题目内容

下面各题怎样简便就怎样算.
5
18
×
1
4
×
9
10
1
4
+
2
9
)×36
7
11
×
3
8
×
4
9
3
5
×
11
15
+
4
15
×
3
5
)÷
3
5
7
9
+
6
13
+
2
9
+
7
13
6
7
×
8
13
+
1
7
×
8
13
分析:(1)(3)约分计算即可求解;
(2)(6)根据乘法分配律简便计算;
(4)小括号里面根据乘法分配律简便计算;
(5)先算同分母分数,再相加即可求解.
解答:解:
5
18
×
1
4
×
9
10

=(
5
18
×
9
10
)×
1
4

=
1
4
×
1
4

=
1
16


(2)(
1
4
+
2
9
)×36
=
1
4
×36+
2
9
×36
=9+8
=17;

(3)
7
11
×
3
8
×
4
9

=
7
11
×(
3
8
×
4
9

=
7
11
×
1
6

=
7
66


(4)(
3
5
×
11
15
+
4
15
×
3
5
)÷
3
5

=
3
5
×(
11
15
+
4
15
)÷
3
5

=
3
5
×1÷
3
5

=
3
5
÷
3
5

=1;

(5)
7
9
+
6
13
+
2
9
+
7
13

=(
7
9
+
2
9
)+(
7
13
+
6
13

=1+1
=2;

(6)13+
1
7
×
8
13

=13+
8
91

=13
8
91
点评:此题主要考查分数的四则混合运算的运算顺序和应用运算定律进行简便计算.
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