题目内容

(2012?资中县模拟)
灵活计算下面各题.
7
10
÷
1
5
+
3
8
×
2
3
5
6
-
1
4
+
5
12
)×24
3
8
×1
1
4
+1.25×
5
8
+125%
20÷[1-(
1
4
+
1
3
)]
[2-(1
2
3
-1.5)÷1
5
12
6
3
8
540÷12×9+482.
分析:算式(1)(4)(5)(6)根据四则混合运算的运算顺序计算即可;
算式(2)(3)可根据乘法分配律进行计算.
解答:解:(1)
7
10
÷
1
5
+
3
8
×
2
3

=
7
2
+
1
4

=
15
4


(2)(
5
6
-
1
4
+
5
12
)×24,
=
5
6
×24-
1
4
×24+
5
12
×24,
=20-6+10,
=24;

(3)
3
8
×1
1
4
+1.25×
5
8
+125%,
=
3
8
×1.25+1.25×
5
8
+1.25,
=(
3
8
+
5
8
+1)×1.25,
=2×1.25,
=2.5;

(4)20÷[1-(
1
4
+
1
3
)],
=20÷[1-
7
12
],
=20÷
5
12

=48;

(5)[2-(1
2
3
-1.5)÷1
5
12
6
3
8

=[2-(
5
3
-
3
2
)×
12
17
51
8

=[2-
1
6
×
12
17
51
8

=[2-
2
17
51
8

=
32
17
×
51
8

=12;

(6)540÷12×9+482
=45×9+482,
=405+482,
=887.
点评:完成本题要注意分析式中数据的特点及内在联系,然后运用合适的方法进行计算.
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