$(1) 3 - \frac{2}{5} - \frac{3}{5} = 3 - [( ) + ( )]
答案
(1)$\frac{2}{5}$ $\frac{3}{5}$
(2)$计算$ \frac{2}{3} - \frac{2}{5} × \frac{5}{7} ÷ \frac{4}{7} $时,应先算( )法,再算( )法,最后算( )法。
答案
(2)乘 除 减
$2. $判断。
$(1) \frac{1}{2} - \frac{1}{2} × \frac{2}{3} ÷ \frac{3}{4} = 0 × \frac{2}{3} ÷ \frac{3}{4} = 0 ($ $)$
$(2) \frac{3}{4} + \frac{1}{4} ÷ \frac{3}{4} + \frac{1}{4} = \frac{3}{4} + \frac{1}{3} + \frac{1}{4} = \frac{4}{3} ($ $)$
$(3) \frac{7}{4} - \frac{3}{4} ÷ \frac{1}{2} = 1 ÷ \frac{1}{2} = 2 ($ $)$
$(1) \frac{1}{2} - \frac{1}{2} × \frac{2}{3} ÷ \frac{3}{4} = 0 × \frac{2}{3} ÷ \frac{3}{4} = 0 ($ $)$
$(2) \frac{3}{4} + \frac{1}{4} ÷ \frac{3}{4} + \frac{1}{4} = \frac{3}{4} + \frac{1}{3} + \frac{1}{4} = \frac{4}{3} ($ $)$
$(3) \frac{7}{4} - \frac{3}{4} ÷ \frac{1}{2} = 1 ÷ \frac{1}{2} = 2 ($ $)$
答案
2.
(1)×
(2)√
(3)×
(1)×
(2)√
(3)×
3. 计算下面各题,注意使计算简便。
$ \frac{10}{3} × \frac{4}{7} + \frac{4}{7} × \frac{20}{3} $
$ \frac{19}{5} × \frac{1}{9} - \frac{1}{5} ÷ 9 $
$ 88 × \frac{5}{87} $
$ \frac{10}{3} × \frac{4}{7} + \frac{4}{7} × \frac{20}{3} $
$ \frac{19}{5} × \frac{1}{9} - \frac{1}{5} ÷ 9 $
$ 88 × \frac{5}{87} $
答案
3. $\frac{40}{7}$ $\frac{2}{5}$ $5\frac{5}{87}$
解析
$\frac{10}{3} × \frac{4}{7} + \frac{4}{7} × \frac{20}{3}$
$=\frac{4}{7}×(\frac{10}{3}+\frac{20}{3})$
$=\frac{4}{7}×10$
$=\frac{40}{7}$
$\frac{19}{5} × \frac{1}{9} - \frac{1}{5} ÷ 9$
$=\frac{19}{5}×\frac{1}{9}-\frac{1}{5}×\frac{1}{9}$
$=\frac{1}{9}×(\frac{19}{5}-\frac{1}{5})$
$=\frac{1}{9}×\frac{18}{5}$
$=\frac{2}{5}$
$88 × \frac{5}{87}$
$=(87+1)×\frac{5}{87}$
$=87×\frac{5}{87}+1×\frac{5}{87}$
$=5+\frac{5}{87}$
$=5\frac{5}{87}$
$=\frac{4}{7}×(\frac{10}{3}+\frac{20}{3})$
$=\frac{4}{7}×10$
$=\frac{40}{7}$
$\frac{19}{5} × \frac{1}{9} - \frac{1}{5} ÷ 9$
$=\frac{19}{5}×\frac{1}{9}-\frac{1}{5}×\frac{1}{9}$
$=\frac{1}{9}×(\frac{19}{5}-\frac{1}{5})$
$=\frac{1}{9}×\frac{18}{5}$
$=\frac{2}{5}$
$88 × \frac{5}{87}$
$=(87+1)×\frac{5}{87}$
$=87×\frac{5}{87}+1×\frac{5}{87}$
$=5+\frac{5}{87}$
$=5\frac{5}{87}$
4. 按要求给下面的算式添上括号,使它的运算顺序成立。
$ \frac{22}{9} × \frac{45}{2} ÷ \frac{11}{5} + 5.8 $
(1)先求和,再求商,最后求积:(
(2)先求商,再求和,最后求积:(
(3)先求商,再求积,最后求和:(
$ \frac{22}{9} × \frac{45}{2} ÷ \frac{11}{5} + 5.8 $
(1)先求和,再求商,最后求积:(
$\frac{22}{9}× [\frac{45}{2}÷ (\frac{11}{5}+5.8)]$
)。(2)先求商,再求和,最后求积:(
$\frac{22}{9}× (\frac{45}{2}÷ \frac{11}{5}+5.8)$
)。(3)先求商,再求积,最后求和:(
$\frac{22}{9}× (\frac{45}{2}÷ \frac{11}{5})+5.8$
)。答案
4.
(1)$\frac{22}{9}× [\frac{45}{2}÷ (\frac{11}{5}+5.8)]$
(2)$\frac{22}{9}× (\frac{45}{2}÷ \frac{11}{5}+5.8)$
(3)$\frac{22}{9}× (\frac{45}{2}÷ \frac{11}{5})+5.8$
(1)$\frac{22}{9}× [\frac{45}{2}÷ (\frac{11}{5}+5.8)]$
(2)$\frac{22}{9}× (\frac{45}{2}÷ \frac{11}{5}+5.8)$
(3)$\frac{22}{9}× (\frac{45}{2}÷ \frac{11}{5})+5.8$
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