2026年计算素养提升五年级数学下册北师大版第77页答案
1. 直接写出得数。
$\frac{8}{9}÷4=$
$17÷\frac{1}{3}=$
$\frac{7}{16}÷\frac{3}{8}=$
$\frac{5}{7}×\frac{6}{7}=$
$\frac{6}{7}÷42=$
$\frac{9}{20}÷\frac{4}{15}=$
$\frac{16}{23}×\frac{3}{4}=$
$\frac{5}{6}×\frac{4}{9}=$
$\frac{9}{16}÷\frac{3}{4}=$
$\frac{2}{7}×63=$
$\frac{5}{32}×\frac{24}{25}=$
$0.48×\frac{15}{16}=$
$\frac{5}{8}+\frac{1}{2}=$
$1.8-\frac{3}{5}=$
$1\frac{1}{5}×\frac{5}{12}=$

答案

$\frac{8}{9}÷4=\frac{8}{9}×\frac{1}{4}=\frac{2}{9}$
$17÷\frac{1}{3}=17×3=51$
$\frac{7}{16}÷\frac{3}{8}=\frac{7}{16}×\frac{8}{3}=\frac{7}{6}$
$\frac{5}{7}×\frac{6}{7}=\frac{30}{49}$
$\frac{6}{7}÷42=\frac{6}{7}×\frac{1}{42}=\frac{1}{49}$
$\frac{9}{20}÷\frac{4}{15}=\frac{9}{20}×\frac{15}{4}=\frac{27}{16}$
$\frac{16}{23}×\frac{3}{4}=\frac{12}{23}$
$\frac{5}{6}×\frac{4}{9}=\frac{10}{27}$
$\frac{9}{16}÷\frac{3}{4}=\frac{9}{16}×\frac{4}{3}=\frac{3}{4}$
$\frac{2}{7}×63=18$
$\frac{5}{32}×\frac{24}{25}=\frac{3}{20}$
$0.48×\frac{15}{16}=\frac{12}{25}×\frac{15}{16}=\frac{9}{20}=0.45$
$\frac{5}{8}+\frac{1}{2}=\frac{5}{8}+\frac{4}{8}=\frac{9}{8}$
$1.8-\frac{3}{5}=1.8-0.6=1.2$
$1\frac{1}{5}×\frac{5}{12}=\frac{6}{5}×\frac{5}{12}=\frac{1}{2}$
2. 脱式计算。
$72.3×9.9+7.23$
$\frac{11}{15}-(\frac{7}{8}-\frac{4}{15})$
$\frac{11}{12}-\frac{3}{10}-\frac{1}{5}$

答案

$72.3×9.9+7.23$
$=72.3×9.9+72.3×0.1$
$=72.3×(9.9+0.1)$
$=72.3×10$
$=723$
$\frac{11}{15}-(\frac{7}{8}-\frac{4}{15})$
$=\frac{11}{15}-\frac{7}{8}+\frac{4}{15}$
$=\frac{11}{15}+\frac{4}{15}-\frac{7}{8}$
$=1-\frac{7}{8}$
$=\frac{1}{8}$
$\frac{11}{12}-\frac{3}{10}-\frac{1}{5}$
$=\frac{11}{12}-(\frac{3}{10}+\frac{1}{5})$
$=\frac{11}{12}-(\frac{3}{10}+\frac{2}{10})$
$=\frac{11}{12}-\frac{5}{10}$
$=\frac{11}{12}-\frac{1}{2}$
$=\frac{11}{12}-\frac{6}{12}$
$=\frac{5}{12}$
3. 解方程。
$\frac{6}{7}x=\frac{4}{9}$
$7x=14.7$
$6x=\frac{12}{25}$
$\frac{7}{9}x=350$
$x-\frac{1}{6}=\frac{11}{12}$
$1\frac{5}{8}x=\frac{3}{4}$

答案

解:$\frac{6}{7}x=\frac{4}{9}$
$x=\frac{4}{9}÷\frac{6}{7}$
$x=\frac{4}{9}×\frac{7}{6}$
$x=\frac{14}{27}$
解:$7x=14.7$
$x=14.7÷7$
$x=2.1$
解:$6x=\frac{12}{25}$
$x=\frac{12}{25}÷6$
$x=\frac{12}{25}×\frac{1}{6}$
$x=\frac{2}{25}$
解:$\frac{7}{9}x=350$
$x=350÷\frac{7}{9}$
$x=350×\frac{9}{7}$
$x=450$
解:$x-\frac{1}{6}=\frac{11}{12}$
$x=\frac{11}{12}+\frac{1}{6}$
$x=\frac{11}{12}+\frac{2}{12}$
$x=\frac{13}{12}$
解:$1\frac{5}{8}x=\frac{3}{4}$
$\frac{13}{8}x=\frac{3}{4}$
$x=\frac{3}{4}÷\frac{13}{8}$
$x=\frac{3}{4}×\frac{8}{13}$
$x=\frac{6}{13}$