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(2004•无锡)用递等式计算,能简算的简算(1)85×54÷18+745(2)3.4÷[(1.25+0.45)×23](3)35×(1−37)÷512(4)(156×413−26)×811(5)78×1213+78÷13.

题目详情
(2004•无锡)用递等式计算,能简算的简算
(1)85×54÷18+745
(2)3.4÷[(1.25+0.45)×23]
(3)35×(1−
3
7
5
12

(4)(156×
4
13
−26)×
8
11

(5)
7
8
×
12
13
+
7
8
÷13.
▼优质解答
答案和解析

(1)85×54÷18+745
=85×(54÷18)+745,
=85×3+745,
=255+745,
=1000;

(2)3.4÷[(1.25+0.45)×23]
=3.4÷(1.25+0.45)÷23,
=3.4÷1.7÷23,
=2÷23,
=
2
23


(3)35×(1−
3
7
5
12

=35×
4
7
÷
5
12

=20÷
5
12

=48;

(4)(156×
4
13
−26)×
8
11

=(48-26)×
8
11

=22×
8
11

=16;

(5)
7
8
×
12
13
+
7
8
÷13
=
7
8
×
12
13
+
7
8
×
1
13

=
7
8
×(
12
13
+
1
13
),
=
7
8