2025年心算口算巧算六年级上册北师大版


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《2025年心算口算巧算六年级上册北师大版》

1 化简下面各比。
$\frac{1}{4}:\frac{2}{3}=$
$\frac{3}{4}:\frac{1}{2}=$
$0.12:0.24=$
$3.2:4.8=$
$6.3:5.4=$
$\frac{5}{7}:\frac{3}{14}=$
$\frac{1}{3}:\frac{1}{9}=$
$\frac{2}{7}:0.25=$
$\frac{1}{21}:\frac{6}{7}=$
$\frac{1}{3}:\frac{3}{2}=$
$\frac{4}{5}:\frac{3}{7}=$
$\frac{5}{8}:\frac{4}{11}=$
$\frac{9}{7}:\frac{10}{11}=$
$\frac{15}{13}:\frac{5}{6}=$
$\frac{16}{17}:\frac{8}{9}=$
答案: $3:8$;$3:2$;$1:2$;$2:3$;$7:6$;$10:3$;$3:1$;$8:7$;$1:18$;$2:9$;$28:15$;$55:32$;$99:70$;$18:13$;$18:17$
$\frac{1}{4}:\frac{2}{3}=(\frac{1}{4}×12):(\frac{2}{3}×12)=3:8$
$\frac{3}{4}:\frac{1}{2}=(\frac{3}{4}×4):(\frac{1}{2}×4)=3:2$
$0.12:0.24=12:24=1:2$
$3.2:4.8=32:48=2:3$
$6.3:5.4=63:54=7:6$
$\frac{5}{7}:\frac{3}{14}=(\frac{5}{7}×14):(\frac{3}{14}×14)=10:3$
$\frac{1}{3}:\frac{1}{9}=(\frac{1}{3}×9):(\frac{1}{9}×9)=3:1$
$\frac{2}{7}:0.25=\frac{2}{7}:\frac{1}{4}=(\frac{2}{7}×28):(\frac{1}{4}×28)=8:7$
$\frac{1}{21}:\frac{6}{7}=(\frac{1}{21}×21):(\frac{6}{7}×21)=1:18$
$\frac{1}{3}:\frac{3}{2}=(\frac{1}{3}×6):(\frac{3}{2}×6)=2:9$
$\frac{4}{5}:\frac{3}{7}=(\frac{4}{5}×35):(\frac{3}{7}×35)=28:15$
$\frac{5}{8}:\frac{4}{11}=(\frac{5}{8}×88):(\frac{4}{11}×88)=55:32$
$\frac{9}{7}:\frac{10}{11}=(\frac{9}{7}×77):(\frac{10}{11}×77)=99:70$
$\frac{15}{13}:\frac{5}{6}=(\frac{15}{13}×78):(\frac{5}{6}×78)=90:65=18:13$
$\frac{16}{17}:\frac{8}{9}=(\frac{16}{17}×153):(\frac{8}{9}×153)=144:136=18:17$
2 求下面各比的比值。
$\frac{1}{2}:\frac{5}{14}=$
$\frac{5}{11}:\frac{7}{8}=$
$6:8=$
$91:26=$
$\frac{4}{9}:\frac{2}{3}=$
$3\frac{1}{2}:2\frac{1}{3}=$
$\frac{5}{7}:\frac{3}{8}=$
$\frac{7}{6}:\frac{11}{9}=$
$\frac{11}{13}:\frac{11}{26}=$
$60\%:75\%=$
$25\%:\frac{3}{8}=$
$\frac{7}{4}:12.5\%=$
$56:21=$
$65:39=$
$\frac{3}{4}:\frac{7}{8}=$
$70:25=$
$\frac{7}{5}:\frac{8}{15}=$
$\frac{4}{25}:0.4=$
答案: $\frac{7}{5}$;$\frac{40}{77}$;$\frac{3}{4}$;$3.5$;$\frac{2}{3}$;$\frac{3}{2}$;$\frac{40}{21}$;$\frac{21}{22}$;$2$;$0.8$;$\frac{2}{3}$;$14$;$\frac{8}{3}$;$\frac{5}{3}$;$\frac{6}{7}$;$\frac{14}{5}$;$\frac{21}{8}$;$\frac{2}{5}$
$\frac{1}{2}:\frac{5}{14}=\frac{1}{2}×\frac{14}{5}=\frac{7}{5}$
$\frac{5}{11}:\frac{7}{8}=\frac{5}{11}×\frac{8}{7}=\frac{40}{77}$
$6:8=6÷8=\frac{3}{4}$
$91:26=91÷26=3.5$
$\frac{4}{9}:\frac{2}{3}=\frac{4}{9}×\frac{3}{2}=\frac{2}{3}$
$3\frac{1}{2}:2\frac{1}{3}=\frac{7}{2}:\frac{7}{3}=\frac{7}{2}×\frac{3}{7}=\frac{3}{2}$
$\frac{5}{7}:\frac{3}{8}=\frac{5}{7}×\frac{8}{3}=\frac{40}{21}$
$\frac{7}{6}:\frac{11}{9}=\frac{7}{6}×\frac{9}{11}=\frac{21}{22}$
$\frac{11}{13}:\frac{11}{26}=\frac{11}{13}×\frac{26}{11}=2$
$60\%:75\%=0.6÷0.75=0.8$
$25\%:\frac{3}{8}=0.25÷0.375=\frac{2}{3}$
$\frac{7}{4}:12.5\%=\frac{7}{4}÷0.125=\frac{7}{4}×8=14$
$56:21=56÷21=\frac{8}{3}$
$65:39=65÷39=\frac{5}{3}$
$\frac{3}{4}:\frac{7}{8}=\frac{3}{4}×\frac{8}{7}=\frac{6}{7}$
$70:25=70÷25=\frac{14}{5}$
$\frac{7}{5}:\frac{8}{15}=\frac{7}{5}×\frac{15}{8}=\frac{21}{8}$
$\frac{4}{25}:0.4=\frac{4}{25}÷\frac{2}{5}=\frac{4}{25}×\frac{5}{2}=\frac{2}{5}$

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