题目内容

计算下面各题.

3
4
÷
7
8
÷
15
14
=
4
5
×
1
7
÷
2
5
=
4
5
+
3
10
)÷
3
10
=
7
9
÷
11
5
+
2
9
×
5
11
=
 
3
4
+
2
3
×
21
8
=
 510÷[42×(
5
6
-
3
7
)].
分析:(1)按照从左向右的顺序进行计算;
(2)按照从左向右的顺序进行计算;
(3)先算加法,再算除法;
(4)根据乘法分配律进行计算;
(5)先算乘法,再算加法;
(6)中括号里面的根据乘法分配律进行计算,最后算除法.
解答:解:
(1)
3
4
÷
7
8
÷
15
14

=
6
7
÷
15
14

=
4
5


(2)
4
5
×
1
7
÷
2
5

=
4
35
÷
2
5

=
2
7


(3)(
4
5
+
3
10
)÷
3
10

=
11
10
÷
3
10

=
11
3


(4)
7
9
÷
11
5
+
2
9
×
5
11

=
7
9
×
5
11
+
2
9
×
5
11

=(
7
9
+
2
9
)×
5
11

=
5
11


(5)
3
4
+
2
3
×
21
8

=
3
4
+
7
4

=
5
2


(6)510÷[42×(
5
6
-
3
7
)],
=510÷[42×
5
6
-42×
3
7
],
=510÷[35-18],
=510÷17,
=30.
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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