问题 解答题
计算下面各题能简便的尽量简便
(1)24×(
3
4
+
5
6
-
2
3
)

(2)[
4
7
×(
3
5
-0.25)+
3
10
]÷0.5

(3)0.374×48+0.62×37.4-3.74                
(4)0.125×
3
4
+
1
8
×8.25+12.5%
(5)2012÷2012
2012
2013
+
1
2014
答案

(1)24×(

3
4
+
5
6
-
2
3
),

=24×

3
4
+24×
5
6
-24×
2
3

=18+20-16,

=22;

(2)[

4
7
×(
3
5
-0.25)+
3
10
]÷0.5,

=[

4
7
×(
3
5
-
1
4
)+
3
10
],

=

4
7
×(
12
20
-
5
20
)+
3
10

=

4
7
×
7
20
+
3
10

=

2
10
+
3
10

=

1
2

(3)0.374×48+0.62×37.4-3.74,

=0.374×48+62×0.374-0.374×10,

=0.374×(48+62-10),

=0.374×100,

=37.4;              

(4)0.125×

3
4
+
1
8
×8.25+12.5%

=0.125×0.75+0.125×8.25+0.125,

=0.125×(0.75+8.25+1),

=0.125×10,

=1.25;

(5)2012÷2012

2012
2013
+
1
2014

=2012÷

2012×2013+2012
2013
+
1
2014

=2012÷

2012×(2013+1)
2013
+
1
2014

=2012×

2013
2012×2014
+
1
2014

=

2013
2014
+
1
2014

=1.

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