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分数、百分数四则混合运算(含简便计算)
拍照批改
$48×(\frac {5}{6}+\frac {1}{4}-\frac {7}{8})$
$3.6÷\frac {3}{7}×\frac {1}{4}$
$\frac {5}{8}×[\frac {3}{5}-(\frac {7}{15}-\frac {2}{5})]$
$\frac {5}{7}×\frac {3}{4}+\frac {1}{4}÷\frac {7}{5}$
$\frac {1}{8}×[\frac {1}{2}÷(\frac {3}{5}×\frac {10}{9})]$
$\frac {2}{7}+\frac {2}{7}×27$
$\frac {5}{8}÷\frac {3}{4}-\frac {5}{9}×\frac {3}{5}$
$25+5÷(\frac {13}{15}-\frac {2}{3})$
$\frac {7}{8}-\frac {1}{9}+\frac {1}{8}-\frac {2}{9}$
$\frac {5}{7}×16.31-2.31÷\frac {7}{5}$
$\frac {3}{8}÷(\frac {3}{5}+\frac {3}{20})$
$\frac {8}{9}×[\frac {3}{4}+(\frac {13}{16}-\frac {3}{4})]$
$(\frac {2}{9}+\frac {2}{19})×4+\frac {11}{19}$
$\frac {8}{9}×(\frac {1}{4}+\frac {2}{5})÷\frac {13}{20}$
$\frac {1}{14}+\frac {7}{29}×\frac {3}{7}+\frac {13}{14}$
$64×\frac {1}{8}×25+25$
$(\frac {1}{9}+\frac {5}{6}-\frac {7}{12})÷\frac {1}{36}$
$50\% ÷\frac {5}{6}×\frac {2}{3}÷\frac {4}{5}$
$\frac {2}{9}+50\% ÷\frac {4}{5}+\frac {3}{8}$
$80\% ÷[\frac {5}{4}÷(\frac {2}{3}-\frac {1}{2})]$
$11\% ×1.8+8.2×0.11$
$3.64÷4+4.36×25\% $
$(1-1\% ×70)÷\frac {2}{7}$
$(1-37.5\% -25\% )÷25\% $
$\frac {3}{4}×40\% +0.75×\frac {3}{5}$
$1÷(\frac {1}{5}+\frac {1}{3})×16\% $
$(1+25\% )÷(1-25\% )$
$(\frac {3}{4}+\frac {2}{23})×8+\frac {7}{23}$
$2-\frac {6}{13}÷\frac {9}{26}-\frac {2}{3}$
$(2+\frac {1}{3})÷(2-\frac {1}{3})$
拍照批改
$48×(\frac {5}{6}+\frac {1}{4}-\frac {7}{8})$
$3.6÷\frac {3}{7}×\frac {1}{4}$
$\frac {5}{8}×[\frac {3}{5}-(\frac {7}{15}-\frac {2}{5})]$
$\frac {5}{7}×\frac {3}{4}+\frac {1}{4}÷\frac {7}{5}$
$\frac {1}{8}×[\frac {1}{2}÷(\frac {3}{5}×\frac {10}{9})]$
$\frac {2}{7}+\frac {2}{7}×27$
$\frac {5}{8}÷\frac {3}{4}-\frac {5}{9}×\frac {3}{5}$
$25+5÷(\frac {13}{15}-\frac {2}{3})$
$\frac {7}{8}-\frac {1}{9}+\frac {1}{8}-\frac {2}{9}$
$\frac {5}{7}×16.31-2.31÷\frac {7}{5}$
$\frac {3}{8}÷(\frac {3}{5}+\frac {3}{20})$
$\frac {8}{9}×[\frac {3}{4}+(\frac {13}{16}-\frac {3}{4})]$
$(\frac {2}{9}+\frac {2}{19})×4+\frac {11}{19}$
$\frac {8}{9}×(\frac {1}{4}+\frac {2}{5})÷\frac {13}{20}$
$\frac {1}{14}+\frac {7}{29}×\frac {3}{7}+\frac {13}{14}$
$64×\frac {1}{8}×25+25$
$(\frac {1}{9}+\frac {5}{6}-\frac {7}{12})÷\frac {1}{36}$
$50\% ÷\frac {5}{6}×\frac {2}{3}÷\frac {4}{5}$
$\frac {2}{9}+50\% ÷\frac {4}{5}+\frac {3}{8}$
$80\% ÷[\frac {5}{4}÷(\frac {2}{3}-\frac {1}{2})]$
$11\% ×1.8+8.2×0.11$
$3.64÷4+4.36×25\% $
$(1-1\% ×70)÷\frac {2}{7}$
$(1-37.5\% -25\% )÷25\% $
$\frac {3}{4}×40\% +0.75×\frac {3}{5}$
$1÷(\frac {1}{5}+\frac {1}{3})×16\% $
$(1+25\% )÷(1-25\% )$
$(\frac {3}{4}+\frac {2}{23})×8+\frac {7}{23}$
$2-\frac {6}{13}÷\frac {9}{26}-\frac {2}{3}$
$(2+\frac {1}{3})÷(2-\frac {1}{3})$
答案
1. 10 2. 2.1 3. $\frac{1}{3}$ 4. $\frac{5}{7}$ 5. $\frac{3}{32}$ 6. 8 7. $\frac{1}{2}$ 8. 50 9. $\frac{2}{3}$ 10. 10 11. $\frac{1}{2}$ 12. $\frac{13}{18}$ 13. $1\frac{8}{9}$ 14. $\frac{8}{9}$ 15. $1\frac{3}{29}$ 16. 225 17. 13 18. $\frac{1}{2}$ 19. $1\frac{2}{9}$ 20. $\frac{8}{75}$ 21. 1.1 22. 2 23. $\frac{21}{20}$ 24. 1.5 25. $\frac{3}{4}$ 26. $\frac{3}{10}$ 27. $\frac{5}{3}$ 28. 7 29. 0 30. $\frac{7}{5}$
解析
1. $48×(\frac {5}{6}+\frac {1}{4}-\frac {7}{8})$
$=48×\frac {5}{6}+48×\frac {1}{4}-48×\frac {7}{8}$
$=40 + 12 - 42$
$=10$
2. $3.6÷\frac {3}{7}×\frac {1}{4}$
$=3.6×\frac {7}{3}×\frac {1}{4}$
$=8.4×\frac {1}{4}$
$=2.1$
3. $\frac {5}{8}×[\frac {3}{5}-(\frac {7}{15}-\frac {2}{5})]$
$=\frac {5}{8}×[\frac {3}{5}-\frac {7}{15}+\frac {2}{5}]$
$=\frac {5}{8}×[(\frac {3}{5}+\frac {2}{5})-\frac {7}{15}]$
$=\frac {5}{8}×[1 - \frac {7}{15}]$
$=\frac {5}{8}×\frac {8}{15}$
$=\frac {1}{3}$
4. $\frac {5}{7}×\frac {3}{4}+\frac {1}{4}÷\frac {7}{5}$
$=\frac {5}{7}×\frac {3}{4}+\frac {1}{4}×\frac {5}{7}$
$=\frac {5}{7}×(\frac {3}{4}+\frac {1}{4})$
$=\frac {5}{7}×1$
$=\frac {5}{7}$
5. $\frac {1}{8}×[\frac {1}{2}÷(\frac {3}{5}×\frac {10}{9})]$
$=\frac {1}{8}×[\frac {1}{2}÷\frac {2}{3}]$
$=\frac {1}{8}×[\frac {1}{2}×\frac {3}{2}]$
$=\frac {1}{8}×\frac {3}{4}$
$=\frac {3}{32}$
6. $\frac {2}{7}+\frac {2}{7}×27$
$=\frac {2}{7}×(1 + 27)$
$=\frac {2}{7}×28$
$=8$
7. $\frac {5}{8}÷\frac {3}{4}-\frac {5}{9}×\frac {3}{5}$
$=\frac {5}{8}×\frac {4}{3}-\frac {1}{3}$
$=\frac {5}{6}-\frac {1}{3}$
$=\frac {5}{6}-\frac {2}{6}$
$=\frac {3}{6}$
$=\frac {1}{2}$
8. $25+5÷(\frac {13}{15}-\frac {2}{3})$
$=25 + 5÷(\frac {13}{15}-\frac {10}{15})$
$=25 + 5÷\frac {3}{15}$
$=25 + 5×5$
$=25 + 25$
$=50$
9. $\frac {7}{8}-\frac {1}{9}+\frac {1}{8}-\frac {2}{9}$
$=(\frac {7}{8}+\frac {1}{8}) - (\frac {1}{9}+\frac {2}{9})$
$=1 - \frac {3}{9}$
$=1 - \frac {1}{3}$
$=\frac {2}{3}$
10. $\frac {5}{7}×16.31-2.31÷\frac {7}{5}$
$=\frac {5}{7}×16.31 - 2.31×\frac {5}{7}$
$=\frac {5}{7}×(16.31 - 2.31)$
$=\frac {5}{7}×14$
$=10$
11. $\frac {3}{8}÷(\frac {3}{5}+\frac {3}{20})$
$=\frac {3}{8}÷(\frac {12}{20}+\frac {3}{20})$
$=\frac {3}{8}÷\frac {15}{20}$
$=\frac {3}{8}×\frac {20}{15}$
$=\frac {3}{8}×\frac {4}{3}$
$=\frac {1}{2}$
12. $\frac {8}{9}×[\frac {3}{4}+(\frac {13}{16}-\frac {3}{4})]$
$=\frac {8}{9}×[\frac {3}{4}-\frac {3}{4}+\frac {13}{16}]$
$=\frac {8}{9}×\frac {13}{16}$
$=\frac {13}{18}$
13. $(\frac {2}{9}+\frac {2}{19})×4+\frac {11}{19}$
$=\frac {2}{9}×4 + \frac {2}{19}×4 + \frac {11}{19}$
$=\frac {8}{9} + \frac {8}{19} + \frac {11}{19}$
$=\frac {8}{9} + (\frac {8}{19}+\frac {11}{19})$
$=\frac {8}{9} + 1$
$=1\frac {8}{9}$
14. $\frac {8}{9}×(\frac {1}{4}+\frac {2}{5})÷\frac {13}{20}$
$=\frac {8}{9}×(\frac {5}{20}+\frac {8}{20})×\frac {20}{13}$
$=\frac {8}{9}×\frac {13}{20}×\frac {20}{13}$
$=\frac {8}{9}×1$
$=\frac {8}{9}$
15. $\frac {1}{14}+\frac {7}{29}×\frac {3}{7}+\frac {13}{14}$
$=(\frac {1}{14}+\frac {13}{14}) + \frac {3}{29}$
$=1 + \frac {3}{29}$
$=1\frac {3}{29}$
16. $64×\frac {1}{8}×25+25$
$=8×25 + 25$
$=200 + 25$
$=225$
17. $(\frac {1}{9}+\frac {5}{6}-\frac {7}{12})÷\frac {1}{36}$
$=(\frac {1}{9}+\frac {5}{6}-\frac {7}{12})×36$
$=\frac {1}{9}×36 + \frac {5}{6}×36 - \frac {7}{12}×36$
$=4 + 30 - 21$
$=13$
18. $50\% ÷\frac {5}{6}×\frac {2}{3}÷\frac {4}{5}$
$=\frac {1}{2}×\frac {6}{5}×\frac {2}{3}×\frac {5}{4}$
$=(\frac {1}{2}×\frac {6}{5})×(\frac {2}{3}×\frac {5}{4})$
$=\frac {3}{5}×\frac {5}{6}$
$=\frac {1}{2}$
19. $\frac {2}{9}+50\% ÷\frac {4}{5}+\frac {3}{8}$
$=\frac {2}{9} + \frac {1}{2}×\frac {5}{4} + \frac {3}{8}$
$=\frac {2}{9} + \frac {5}{8} + \frac {3}{8}$
$=\frac {2}{9} + (\frac {5}{8}+\frac {3}{8})$
$=\frac {2}{9} + 1$
$=1\frac {2}{9}$
20. $80\% ÷[\frac {5}{4}÷(\frac {2}{3}-\frac {1}{2})]$
$=0.8÷[\frac {5}{4}÷(\frac {4}{6}-\frac {3}{6})]$
$=0.8÷[\frac {5}{4}÷\frac {1}{6}]$
$=0.8÷[\frac {5}{4}×6]$
$=0.8÷\frac {15}{2}$
$=\frac {4}{5}×\frac {2}{15}$
$=\frac {8}{75}$
21. $11\% ×1.8+8.2×0.11$
$=0.11×1.8 + 8.2×0.11$
$=0.11×(1.8 + 8.2)$
$=0.11×10$
$=1.1$
22. $3.64÷4+4.36×25\% $
$=3.64×0.25 + 4.36×0.25$
$=(3.64 + 4.36)×0.25$
$=8×0.25$
$=2$
23. $(1-1\% ×70)÷\frac {2}{7}$
$=(1 - 0.7)×\frac {7}{2}$
$=0.3×\frac {7}{2}$
$=\frac {3}{10}×\frac {7}{2}$
$=\frac {21}{20}$
24. $(1-37.5\% -25\% )÷25\% $
$=(1 - 0.375 - 0.25)÷0.25$
$=0.375÷0.25$
$=1.5$
25. $\frac {3}{4}×40\% +0.75×\frac {3}{5}$
$=0.75×0.4 + 0.75×0.6$
$=0.75×(0.4 + 0.6)$
$=0.75×1$
$=0.75$
$=\frac {3}{4}$
26. $1÷(\frac {1}{5}+\frac {1}{3})×16\% $
$=1÷(\frac {3}{15}+\frac {5}{15})×0.16$
$=1÷\frac {8}{15}×0.16$
$=\frac {15}{8}×0.16$
$=\frac {15}{8}×\frac {4}{25}$
$=\frac {3}{10}$
27. $(1+25\% )÷(1-25\% )$
$=1.25÷0.75$
$=\frac {5}{4}÷\frac {3}{4}$
$=\frac {5}{4}×\frac {4}{3}$
$=\frac {5}{3}$
28. $(\frac {3}{4}+\frac {2}{23})×8+\frac {7}{23}$
$=\frac {3}{4}×8 + \frac {2}{23}×8 + \frac {7}{23}$
$=6 + \frac {16}{23} + \frac {7}{23}$
$=6 + 1$
$=7$
29. $2-\frac {6}{13}÷\frac {9}{26}-\frac {2}{3}$
$=2 - \frac {6}{13}×\frac {26}{9} - \frac {2}{3}$
$=2 - \frac {4}{3} - \frac {2}{3}$
$=2 - (\frac {4}{3}+\frac {2}{3})$
$=2 - 2$
$=0$
30. $(2+\frac {1}{3})÷(2-\frac {1}{3})$
$=\frac {7}{3}÷\frac {5}{3}$
$=\frac {7}{3}×\frac {3}{5}$
$=\frac {7}{5}$
$=48×\frac {5}{6}+48×\frac {1}{4}-48×\frac {7}{8}$
$=40 + 12 - 42$
$=10$
2. $3.6÷\frac {3}{7}×\frac {1}{4}$
$=3.6×\frac {7}{3}×\frac {1}{4}$
$=8.4×\frac {1}{4}$
$=2.1$
3. $\frac {5}{8}×[\frac {3}{5}-(\frac {7}{15}-\frac {2}{5})]$
$=\frac {5}{8}×[\frac {3}{5}-\frac {7}{15}+\frac {2}{5}]$
$=\frac {5}{8}×[(\frac {3}{5}+\frac {2}{5})-\frac {7}{15}]$
$=\frac {5}{8}×[1 - \frac {7}{15}]$
$=\frac {5}{8}×\frac {8}{15}$
$=\frac {1}{3}$
4. $\frac {5}{7}×\frac {3}{4}+\frac {1}{4}÷\frac {7}{5}$
$=\frac {5}{7}×\frac {3}{4}+\frac {1}{4}×\frac {5}{7}$
$=\frac {5}{7}×(\frac {3}{4}+\frac {1}{4})$
$=\frac {5}{7}×1$
$=\frac {5}{7}$
5. $\frac {1}{8}×[\frac {1}{2}÷(\frac {3}{5}×\frac {10}{9})]$
$=\frac {1}{8}×[\frac {1}{2}÷\frac {2}{3}]$
$=\frac {1}{8}×[\frac {1}{2}×\frac {3}{2}]$
$=\frac {1}{8}×\frac {3}{4}$
$=\frac {3}{32}$
6. $\frac {2}{7}+\frac {2}{7}×27$
$=\frac {2}{7}×(1 + 27)$
$=\frac {2}{7}×28$
$=8$
7. $\frac {5}{8}÷\frac {3}{4}-\frac {5}{9}×\frac {3}{5}$
$=\frac {5}{8}×\frac {4}{3}-\frac {1}{3}$
$=\frac {5}{6}-\frac {1}{3}$
$=\frac {5}{6}-\frac {2}{6}$
$=\frac {3}{6}$
$=\frac {1}{2}$
8. $25+5÷(\frac {13}{15}-\frac {2}{3})$
$=25 + 5÷(\frac {13}{15}-\frac {10}{15})$
$=25 + 5÷\frac {3}{15}$
$=25 + 5×5$
$=25 + 25$
$=50$
9. $\frac {7}{8}-\frac {1}{9}+\frac {1}{8}-\frac {2}{9}$
$=(\frac {7}{8}+\frac {1}{8}) - (\frac {1}{9}+\frac {2}{9})$
$=1 - \frac {3}{9}$
$=1 - \frac {1}{3}$
$=\frac {2}{3}$
10. $\frac {5}{7}×16.31-2.31÷\frac {7}{5}$
$=\frac {5}{7}×16.31 - 2.31×\frac {5}{7}$
$=\frac {5}{7}×(16.31 - 2.31)$
$=\frac {5}{7}×14$
$=10$
11. $\frac {3}{8}÷(\frac {3}{5}+\frac {3}{20})$
$=\frac {3}{8}÷(\frac {12}{20}+\frac {3}{20})$
$=\frac {3}{8}÷\frac {15}{20}$
$=\frac {3}{8}×\frac {20}{15}$
$=\frac {3}{8}×\frac {4}{3}$
$=\frac {1}{2}$
12. $\frac {8}{9}×[\frac {3}{4}+(\frac {13}{16}-\frac {3}{4})]$
$=\frac {8}{9}×[\frac {3}{4}-\frac {3}{4}+\frac {13}{16}]$
$=\frac {8}{9}×\frac {13}{16}$
$=\frac {13}{18}$
13. $(\frac {2}{9}+\frac {2}{19})×4+\frac {11}{19}$
$=\frac {2}{9}×4 + \frac {2}{19}×4 + \frac {11}{19}$
$=\frac {8}{9} + \frac {8}{19} + \frac {11}{19}$
$=\frac {8}{9} + (\frac {8}{19}+\frac {11}{19})$
$=\frac {8}{9} + 1$
$=1\frac {8}{9}$
14. $\frac {8}{9}×(\frac {1}{4}+\frac {2}{5})÷\frac {13}{20}$
$=\frac {8}{9}×(\frac {5}{20}+\frac {8}{20})×\frac {20}{13}$
$=\frac {8}{9}×\frac {13}{20}×\frac {20}{13}$
$=\frac {8}{9}×1$
$=\frac {8}{9}$
15. $\frac {1}{14}+\frac {7}{29}×\frac {3}{7}+\frac {13}{14}$
$=(\frac {1}{14}+\frac {13}{14}) + \frac {3}{29}$
$=1 + \frac {3}{29}$
$=1\frac {3}{29}$
16. $64×\frac {1}{8}×25+25$
$=8×25 + 25$
$=200 + 25$
$=225$
17. $(\frac {1}{9}+\frac {5}{6}-\frac {7}{12})÷\frac {1}{36}$
$=(\frac {1}{9}+\frac {5}{6}-\frac {7}{12})×36$
$=\frac {1}{9}×36 + \frac {5}{6}×36 - \frac {7}{12}×36$
$=4 + 30 - 21$
$=13$
18. $50\% ÷\frac {5}{6}×\frac {2}{3}÷\frac {4}{5}$
$=\frac {1}{2}×\frac {6}{5}×\frac {2}{3}×\frac {5}{4}$
$=(\frac {1}{2}×\frac {6}{5})×(\frac {2}{3}×\frac {5}{4})$
$=\frac {3}{5}×\frac {5}{6}$
$=\frac {1}{2}$
19. $\frac {2}{9}+50\% ÷\frac {4}{5}+\frac {3}{8}$
$=\frac {2}{9} + \frac {1}{2}×\frac {5}{4} + \frac {3}{8}$
$=\frac {2}{9} + \frac {5}{8} + \frac {3}{8}$
$=\frac {2}{9} + (\frac {5}{8}+\frac {3}{8})$
$=\frac {2}{9} + 1$
$=1\frac {2}{9}$
20. $80\% ÷[\frac {5}{4}÷(\frac {2}{3}-\frac {1}{2})]$
$=0.8÷[\frac {5}{4}÷(\frac {4}{6}-\frac {3}{6})]$
$=0.8÷[\frac {5}{4}÷\frac {1}{6}]$
$=0.8÷[\frac {5}{4}×6]$
$=0.8÷\frac {15}{2}$
$=\frac {4}{5}×\frac {2}{15}$
$=\frac {8}{75}$
21. $11\% ×1.8+8.2×0.11$
$=0.11×1.8 + 8.2×0.11$
$=0.11×(1.8 + 8.2)$
$=0.11×10$
$=1.1$
22. $3.64÷4+4.36×25\% $
$=3.64×0.25 + 4.36×0.25$
$=(3.64 + 4.36)×0.25$
$=8×0.25$
$=2$
23. $(1-1\% ×70)÷\frac {2}{7}$
$=(1 - 0.7)×\frac {7}{2}$
$=0.3×\frac {7}{2}$
$=\frac {3}{10}×\frac {7}{2}$
$=\frac {21}{20}$
24. $(1-37.5\% -25\% )÷25\% $
$=(1 - 0.375 - 0.25)÷0.25$
$=0.375÷0.25$
$=1.5$
25. $\frac {3}{4}×40\% +0.75×\frac {3}{5}$
$=0.75×0.4 + 0.75×0.6$
$=0.75×(0.4 + 0.6)$
$=0.75×1$
$=0.75$
$=\frac {3}{4}$
26. $1÷(\frac {1}{5}+\frac {1}{3})×16\% $
$=1÷(\frac {3}{15}+\frac {5}{15})×0.16$
$=1÷\frac {8}{15}×0.16$
$=\frac {15}{8}×0.16$
$=\frac {15}{8}×\frac {4}{25}$
$=\frac {3}{10}$
27. $(1+25\% )÷(1-25\% )$
$=1.25÷0.75$
$=\frac {5}{4}÷\frac {3}{4}$
$=\frac {5}{4}×\frac {4}{3}$
$=\frac {5}{3}$
28. $(\frac {3}{4}+\frac {2}{23})×8+\frac {7}{23}$
$=\frac {3}{4}×8 + \frac {2}{23}×8 + \frac {7}{23}$
$=6 + \frac {16}{23} + \frac {7}{23}$
$=6 + 1$
$=7$
29. $2-\frac {6}{13}÷\frac {9}{26}-\frac {2}{3}$
$=2 - \frac {6}{13}×\frac {26}{9} - \frac {2}{3}$
$=2 - \frac {4}{3} - \frac {2}{3}$
$=2 - (\frac {4}{3}+\frac {2}{3})$
$=2 - 2$
$=0$
30. $(2+\frac {1}{3})÷(2-\frac {1}{3})$
$=\frac {7}{3}÷\frac {5}{3}$
$=\frac {7}{3}×\frac {3}{5}$
$=\frac {7}{5}$
