2. 下面各组数中互为倒数的是$(\quad)$。
A.$0.5$和$2$
B.$\frac{1}{8}$和$\frac{7}{8}$
C.$\frac{4}{3}$和$\frac{1}{3}$
A.$0.5$和$2$
B.$\frac{1}{8}$和$\frac{7}{8}$
C.$\frac{4}{3}$和$\frac{1}{3}$
答案
2. A
3. 一袋大米$25kg$,第一次用去$\frac{2}{5}$,第二次用去$\frac{2}{5}kg$,还剩$(\quad)kg$。
A.$14\frac{3}{5}$
B.$9$
C.$5$
A.$14\frac{3}{5}$
B.$9$
C.$5$
答案
3. A
解析
第一次用去的重量:$25×\frac{2}{5} = 10$ $kg$
剩余重量:$25 - 10 - \frac{2}{5} = 15 - \frac{2}{5} = 14\frac{3}{5}$ $kg$
A
剩余重量:$25 - 10 - \frac{2}{5} = 15 - \frac{2}{5} = 14\frac{3}{5}$ $kg$
A
4. 跑完$1500m$,小红用了$\frac{1}{6}$小时,小芳用了$\frac{1}{5}$小时,小丽用了$13$分钟,她们三人中跑得最快的是$(\quad)$。
A.小红
B.小芳
C.小丽
A.小红
B.小芳
C.小丽
答案
4. A
解析
$\frac{1}{6}$小时$=10$分钟,$\frac{1}{5}$小时$=12$分钟,$10<12<13$,小红用时最短,跑得最快。A
5. 甲数是乙数的$\frac{1}{5}$,乙数是丙数的$\frac{1}{5}$,甲数是丙数的$(\quad)$。
A.$\frac{1}{5}$
B.$25$倍
C.$\frac{1}{25}$
A.$\frac{1}{5}$
B.$25$倍
C.$\frac{1}{25}$
答案
5. C
解析
设丙数为$x$,则乙数为$\frac{1}{5}x$,甲数为$\frac{1}{5}×\frac{1}{5}x = \frac{1}{25}x$,所以甲数是丙数的$\frac{1}{25}$。
C
C
1. 直接写得数。
$0×\frac{6}{7}=$ $\frac{1}{5}÷\frac{3}{5}=$ $\frac{1}{6}×\frac{3}{4}=$ $\frac{2}{3}÷\frac{1}{4}=$ $\frac{6}{7}÷6=$
$1÷\frac{1}{4}=$ $\frac{1}{7}×5=$ $\frac{2}{5}÷4=$ $5÷\frac{5}{4}=$ $24÷\frac{3}{8}=$
$0×\frac{6}{7}=$ $\frac{1}{5}÷\frac{3}{5}=$ $\frac{1}{6}×\frac{3}{4}=$ $\frac{2}{3}÷\frac{1}{4}=$ $\frac{6}{7}÷6=$
$1÷\frac{1}{4}=$ $\frac{1}{7}×5=$ $\frac{2}{5}÷4=$ $5÷\frac{5}{4}=$ $24÷\frac{3}{8}=$
答案
1. 0 $\frac{1}{3}$ $\frac{1}{8}$ $\frac{8}{3}$ $\frac{1}{7}$ 4 $\frac{5}{7}$ $\frac{1}{10}$ 4 64
2. 我会化简比。
$96:54$ $\frac{6.4}{0.08}$
$1\frac{2}{7}:0.18$ $12$分钟$:3.5$小时
$96:54$ $\frac{6.4}{0.08}$
$1\frac{2}{7}:0.18$ $12$分钟$:3.5$小时
答案
2. 16:9 80:1 50:7 2:35
解析
$96:54=(96÷6):(54÷6)=16:9$
$\frac{6.4}{0.08}=6.4:0.08=(6.4×100):(0.08×100)=640:8=80:1$
$1\frac{2}{7}:0.18=\frac{9}{7}:\frac{9}{50}=(\frac{9}{7}×350):(\frac{9}{50}×350)=450:63=50:7$
$12$分钟$:3.5$小时$=12$分钟$:210$分钟$=(12÷6):(210÷6)=2:35$
$\frac{6.4}{0.08}=6.4:0.08=(6.4×100):(0.08×100)=640:8=80:1$
$1\frac{2}{7}:0.18=\frac{9}{7}:\frac{9}{50}=(\frac{9}{7}×350):(\frac{9}{50}×350)=450:63=50:7$
$12$分钟$:3.5$小时$=12$分钟$:210$分钟$=(12÷6):(210÷6)=2:35$
3. 怎样算简便就怎样算。
$\frac{5}{6}×\frac{6}{5}-\frac{9}{10}÷\frac{9}{5}$ $4-\frac{5}{11}-\frac{6}{11}$ $\frac{7}{13}÷6+\frac{1}{6}×\frac{6}{13}-\frac{1}{6}$
$[\frac{5}{3}-(\frac{2}{5}+\frac{3}{4})]÷\frac{31}{4}$ $\frac{1}{18}×\frac{5}{7}+\frac{5}{18}×\frac{17}{7}$ $(\frac{1}{36}÷\frac{1}{4}+\frac{1}{9})÷\frac{5}{6}$
$\frac{5}{6}×\frac{6}{5}-\frac{9}{10}÷\frac{9}{5}$ $4-\frac{5}{11}-\frac{6}{11}$ $\frac{7}{13}÷6+\frac{1}{6}×\frac{6}{13}-\frac{1}{6}$
$[\frac{5}{3}-(\frac{2}{5}+\frac{3}{4})]÷\frac{31}{4}$ $\frac{1}{18}×\frac{5}{7}+\frac{5}{18}×\frac{17}{7}$ $(\frac{1}{36}÷\frac{1}{4}+\frac{1}{9})÷\frac{5}{6}$
答案
3. $\frac{1}{2}$ 3 0 $\frac{1}{15}$ $\frac{5}{7}$ $\frac{4}{15}$
解析
$\frac{5}{6}×\frac{6}{5}-\frac{9}{10}÷\frac{9}{5}=1-\frac{1}{2}=\frac{1}{2}$
$4-\frac{5}{11}-\frac{6}{11}=4-(\frac{5}{11}+\frac{6}{11})=4-1=3$
$\frac{7}{13}÷6+\frac{1}{6}×\frac{6}{13}-\frac{1}{6}=\frac{1}{6}×(\frac{7}{13}+\frac{6}{13}-1)=\frac{1}{6}×0=0$
$[\frac{5}{3}-(\frac{2}{5}+\frac{3}{4})]÷\frac{31}{4}=(\frac{5}{3}-\frac{23}{20})×\frac{4}{31}=\frac{31}{60}×\frac{4}{31}=\frac{1}{15}$
$\frac{1}{18}×\frac{5}{7}+\frac{5}{18}×\frac{17}{7}=\frac{5}{18×7}+\frac{85}{18×7}=\frac{90}{126}=\frac{5}{7}$
$(\frac{1}{36}÷\frac{1}{4}+\frac{1}{9})÷\frac{5}{6}=(\frac{1}{9}+\frac{1}{9})×\frac{6}{5}=\frac{2}{9}×\frac{6}{5}=\frac{12}{45}=\frac{4}{15}$
$4-\frac{5}{11}-\frac{6}{11}=4-(\frac{5}{11}+\frac{6}{11})=4-1=3$
$\frac{7}{13}÷6+\frac{1}{6}×\frac{6}{13}-\frac{1}{6}=\frac{1}{6}×(\frac{7}{13}+\frac{6}{13}-1)=\frac{1}{6}×0=0$
$[\frac{5}{3}-(\frac{2}{5}+\frac{3}{4})]÷\frac{31}{4}=(\frac{5}{3}-\frac{23}{20})×\frac{4}{31}=\frac{31}{60}×\frac{4}{31}=\frac{1}{15}$
$\frac{1}{18}×\frac{5}{7}+\frac{5}{18}×\frac{17}{7}=\frac{5}{18×7}+\frac{85}{18×7}=\frac{90}{126}=\frac{5}{7}$
$(\frac{1}{36}÷\frac{1}{4}+\frac{1}{9})÷\frac{5}{6}=(\frac{1}{9}+\frac{1}{9})×\frac{6}{5}=\frac{2}{9}×\frac{6}{5}=\frac{12}{45}=\frac{4}{15}$
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