2}$
$=\frac{5}{8}÷\left[\left(\frac{27}{36}-\frac{8}{36}\right)×\frac{15}{19}\right]$
$=\frac{5}{8}÷\left[\frac{19}{36}×\frac{15}{19}\right]$
$=\frac{5}{8}÷\frac{15}{36}$
$=\frac{5}{8}×\frac{36}{15}$
$=\frac{3}{2}$
13. $ 2100÷[56×(\frac {3}{7} - \frac {3}{8})] $
答案
700
解析
$2100÷[56×(\frac{3}{7}-\frac{3}{8})]$
$=2100÷[56×\frac{3}{7}-56×\frac{3}{8}]$
$=2100÷[24 - 21]$
$=2100÷3$
$=700$
$=2100÷[56×\frac{3}{7}-56×\frac{3}{8}]$
$=2100÷[24 - 21]$
$=2100÷3$
$=700$
14. $ (\frac {3}{13}×6 - 8×\frac {3}{26} + \frac {4}{39}÷\frac {1}{4})×13 $
答案
$11\frac{1}{3}$
解析
$(\frac{3}{13} × 6 - 8 × \frac{3}{26} + \frac{4}{39} ÷ \frac{1}{4}) × 13$
$=\frac{3}{13} × 6 × 13 - 8 × \frac{3}{26} × 13 + \frac{4}{39} × 4 × 13$
$=3 × 6 - 8 × 3 × \frac{1}{2} + \frac{4}{3} × 4$
$=18 - 12 + \frac{16}{3}$
$=6 + \frac{16}{3}$
$=\frac{18}{3} + \frac{16}{3}$
$=\frac{34}{3}$
$=11\frac{1}{3}$
$=\frac{3}{13} × 6 × 13 - 8 × \frac{3}{26} × 13 + \frac{4}{39} × 4 × 13$
$=3 × 6 - 8 × 3 × \frac{1}{2} + \frac{4}{3} × 4$
$=18 - 12 + \frac{16}{3}$
$=6 + \frac{16}{3}$
$=\frac{18}{3} + \frac{16}{3}$
$=\frac{34}{3}$
$=11\frac{1}{3}$
