四、生活中的数学。
1. 粮店原来有$\frac{1}{2}$ t大米,卖出$\frac{1}{3}$ t后,又运进$\frac{1}{4}$ t。粮店现在有大米多少吨?
1. 粮店原来有$\frac{1}{2}$ t大米,卖出$\frac{1}{3}$ t后,又运进$\frac{1}{4}$ t。粮店现在有大米多少吨?
答案
1.$\frac{1}{2} - \frac{1}{3} + \frac{1}{4} = \frac{5}{12}$(t)
2. 服装厂某月(按30天算)计划生产一批童装,前15天完成了计划的$\frac{7}{12}$,后15天和前15天完成的同样多。实际生产的童装比原计划生产的多了几分之几?
答案
2.$\frac{7}{12} + \frac{7}{12} - 1 = \frac{1}{6}$
3. 有满满一杯牛奶,淘气分四次喝完。第一次喝了这杯牛奶的$\frac{1}{2}$,然后加满水;第二次喝了$\frac{1}{4}$,再加满水;第三次喝了$\frac{1}{6}$,又加满水;第四次一饮而尽。淘气喝的牛奶多,还是水多?
答案
3.$\frac{1}{2} + \frac{1}{4} + \frac{1}{6} = \frac{11}{12}$(杯)
$\frac{11}{12}<1$,淘气喝的牛奶多。
$\frac{11}{12}<1$,淘气喝的牛奶多。
算一算
$\frac{1}{2} - \frac{1}{2} =$
$\frac{2}{3} - \frac{1}{3} =$
$\frac{2}{5} - \frac{1}{5} =$
$\frac{1}{6} - \frac{1}{6} =$
$\frac{5}{8} - \frac{3}{8} =$
$\frac{5}{9} - \frac{4}{9} =$
$\frac{9}{11} - \frac{5}{11} =$
$\frac{7}{12} - \frac{3}{12} =$
$\frac{9}{14} - \frac{5}{14} =$
$\frac{13}{15} - \frac{4}{15} =$
$\frac{1}{2} - \frac{1}{2} =$
$\frac{2}{3} - \frac{1}{3} =$
$\frac{2}{5} - \frac{1}{5} =$
$\frac{1}{6} - \frac{1}{6} =$
$\frac{5}{8} - \frac{3}{8} =$
$\frac{5}{9} - \frac{4}{9} =$
$\frac{9}{11} - \frac{5}{11} =$
$\frac{7}{12} - \frac{3}{12} =$
$\frac{9}{14} - \frac{5}{14} =$
$\frac{13}{15} - \frac{4}{15} =$
答案
$\frac{1}{2} - \frac{1}{2} = 0$
$\frac{2}{3} - \frac{1}{3} = \frac{1}{3}$
$\frac{2}{5} - \frac{1}{5} = \frac{1}{5}$
$\frac{1}{6} - \frac{1}{6} = 0$
$\frac{5}{8} - \frac{3}{8} = \frac{1}{4}$
$\frac{5}{9} - \frac{4}{9} = \frac{1}{9}$
$\frac{9}{11} - \frac{5}{11} = \frac{4}{11}$
$\frac{7}{12} - \frac{3}{12} = \frac{1}{3}$
$\frac{9}{14} - \frac{5}{14} = \frac{2}{7}$
$\frac{13}{15} - \frac{4}{15} = \frac{3}{5}$
$\frac{2}{3} - \frac{1}{3} = \frac{1}{3}$
$\frac{2}{5} - \frac{1}{5} = \frac{1}{5}$
$\frac{1}{6} - \frac{1}{6} = 0$
$\frac{5}{8} - \frac{3}{8} = \frac{1}{4}$
$\frac{5}{9} - \frac{4}{9} = \frac{1}{9}$
$\frac{9}{11} - \frac{5}{11} = \frac{4}{11}$
$\frac{7}{12} - \frac{3}{12} = \frac{1}{3}$
$\frac{9}{14} - \frac{5}{14} = \frac{2}{7}$
$\frac{13}{15} - \frac{4}{15} = \frac{3}{5}$
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