2026年智慧学习明天出版社六年级数学上册人教版第19页答案
5.计算下面各题。
$\frac{1}{8} + \frac{7}{8} × \frac{3}{14}$
$\frac{5}{7} - \frac{2}{7} × \frac{5}{6}$
$1 - \frac{5}{24} × \frac{9}{20}$
$\frac{1}{3} + \frac{5}{8} × \frac{4}{15}$
$\frac{6}{23} × ( \frac{1}{8} + \frac{5}{6} )$
$\frac{1}{2} - \frac{7}{8} × \frac{1}{14}$

答案

$\frac{1}{8} + \frac{7}{8} × \frac{3}{14}$
$=\frac{1}{8}+\frac{3}{16}$
$=\frac{5}{16}$
$\frac{5}{7} - \frac{2}{7} × \frac{5}{6}$
$=\frac{5}{7}-\frac{5}{21}$
$=\frac{10}{21}$
$1 - \frac{5}{24} × \frac{9}{20}$
$=1-\frac{3}{32}$
$=\frac{29}{32}$
$\frac{1}{3} + \frac{5}{8} × \frac{4}{15}$
$=\frac{1}{3}+\frac{1}{6}$
$=\frac{1}{2}$
$\frac{6}{23} × ( \frac{1}{8} + \frac{5}{6} )$
$=\frac{6}{23}×\frac{23}{24}$
$=\frac{1}{4}$
$\frac{1}{2} - \frac{7}{8} × \frac{1}{14}$
$=\frac{1}{2}-\frac{1}{16}$
$=\frac{7}{16}$
6. 计算下面各题,能简算的要简算。
$8.7×\frac{4}{5}+1.3×\frac{4}{5}$
$\frac{4}{9}×\frac{2}{7}×18$
$27×(\frac{8}{9}+\frac{4}{27})$
$\frac{4}{19}×25×\frac{3}{5}×19$
$\frac{5}{12}×11+\frac{5}{12}$
$3.3×\frac{3}{8}-2.3×\frac{3}{8}$
$101×\frac{1}{3}-\frac{1}{3}$
$(\frac{1}{4}+\frac{1}{3})×24$
$\frac{4}{7}×22+\frac{4}{7}×13$

答案

$8.7×\frac{4}{5}+1.3×\frac{4}{5}$
$=(8.7+1.3)×\frac{4}{5}$
$=10×\frac{4}{5}$
$=8$
$\frac{4}{9}×\frac{2}{7}×18$
$=\frac{4}{9}×18×\frac{2}{7}$
$=8×\frac{2}{7}$
$=\frac{16}{7}$
$27×(\frac{8}{9}+\frac{4}{27})$
$=27×\frac{8}{9}+27×\frac{4}{27}$
$=24+4$
$=28$
$\frac{4}{19}×25×\frac{3}{5}×19$
$=(\frac{4}{19}×19)×(25×\frac{3}{5})$
$=4×15$
$=60$
$\frac{5}{12}×11+\frac{5}{12}$
$=\frac{5}{12}×(11+1)$
$=\frac{5}{12}×12$
$=5$
$3.3×\frac{3}{8}-2.3×\frac{3}{8}$
$=(3.3-2.3)×\frac{3}{8}$
$=1×\frac{3}{8}$
$=\frac{3}{8}$
$101×\frac{1}{3}-\frac{1}{3}$
$=(101-1)×\frac{1}{3}$
$=100×\frac{1}{3}$
$=\frac{100}{3}$
$(\frac{1}{4}+\frac{1}{3})×24$
$=\frac{1}{4}×24+\frac{1}{3}×24$
$=6+8$
$=14$
$\frac{4}{7}×22+\frac{4}{7}×13$
$=\frac{4}{7}×(22+13)$
$=\frac{4}{7}×35$
$=20$