问题 解答题
计算各题,能简便运算的写出主要过程.
36×(
1
4
+
1
6
+
1
9
)=
5
9
×7+
5
9
×11=
23-
8
9
×
3
4
÷
1
27
=
[1-(
1
4
+
3
8
)]÷
1
4
=
答案

(1)36×(

1
4
+
1
6
+
1
9
),

=36×

1
4
+36×
1
6
+36×
1
9

=9+6+4,

=15+4,

=19;

(2)

5
9
×7+
5
9
×11,

=

5
9
×(7+11),

=

5
9
×18,

=10;

(3)23-

8
9
×
3
4
÷
1
27

=23-

2
3
÷
1
27

=23-18,

=5;

(4)[1-(

1
4
+
3
8
)]÷
1
4

=[1-

5
8
1
4

=

3
8
÷
1
4

=

3
2

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