《2025年同步练习西南大学出版社六年级数学上册西师大版四川专版》

1. 口算。
$\dfrac{3}{5}÷3=$$\dfrac{1}{5}$ $\dfrac{3}{7}×2=$$\dfrac{6}{7}$ $\dfrac{1}{2}÷3=$$\dfrac{1}{6}$ $3÷\dfrac{3}{5}=$5
$\dfrac{2}{5}÷\dfrac{1}{5}=$2 $\dfrac{1}{4}÷\dfrac{2}{3}=$$\dfrac{3}{8}$ $\dfrac{1}{3}÷\dfrac{1}{2}=$$\dfrac{2}{3}$ $6×\dfrac{1}{3}=$2

答案： $\dfrac{3}{5}÷3=\dfrac{1}{5}$；$\dfrac{3}{7}×2=\dfrac{6}{7}$；$\dfrac{1}{2}÷3=\dfrac{1}{6}$；$3÷\dfrac{3}{5}=5$；$\dfrac{2}{5}÷\dfrac{1}{5}=2$；$\dfrac{1}{4}÷\dfrac{2}{3}=\dfrac{3}{8}$；$\dfrac{1}{3}÷\dfrac{1}{2}=\dfrac{2}{3}$；$6×\dfrac{1}{3}=2$

2. 在$◯$里填“$＞$”或“$＜$”。
$\dfrac{6}{7}÷3◯\dfrac{6}{7}$ $\dfrac{6}{7}÷\dfrac{3}{4}◯\dfrac{6}{7}$
$\dfrac{6}{7}×3◯\dfrac{6}{7}$ $\dfrac{6}{7}×\dfrac{3}{4}◯\dfrac{6}{7}$
＜；＞；＞；＜

答案： $\dfrac{6}{7}÷3=\dfrac{6}{7}×\dfrac{1}{3}=\dfrac{2}{7}$，因为$\dfrac{2}{7}＜\dfrac{6}{7}$，所以$\dfrac{6}{7}÷3＜\dfrac{6}{7}$；
$\dfrac{6}{7}÷\dfrac{3}{4}=\dfrac{6}{7}×\dfrac{4}{3}=\dfrac{8}{7}$，因为$\dfrac{8}{7}＞\dfrac{6}{7}$，所以$\dfrac{6}{7}÷\dfrac{3}{4}＞\dfrac{6}{7}$；
$\dfrac{6}{7}×3=\dfrac{18}{7}$，因为$\dfrac{18}{7}＞\dfrac{6}{7}$，所以$\dfrac{6}{7}×3＞\dfrac{6}{7}$；
$\dfrac{6}{7}×\dfrac{3}{4}=\dfrac{9}{14}$，$\dfrac{6}{7}=\dfrac{12}{14}$，因为$\dfrac{9}{14}＜\dfrac{12}{14}$，所以$\dfrac{6}{7}×\dfrac{3}{4}＜\dfrac{6}{7}$。
$＜$；$＞$；$＞$；$＜$

3. 计算。
$\dfrac{2}{3}×\dfrac{3}{5}÷\dfrac{7}{10}$ $\dfrac{8}{9}÷\dfrac{5}{6}×\dfrac{5}{8}$
$21÷\dfrac{7}{8}÷\dfrac{3}{4}$ $7×\dfrac{5}{28}÷\dfrac{9}{10}$

答案： 1.
$\dfrac{2}{3} × \dfrac{3}{5} ÷ \dfrac{7}{10}$
$=\dfrac{2}{3} × \dfrac{3}{5} × \dfrac{10}{7}$
$=\dfrac{2}{5} × \dfrac{10}{7}$
$=\dfrac{4}{7}$
2.
$\dfrac{8}{9} ÷ \dfrac{5}{6} × \dfrac{5}{8}$
$=\dfrac{8}{9} × \dfrac{6}{5} × \dfrac{5}{8}$
$=\dfrac{8 × 6 × 5}{9 × 5 × 8}$
$=\dfrac{2}{3}$
3.
$21 ÷ \dfrac{7}{8} ÷ \dfrac{3}{4}$
$=21 × \dfrac{8}{7} × \dfrac{4}{3}$
$=24 × \dfrac{4}{3}$
$=32$
4.
$7 × \dfrac{5}{28} ÷ \dfrac{9}{10}$
$=\dfrac{35}{28} × \dfrac{10}{9}$
$=\dfrac{5}{4} × \dfrac{10}{9}$
$=\dfrac{25}{18}$