1. 直接写得数。
$\frac{1}{7} × 7 - 1 = $
$\frac{5}{6} × \frac{2}{3} ÷ \frac{5}{6} = $
$1 - \frac{2}{5} - \frac{1}{2} = $
$\frac{3}{10} × \frac{5}{6} = $
$\frac{3}{5} ÷ \frac{3}{5} = $
$\frac{1}{2} × \frac{1}{3} ÷ \frac{1}{2} × \frac{1}{3} = $
$1 ÷ \frac{5}{6} - 1 ÷ \frac{5}{6} = $
$0 × \frac{2}{7} + \frac{2}{9} = $
$12 × (\frac{1}{2} - \frac{1}{3}) = $
$(\frac{4}{5} + \frac{1}{5}) ÷ \frac{1}{8} = $
$\frac{6}{7} × 0 × \frac{8}{15} = $
$1 ÷ 4 × \frac{1}{4} = $

0
$\frac {2}{3}$
$\frac {1}{10}$
$\frac {1}{4}$
1
$\frac {1}{9}$
0
$\frac {2}{9}$
2
8
0
$\frac {1}{16}$

2. 解方程。
$4x ÷ \frac{3}{5} = \frac{4}{5}$
$\frac{3}{4}x - \frac{1}{6}x = \frac{1}{6}$

解：$4x=\frac 45×\frac 35$
$        4x=\frac {12}{25}$
$          x=\frac 3{25}$
解：$\frac 7{12}x=\frac 16$
$             x=\frac 16×\frac {12}7$
$             x=\frac 27$

3. 怎样简便就怎样算。
$\frac{4}{9} × 7 + \frac{4}{9} × 2$
$(\frac{1}{4} + \frac{1}{5} + \frac{1}{6}) × 60$
$7 - \frac{5}{4} × \frac{2}{15} - \frac{5}{6}$
$5 ÷ [(\frac{2}{3} + \frac{1}{5}) × \frac{1}{13}]$

$=\frac {4}{9}×(7+2)$
$=\frac {4}{9}×9$
=4
$=\frac 14×60+\frac 15×60+\frac 16×60$
=15+12+10
=37
$=7-\frac 16-\frac 56$
$ =7-(\frac 16+\frac 56)$
=7-1
=6
$=5÷[\frac {13}{15}×\frac 1{13}]$
$ =5÷\frac 1{15}$
=75