脱式计算。(能简算的要简算)
$4.6 + 3\frac{2}{5} + 6\frac{3}{5} + 5.4$ $3\frac{4}{15}×(\frac{5}{7} - \frac{3}{14}÷\frac{3}{4})$
$2.8 + 5\frac{4}{9} + 7.2 + 3\frac{5}{9}$ $4\frac{3}{8} + 2.25 + 5\frac{5}{8} + 7\frac{3}{4}$
$7\frac{2}{5} + 4\frac{5}{7} + 2\frac{3}{5}$ $53\frac{6}{11} - 16\frac{4}{7} + 16\frac{5}{11}$
$2\frac{3}{7} + 3\frac{5}{9} - 3\frac{3}{7} + 1\frac{4}{9} + 1\frac{4}{7}$ $5 - 2\frac{14}{17} - 1\frac{3}{17}$
$0.75 + \frac{5}{8} + \frac{1}{4} + 0.375$ $4\frac{4}{5} - (2\frac{4}{5} + \frac{5}{12})$
$\frac{4}{5} + 9\frac{4}{5} + 99\frac{4}{5} + 999\frac{4}{5} + 9999\frac{4}{5}$ $3 - \frac{5}{13} - \frac{8}{13}$
$4.6 + 3\frac{2}{5} + 6\frac{3}{5} + 5.4$ $3\frac{4}{15}×(\frac{5}{7} - \frac{3}{14}÷\frac{3}{4})$
$2.8 + 5\frac{4}{9} + 7.2 + 3\frac{5}{9}$ $4\frac{3}{8} + 2.25 + 5\frac{5}{8} + 7\frac{3}{4}$
$7\frac{2}{5} + 4\frac{5}{7} + 2\frac{3}{5}$ $53\frac{6}{11} - 16\frac{4}{7} + 16\frac{5}{11}$
$2\frac{3}{7} + 3\frac{5}{9} - 3\frac{3}{7} + 1\frac{4}{9} + 1\frac{4}{7}$ $5 - 2\frac{14}{17} - 1\frac{3}{17}$
$0.75 + \frac{5}{8} + \frac{1}{4} + 0.375$ $4\frac{4}{5} - (2\frac{4}{5} + \frac{5}{12})$
$\frac{4}{5} + 9\frac{4}{5} + 99\frac{4}{5} + 999\frac{4}{5} + 9999\frac{4}{5}$ $3 - \frac{5}{13} - \frac{8}{13}$
答案
$4.6 + 3\frac{2}{5} + 6\frac{3}{5} + 5.4$
$=(4.6+5.4)+(3\frac{2}{5}+6\frac{3}{5})$
$=10+10$
$=20$
$3\frac{4}{15}×(\frac{5}{7} - \frac{3}{14}÷\frac{3}{4})$
$=3\frac{4}{15}×(\frac{5}{7} - \frac{3}{14}×\frac{4}{3})$
$=3\frac{4}{15}×(\frac{5}{7} - \frac{2}{7})$
$=\frac{49}{15}×\frac{3}{7}$
$=\frac{7}{5}$
$=1\frac{2}{5}$
$2.8 + 5\frac{4}{9} + 7.2 + 3\frac{5}{9}$
$=(2.8+7.2)+(5\frac{4}{9}+3\frac{5}{9})$
$=10+9$
$=19$
$4\frac{3}{8} + 2.25 + 5\frac{5}{8} + 7\frac{3}{4}$
$=(4\frac{3}{8}+5\frac{5}{8})+(2.25+7\frac{3}{4})$
$=10+10$
$=20$
$7\frac{2}{5} + 4\frac{5}{7} + 2\frac{3}{5}$
$=(7\frac{2}{5}+2\frac{3}{5})+4\frac{5}{7}$
$=10+4\frac{5}{7}$
$=14\frac{5}{7}$
$53\frac{6}{11} - 16\frac{4}{7} + 16\frac{5}{11}$
$=(53\frac{6}{11}+16\frac{5}{11})-16\frac{4}{7}$
$=70-16\frac{4}{7}$
$=53\frac{3}{7}$
$2\frac{3}{7} + 3\frac{5}{9} - 3\frac{3}{7} + 1\frac{4}{9} + 1\frac{4}{7}$
$=(2\frac{3}{7}-3\frac{3}{7}+1\frac{4}{7})+(3\frac{5}{9}+1\frac{4}{9})$
$=1\frac{4}{7}+5$
$=6\frac{4}{7}$
$5 - 2\frac{14}{17} - 1\frac{3}{17}$
$=5-(2\frac{14}{17}+1\frac{3}{17})$
$=5-4$
$=1$
$0.75 + \frac{5}{8} + \frac{1}{4} + 0.375$
$=(0.75+\frac{1}{4})+(\frac{5}{8}+0.375)$
$=1+1$
$=2$
$4\frac{4}{5} - (2\frac{4}{5} + \frac{5}{12})$
$=4\frac{4}{5}-2\frac{4}{5}-\frac{5}{12}$
$=2-\frac{5}{12}$
$=1\frac{7}{12}$
$\frac{4}{5} + 9\frac{4}{5} + 99\frac{4}{5} + 999\frac{4}{5} + 9999\frac{4}{5}$
$=(1-\frac{1}{5})+(10-\frac{1}{5})+(100-\frac{1}{5})+(1000-\frac{1}{5})+(10000-\frac{1}{5})$
$=(1+10+100+1000+10000)-(\frac{1}{5}×5)$
$=11111-1$
$=11110$
$3 - \frac{5}{13} - \frac{8}{13}$
$=3-(\frac{5}{13}+\frac{8}{13})$
$=3-1$
$=2$
$=(4.6+5.4)+(3\frac{2}{5}+6\frac{3}{5})$
$=10+10$
$=20$
$3\frac{4}{15}×(\frac{5}{7} - \frac{3}{14}÷\frac{3}{4})$
$=3\frac{4}{15}×(\frac{5}{7} - \frac{3}{14}×\frac{4}{3})$
$=3\frac{4}{15}×(\frac{5}{7} - \frac{2}{7})$
$=\frac{49}{15}×\frac{3}{7}$
$=\frac{7}{5}$
$=1\frac{2}{5}$
$2.8 + 5\frac{4}{9} + 7.2 + 3\frac{5}{9}$
$=(2.8+7.2)+(5\frac{4}{9}+3\frac{5}{9})$
$=10+9$
$=19$
$4\frac{3}{8} + 2.25 + 5\frac{5}{8} + 7\frac{3}{4}$
$=(4\frac{3}{8}+5\frac{5}{8})+(2.25+7\frac{3}{4})$
$=10+10$
$=20$
$7\frac{2}{5} + 4\frac{5}{7} + 2\frac{3}{5}$
$=(7\frac{2}{5}+2\frac{3}{5})+4\frac{5}{7}$
$=10+4\frac{5}{7}$
$=14\frac{5}{7}$
$53\frac{6}{11} - 16\frac{4}{7} + 16\frac{5}{11}$
$=(53\frac{6}{11}+16\frac{5}{11})-16\frac{4}{7}$
$=70-16\frac{4}{7}$
$=53\frac{3}{7}$
$2\frac{3}{7} + 3\frac{5}{9} - 3\frac{3}{7} + 1\frac{4}{9} + 1\frac{4}{7}$
$=(2\frac{3}{7}-3\frac{3}{7}+1\frac{4}{7})+(3\frac{5}{9}+1\frac{4}{9})$
$=1\frac{4}{7}+5$
$=6\frac{4}{7}$
$5 - 2\frac{14}{17} - 1\frac{3}{17}$
$=5-(2\frac{14}{17}+1\frac{3}{17})$
$=5-4$
$=1$
$0.75 + \frac{5}{8} + \frac{1}{4} + 0.375$
$=(0.75+\frac{1}{4})+(\frac{5}{8}+0.375)$
$=1+1$
$=2$
$4\frac{4}{5} - (2\frac{4}{5} + \frac{5}{12})$
$=4\frac{4}{5}-2\frac{4}{5}-\frac{5}{12}$
$=2-\frac{5}{12}$
$=1\frac{7}{12}$
$\frac{4}{5} + 9\frac{4}{5} + 99\frac{4}{5} + 999\frac{4}{5} + 9999\frac{4}{5}$
$=(1-\frac{1}{5})+(10-\frac{1}{5})+(100-\frac{1}{5})+(1000-\frac{1}{5})+(10000-\frac{1}{5})$
$=(1+10+100+1000+10000)-(\frac{1}{5}×5)$
$=11111-1$
$=11110$
$3 - \frac{5}{13} - \frac{8}{13}$
$=3-(\frac{5}{13}+\frac{8}{13})$
$=3-1$
$=2$
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