《2025年作业本浙江教育出版社六年级数学上册北师大版》

1. 计算。
$\frac {3}{4}×\frac {6}{13}÷\frac {9}{26}$ $(\frac {2}{3}+\frac {2}{9})÷\frac {20}{21}$ $\frac {15}{49}×(\frac {14}{3}-\frac {7}{5})$ $\frac {1}{3}+\frac {7}{8}÷\frac {7}{16}$
$24×(\frac {1}{2}+\frac {2}{3}-\frac {1}{6})$ $\frac {4}{25}×37+\frac {4}{25}×63$ $(\frac {1}{2}-\frac {1}{6})×\frac {3}{10}÷\frac {1}{5}$

答案： $\frac{3}{4}×\frac{6}{13}÷\frac{9}{26}$
$=\frac{3}{4}×\frac{6}{13}×\frac{26}{9}$
$=\frac{3×6×26}{4×13×9}$
$=\frac{3×6×2}{4×9}$
$=\frac{36}{36}$
$=1$
$(\frac{2}{3}+\frac{2}{9})÷\frac{20}{21}$
$=(\frac{6}{9}+\frac{2}{9})×\frac{21}{20}$
$=\frac{8}{9}×\frac{21}{20}$
$=\frac{168}{180}$
$=\frac{14}{15}$
$\frac{15}{49}×(\frac{14}{3}-\frac{7}{5})$
$=\frac{15}{49}×(\frac{70}{15}-\frac{21}{15})$
$=\frac{15}{49}×\frac{49}{15}$
$=1$
$\frac{1}{3}+\frac{7}{8}÷\frac{7}{16}$
$=\frac{1}{3}+\frac{7}{8}×\frac{16}{7}$
$=\frac{1}{3}+2$
$=2\frac{1}{3}$
$24×(\frac{1}{2}+\frac{2}{3}-\frac{1}{6})$
$=24×\frac{1}{2}+24×\frac{2}{3}-24×\frac{1}{6}$
$=12 + 16 - 4$
$=24$
$\frac{4}{25}×37+\frac{4}{25}×63$
$=\frac{4}{25}×(37 + 63)$
$=\frac{4}{25}×100$
$=16$
$(\frac{1}{2}-\frac{1}{6})×\frac{3}{10}÷\frac{1}{5}$
$=(\frac{3}{6}-\frac{1}{6})×\frac{3}{10}×5$
$=\frac{2}{6}×\frac{3}{10}×5$
$=\frac{1}{3}×\frac{3}{10}×5$
$=\frac{1}{10}×5$
$=\frac{1}{2}$

2. 解方程。
$\frac {4}{9}x-\frac {1}{3}x= \frac {11}{9}$ $x+\frac {1}{7}x= \frac {5}{14}$
$\frac {5}{9}x-\frac {1}{12}= \frac {7}{12}$ $2x+\frac {1}{5}x= 22$

答案： $\frac{4}{9}x - \frac{1}{3}x = \frac{11}{9}$
解：$\frac{4}{9}x - \frac{3}{9}x = \frac{11}{9}$
$\frac{1}{9}x = \frac{11}{9}$
$x = \frac{11}{9} ÷ \frac{1}{9}$
$x = 11$
$x + \frac{1}{7}x = \frac{5}{14}$
解：$\frac{7}{7}x + \frac{1}{7}x = \frac{5}{14}$
$\frac{8}{7}x = \frac{5}{14}$
$x = \frac{5}{14} ÷ \frac{8}{7}$
$x = \frac{5}{14} × \frac{7}{8}$
$x = \frac{5}{16}$
$\frac{5}{9}x - \frac{1}{12} = \frac{7}{12}$
解：$\frac{5}{9}x = \frac{7}{12} + \frac{1}{12}$
$\frac{5}{9}x = \frac{8}{12}$
$\frac{5}{9}x = \frac{2}{3}$
$x = \frac{2}{3} ÷ \frac{5}{9}$
$x = \frac{2}{3} × \frac{9}{5}$
$x = \frac{6}{5}$
$2x + \frac{1}{5}x = 22$
解：$\frac{10}{5}x + \frac{1}{5}x = 22$
$\frac{11}{5}x = 22$
$x = 22 ÷ \frac{11}{5}$
$x = 22 × \frac{5}{11}$
$x = 10$

3. 看图列式计算。
(1)240×(1-$\frac{2}{5}$)=144(页)
(2)120÷(1+$\frac{3}{7}$)=84(人)

答案：
(1)240×(1-$\frac{2}{5}$)=144(页)
(2)120÷(1+$\frac{3}{7}$)=84(人)