题目内容

怎样简便就怎样算
[1-(
1
4
+
3
8
)]÷
1
4
13÷25%÷4
2
9
+
1
2
÷
4
5
+
3
8
8
13
÷7+
1
7
×
6
13
12
5
×(
5
6
+
3
4
)+
4
5
10÷
2
9
+
1
6
×4
7
9
÷
11
5
+
2
9
×
5
11
1
6
×
2
3
÷(
4
5
-
8
15
1
12
+
1
2
-
7
12
)÷
1
7
44×
2
43
分析:分数的四则混合运算规律遵从整数的四则混合运算,先算乘除,后算加减,有括号的先算括号内的;分数乘以整数,分母不变,分子相乘;除以一个分数,等于乘以这个分数的倒数.
解答:
解:[1-(
1
4
+
3
8
)]÷
1
4

=(1-
5
8
)×4,
=
3
8
×4,
=
3
2

=1
1
2
8
13
÷7+
1
7
×
6
13

=
8
13
×
1
7
+
1
7
×
6
13

=
1
7
×(
8
13
+
6
13
),
=
1
7
×
14
13

=
2
13
7
9
÷
11
5
+
2
9
×
5
11

=
7
9
×
5
11
+
2
9
×
5
11

=
5
11
×(
7
9
+
2
9
),
=
5
11
×1,
=
5
11
44×
2
43

=(43+1)×
2
43

=43×
2
43
+1×
2
43

=2+
2
43

=2
2
43
13÷25%÷4,
=13÷(25%×4),
=13÷1,
=13;
12
5
×(
5
6
+
3
4
)+
4
5

=
12
5
×
5
6
+
12
5
×
3
4
+
4
5

=2+
9
5
+
4
5

=2+2
3
5

=4
3
5

1
6
×
2
3
÷(
4
5
-
8
15
),
=
1
9
÷(
12
15
-
8
15
),
=
1
9
÷
4
15

=
1
9
×
15
4

=
5
12

2
9
+
1
2
÷
4
5
+
3
8

=
2
9
+
1
2
×
5
4
+
3
8

=
2
9
+
5
8
+
3
8

=
2
9
+1,
=1
2
9

10÷
2
9
+
1
6
×4,
=10×
9
2
+
2
3

=45+
2
3

=45
2
3

1
12
+
1
2
-
7
12
)÷
1
7

=(
1
12
+
6
12
-
7
12
)÷
1
7

=0÷
1
7

=0.
点评:此题考查了分数的四则混合运算,认真解答是关键.记住:0除以任何数(0除外)都得0.
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