《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。
$10÷\frac {5}{6}×\frac {4}{5}$ $(\frac {3}{4}+\frac {3}{8})÷\frac {1}{4}$ $\frac {7}{8}÷(\frac {1}{2}-\frac {4}{9})$
$\frac {1}{4}+\frac {5}{6}÷\frac {5}{12}$ $32÷(\frac {4}{3}÷\frac {5}{3})$ $29×\frac {5}{6}+29×\frac {1}{6}$

答案： $10÷\frac {5}{6}×\frac {4}{5}$
$=10×\frac {6}{5}×\frac {4}{5}$
$=12×\frac {4}{5}$
$=\frac {48}{5}$
$(\frac {3}{4}+\frac {3}{8})÷\frac {1}{4}$
$=(\frac {6}{8}+\frac {3}{8})×4$
$=\frac {9}{8}×4$
$=\frac {9}{2}$
$\frac {7}{8}÷(\frac {1}{2}-\frac {4}{9})$
$=\frac {7}{8}÷(\frac {9}{18}-\frac {8}{18})$
$=\frac {7}{8}÷\frac {1}{18}$
$=\frac {7}{8}×18$
$=\frac {63}{4}$
$\frac {1}{4}+\frac {5}{6}÷\frac {5}{12}$
$=\frac {1}{4}+\frac {5}{6}×\frac {12}{5}$
$=\frac {1}{4}+2$
$=2\frac {1}{4}$
$32÷(\frac {4}{3}÷\frac {5}{3})$
$=32÷(\frac {4}{3}×\frac {3}{5})$
$=32÷\frac {4}{5}$
$=32×\frac {5}{4}$
$=40$
$29×\frac {5}{6}+29×\frac {1}{6}$
$=29×(\frac {5}{6}+\frac {1}{6})$
$=29×1$
$=29$

2. 解方程。
$\frac {1}{3}x-\frac {1}{5}x= 6$ $\frac {8}{5}x-6= 22$
$x+\frac {1}{7}x= 40$ $\frac {1}{8}x÷12= 4$

答案： $\frac{1}{3}x - \frac{1}{5}x = 6$
解：$\frac{5}{15}x - \frac{3}{15}x = 6$
$\frac{2}{15}x = 6$
$x = 6 ÷ \frac{2}{15}$
$x = 6 × \frac{15}{2}$
$x = 45$
$\frac{8}{5}x - 6 = 22$
解：$\frac{8}{5}x = 22 + 6$
$\frac{8}{5}x = 28$
$x = 28 ÷ \frac{8}{5}$
$x = 28 × \frac{5}{8}$
$x = \frac{35}{2}$
$x + \frac{1}{7}x = 40$
解：$\frac{7}{7}x + \frac{1}{7}x = 40$
$\frac{8}{7}x = 40$
$x = 40 ÷ \frac{8}{7}$
$x = 40 × \frac{7}{8}$
$x = 35$
$\frac{1}{8}x ÷ 12 = 4$
解：$\frac{1}{8}x = 4 × 12$
$\frac{1}{8}x = 48$
$x = 48 ÷ \frac{1}{8}$
$x = 48 × 8$
$x = 384$

3. 看图列式计算。
(1)
(2)

答案：
(1)$1200÷(1-\frac58)=3200(本)$
(2)$168×(1+\frac27)=216(kg)$