题目内容

7
24
×
3
5
÷
21
5
15
36
÷(
1
3
-
1
18
(125+
1
32
)×8
1
9
×24+24×
8
9
12×(
1
4
+
1
6
-
1
3
5
9
÷
2
5
×
9
25
17
24
×
3
4
+
17
24
÷4
3
7
×(1+
2
5
)〕÷
13
15
考点:分数的四则混合运算,分数的简便计算
专题:运算顺序及法则
分析:(1)(6)把除法改为乘法,约分计算.
(2)先算括号内的,再算括号外的.
(3)(4)(5)运用乘法分配律简算.
(7)把除法改为乘法,运用乘法分配律简算.
(8)先算小括号内的,再算中括号内的,最后算括号外的.
解答: 解:(1)
7
24
×
3
5
÷
21
5

=
7
24
×
3
5
×
5
21

=
1
24


(2)
15
36
÷(
1
3
-
1
18

=
15
36
÷
5
18

=
15
36
×
18
5

=
3
2


(3)(125+
1
32
)×8
=125×8+
1
32
×8
=1000+
1
4

=1000
1
4


(4)
1
9
×24+24×
8
9

=(
1
9
+
8
9
)×24
=1×24
=24

(5)12×(
1
4
+
1
6
-
1
3

=12×
1
4
+12×
1
6
-12×
1
3

=3+2-4
=1

(6)
5
9
÷
2
5
×
9
25

=
5
9
×
5
2
×
9
25

=
1
2


(7)
17
24
×
3
4
+
17
24
÷4
=
17
24
×
3
4
+
17
24
×
1
4

=
17
24
×(
3
4
+
1
4

=
17
24
×1
=
17
24


(8)[
3
7
×(1+
2
5
)]÷
13
15

=[
3
7
×
7
5
13
15

=
3
5
×
15
13

=
9
13
点评:此题考查了分数的四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算定律简便计算.
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