题目内容

计算,能简算的要简算.
7
10
÷13+
12
13
×
7
10

(
3
4
+
1
4
÷
3
10
)
×12
(
5
8
+37.5%)
÷(
21
10
-209%)

7
9
÷[(
1
3
+
1
4
)×4]
分析:(1)把除法改为乘法,运用乘法分配律简算;
(2)把括号内的除法改为乘法,运用乘法分配律简算;
(3)把百分数、分数分别改成小数,再计算;
(4)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
10
÷13+
12
13
×
7
10

=
7
10
×
1
13
+
12
13
×
7
10

=
7
10
×(
1
13
+
12
13
),
=
7
10
×1,
=
7
10


(2)(
3
4
+
1
4
÷
3
10
)×12,
=(
3
4
+
1
4
×
10
3
)×12,
=(
3
4
+
5
6
)×12,
=
3
4
×12+
5
6
×12,
=9+10,
=19;

(3)(
5
8
+37.5%)÷(
21
10
-209%),
=(0.625+0.375)÷(2.1-2.09),
=1÷0.01,
=100;

(4)
7
9
÷[(
1
3
+
1
4
)×4],
=
7
9
÷[
7
12
×4],
=
7
9
÷
7
3

=
7
9
×
3
7

=
1
3
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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