2026年计算素养提升六年级数学下册北师大版第27页答案
1. 解比例。
$x:10=\frac{1}{4}:\frac{1}{3}$ $x:\frac{1}{14}=0.7:\frac{1}{2}$
$1.25:0.25=x:1.6$ $\frac{5}{8}:\frac{1}{6}=x:\frac{1}{12}$
$\frac{1}{2}:\frac{1}{5}=\frac{1}{4}:x$ $0.8:4=x:8$

答案

解:
$x:10=\frac{1}{4}:\frac{1}{3}$
$\frac{1}{3}x=10×\frac{1}{4}$
$\frac{1}{3}x=\frac{5}{2}$
$x=\frac{15}{2}$(或$7.5$)
$x:\frac{1}{14}=0.7:\frac{1}{2}$
$\frac{1}{2}x=\frac{1}{14}×0.7$
$\frac{1}{2}x=\frac{1}{20}$
$x=\frac{1}{10}$(或$0.1$)
$1.25:0.25=x:1.6$
$0.25x=1.25×1.6$
$0.25x=2$
$x=8$
$\frac{5}{8}:\frac{1}{6}=x:\frac{1}{12}$
$\frac{1}{6}x=\frac{5}{8}×\frac{1}{12}$
$\frac{1}{6}x=\frac{5}{96}$
$x=\frac{5}{16}$
$\frac{1}{2}:\frac{1}{5}=\frac{1}{4}:x$
$\frac{1}{2}x=\frac{1}{5}×\frac{1}{4}$
$\frac{1}{2}x=\frac{1}{20}$
$x=\frac{1}{10}$(或$0.1$)
$0.8:4=x:8$
$4x=0.8×8$
$4x=6.4$
$x=1.6$
2. 脱式计算。(能简算的要简算)
$18×9.9−8×9.9$ $125×0.25×4×8$
$199×25×0.4$ $77.7×11+11×22.3$
$\frac{1}{4}×\frac{11}{13}+\frac{2}{13}÷4$ $(\frac{1}{69}+\frac{2}{71})×23+\frac{25}{71}$

答案

$18×9.9−8×9.9$
$=(18−8)×9.9$
$=10×9.9$
$=99$
$125×0.25×4×8$
$=(125×8)×(0.25×4)$
$=1000×1$
$=1000$
$199×25×0.4$
$=199×(25×0.4)$
$=199×10$
$=1990$
$77.7×11+11×22.3$
$=(77.7+22.3)×11$
$=100×11$
$=1100$
$\frac{1}{4}×\frac{11}{13}+\frac{2}{13}÷4$
$=\frac{1}{4}×\frac{11}{13}+\frac{2}{13}×\frac{1}{4}$
$=\frac{1}{4}×(\frac{11}{13}+\frac{2}{13})$
$=\frac{1}{4}×1$
$=\frac{1}{4}$
$(\frac{1}{69}+\frac{2}{71})×23+\frac{25}{71}$
$=\frac{1}{69}×23+\frac{2}{71}×23+\frac{25}{71}$
$=\frac{1}{3}+\frac{46}{71}+\frac{25}{71}$
$=\frac{1}{3}+(\frac{46}{71}+\frac{25}{71})$
$=\frac{1}{3}+1$
$=1\frac{1}{3}$