2026年计算素养提升五年级数学下册北师大版第97页答案
1. 直接写出得数。
$\frac{1}{20}×12=$
$7.7×\frac{9}{7}=$
$\frac{1}{48}×30=$
$\frac{9}{100}×\frac{20}{3}=$
$\frac{7}{8}÷56=$
$\frac{4}{15}÷\frac{8}{21}=$
$\frac{3}{5}÷\frac{3}{10}=$
$\frac{5}{6}-\frac{4}{9}=$
$\frac{9}{16}+\frac{3}{4}=$
$\frac{1}{2}×0.6=$
$\frac{7}{32}×\frac{64}{21}=$
$0.48×\frac{5}{6}=$
$\frac{7}{8}÷2=$
$0.6×\frac{5}{3}=$
$1\frac{2}{5}×\frac{5}{16}=$

答案

$\frac{1}{20}×12=\frac{1×12}{20}=\frac{3}{5}$
$7.7×\frac{9}{7}=\frac{77}{10}×\frac{9}{7}=\frac{99}{10}=9.9$
$\frac{1}{48}×30=\frac{1×30}{48}=\frac{5}{8}$
$\frac{9}{100}×\frac{20}{3}=\frac{9×20}{100×3}=\frac{3}{5}$
$\frac{7}{8}÷56=\frac{7}{8}×\frac{1}{56}=\frac{1}{64}$
$\frac{4}{15}÷\frac{8}{21}=\frac{4}{15}×\frac{21}{8}=\frac{7}{10}$
$\frac{3}{5}÷\frac{3}{10}=\frac{3}{5}×\frac{10}{3}=2$
$\frac{5}{6}-\frac{4}{9}=\frac{15}{18}-\frac{8}{18}=\frac{7}{18}$
$\frac{9}{16}+\frac{3}{4}=\frac{9}{16}+\frac{12}{16}=\frac{21}{16}$
$\frac{1}{2}×0.6=\frac{1}{2}×\frac{3}{5}=\frac{3}{10}=0.3$
$\frac{7}{32}×\frac{64}{21}=\frac{7×64}{32×21}=\frac{2}{3}$
$0.48×\frac{5}{6}=\frac{12}{25}×\frac{5}{6}=\frac{2}{5}=0.4$
$\frac{7}{8}÷2=\frac{7}{8}×\frac{1}{2}=\frac{7}{16}$
$0.6×\frac{5}{3}=\frac{3}{5}×\frac{5}{3}=1$
$1\frac{2}{5}×\frac{5}{16}=\frac{7}{5}×\frac{5}{16}=\frac{7}{16}$
2. 脱式计算。
$2-\frac{5}{11}×\frac{121}{75}$
$\frac{17}{15}-(\frac{7}{8}+\frac{1}{8})$
$\frac{5}{12}×\frac{8}{35}-\frac{1}{21}$

答案

$2-\frac{5}{11}×\frac{121}{75}$
$=2-\frac{11}{15}$
$=\frac{30}{15}-\frac{11}{15}$
$=\frac{19}{15}$
$\frac{17}{15}-(\frac{7}{8}+\frac{1}{8})$
$=\frac{17}{15}-1$
$=\frac{17}{15}-\frac{15}{15}$
$=\frac{2}{15}$
$\frac{5}{12}×\frac{8}{35}-\frac{1}{21}$
$=\frac{2}{21}-\frac{1}{21}$
$=\frac{1}{21}$
3. 解方程。
$\frac{5}{18}+x=\frac{11}{12}$
$\frac{5}{8}x=40$
$5x-3x=1.75$
$(1+\frac{1}{4})x=25$
$(1-\frac{5}{9})x=\frac{8}{15}$
$x-\frac{5}{8}x=0.375$

答案

解:$\frac{5}{18}+x=\frac{11}{12}$
$x=\frac{11}{12}-\frac{5}{18}$
$x=\frac{33}{36}-\frac{10}{36}$
$x=\frac{23}{36}$
解:$\frac{5}{8}x=40$
$x=40÷\frac{5}{8}$
$x=40×\frac{8}{5}$
$x=64$
解:$5x-3x=1.75$
$2x=1.75$
$x=1.75÷2$
$x=0.875$
解:$(1+\frac{1}{4})x=25$
$\frac{5}{4}x=25$
$x=25÷\frac{5}{4}$
$x=25×\frac{4}{5}$
$x=20$
解:$(1-\frac{5}{9})x=\frac{8}{15}$
$\frac{4}{9}x=\frac{8}{15}$
$x=\frac{8}{15}÷\frac{4}{9}$
$x=\frac{8}{15}×\frac{9}{4}$
$x=\frac{6}{5}$
解:$x-\frac{5}{8}x=0.375$
$\frac{3}{8}x=\frac{3}{8}$
$x=\frac{3}{8}÷\frac{3}{8}$
$x=1$