1. 六年级一班男生人数与女生人数的比是4:5,则男生人数占全班人数的(
①$\frac{4}{5}$ ②$\frac{4}{9}$ ③$\frac{5}{9}$
②
)。①$\frac{4}{5}$ ②$\frac{4}{9}$ ③$\frac{5}{9}$
答案
男生人数与女生人数的比是4:5,可设男生人数为4份,女生人数为5份,全班人数为4+5=9份。男生人数占全班人数的比例为4÷9=$\frac{4}{9}$。
②
②
2. 一张圆形纸片沿半径平均分成若干等份,拼成一个近似的长方形,其周长(
①和圆周长相等 ②大于圆的周长 ③小于圆的周长
②
)。①和圆周长相等 ②大于圆的周长 ③小于圆的周长
答案
②
3. 把30 g糖放入120 g的水中,糖占糖水的(
①20% ②25% ③40%
①
)。①20% ②25% ③40%
答案
糖水质量:30 + 120 = 150(g)
糖占糖水的比例:30 ÷ 150 = 0.2 = 20%
①
糖占糖水的比例:30 ÷ 150 = 0.2 = 20%
①
4. 一件上衣降价10%销售,“店庆”期间在此基础上再次降价5%。现价是原价的(
①85% ②85.5% ③95%
②
)。①85% ②85.5% ③95%
答案
设原价为1。
第一次降价后价格:1×(1-10%)=0.9
第二次降价后价格:0.9×(1-5%)=0.855
0.855÷1=85.5%
②
第一次降价后价格:1×(1-10%)=0.9
第二次降价后价格:0.9×(1-5%)=0.855
0.855÷1=85.5%
②
1. 直接写得数。(共4分)
$\frac{5}{8}×1.6=$
$3÷\frac{1}{5}=$
$\frac{5}{8}×1.6=$
1
$\frac{2}{3}×\frac{3}{4}=$$\frac{1}{2}$
$\frac{3}{5}÷\frac{1}{5}=$3
$1-\frac{4}{7}÷\frac{4}{7}=$0
$3÷\frac{1}{5}=$
15
$\frac{9}{20}÷3=$$\frac{3}{20}$
$\frac{4}{5}×\frac{5}{9}=$$\frac{4}{9}$
$\frac{2}{3}×\frac{3}{4}×\frac{4}{5}=$$\frac{2}{5}$
答案
1. 1
2. $\frac{1}{2}$
3. 3
4. 0
5. 15
6. $\frac{3}{20}$
7. $\frac{4}{9}$
8. $\frac{2}{5}$
2. $\frac{1}{2}$
3. 3
4. 0
5. 15
6. $\frac{3}{20}$
7. $\frac{4}{9}$
8. $\frac{2}{5}$
2. 怎样简便就怎样算。(共15分)
$\frac{2}{5}×\frac{3}{7}+\frac{2}{5}×\frac{4}{7}= $______ $\left(\frac{1}{4}+\frac{2}{7}\right)×2.8= $______ $\left(\frac{7}{12}+\frac{3}{8}-\frac{23}{24}\right)×24= $______
$1÷\frac{1}{6}÷\frac{3}{10}= $______ $\frac{3}{8}÷\frac{9}{10}÷6= $______ $\frac{3}{5}÷\left(\frac{1}{4}+\frac{4}{5}\right)= $______
$\frac{2}{5}×\frac{3}{7}+\frac{2}{5}×\frac{4}{7}= $______ $\left(\frac{1}{4}+\frac{2}{7}\right)×2.8= $______ $\left(\frac{7}{12}+\frac{3}{8}-\frac{23}{24}\right)×24= $______
$1÷\frac{1}{6}÷\frac{3}{10}= $______ $\frac{3}{8}÷\frac{9}{10}÷6= $______ $\frac{3}{5}÷\left(\frac{1}{4}+\frac{4}{5}\right)= $______
答案
$\frac{2}{5}×\frac{3}{7}+\frac{2}{5}×\frac{4}{7}=\frac{2}{5}×(\frac{3}{7}+\frac{4}{7})=\frac{2}{5}×1=\frac{2}{5}$
$\left(\frac{1}{4}+\frac{2}{7}\right)×2.8=\frac{1}{4}×2.8+\frac{2}{7}×2.8=0.7 + 0.8=1.5$
$\left(\frac{7}{12}+\frac{3}{8}-\frac{23}{24}\right)×24=\frac{7}{12}×24+\frac{3}{8}×24-\frac{23}{24}×24=14 + 9 - 23=0$
$1÷\frac{1}{6}÷\frac{3}{10}=1×6×\frac{10}{3}=20$
$\frac{3}{8}÷\frac{9}{10}÷6=\frac{3}{8}×\frac{10}{9}×\frac{1}{6}=\frac{5}{72}$
$\frac{3}{5}÷\left(\frac{1}{4}+\frac{4}{5}\right)=\frac{3}{5}÷\left(\frac{5}{20}+\frac{16}{20}\right)=\frac{3}{5}÷\frac{21}{20}=\frac{3}{5}×\frac{20}{21}=\frac{4}{7}$
$\left(\frac{1}{4}+\frac{2}{7}\right)×2.8=\frac{1}{4}×2.8+\frac{2}{7}×2.8=0.7 + 0.8=1.5$
$\left(\frac{7}{12}+\frac{3}{8}-\frac{23}{24}\right)×24=\frac{7}{12}×24+\frac{3}{8}×24-\frac{23}{24}×24=14 + 9 - 23=0$
$1÷\frac{1}{6}÷\frac{3}{10}=1×6×\frac{10}{3}=20$
$\frac{3}{8}÷\frac{9}{10}÷6=\frac{3}{8}×\frac{10}{9}×\frac{1}{6}=\frac{5}{72}$
$\frac{3}{5}÷\left(\frac{1}{4}+\frac{4}{5}\right)=\frac{3}{5}÷\left(\frac{5}{20}+\frac{16}{20}\right)=\frac{3}{5}÷\frac{21}{20}=\frac{3}{5}×\frac{20}{21}=\frac{4}{7}$
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