题目内容

计算,能简算的要简算
2
5
÷
1
3
÷
5
9
1
4
+18×0.25
44×(
5
11
-
1
4
(1-
1
6
÷
5
12
)×
7
6
分析:(1)把除法变为乘法,计算即可;
(2)把分数化为小数,运用乘法分配律简算;
(3)运用乘法分配律简算;
(4)先算括号内的除法,再算括号内的减法,最后算括号外的乘法.
解答:解:(1)
2
5
÷
1
3
÷
5
9

=
2
5
×3×
9
5

=
54
25


(2)6×0.25+18×0.25,
=6×0.25+18×0.25,
=(6+18)×0.25,
=24×0.25,
=3×(8×0.25),
=3×2,
=6;

(3)44×(
5
11
-
1
4
),
=44×
5
11
-44×
1
4

=20-11,
=9;

(4)(1-
1
6
÷
5
12
)×
7
6

=(1-
1
6
×
12
5
)×
7
6

=(1-
2
5
)×
7
6

=
3
5
×
7
6

=
7
10
点评:考查了小数、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律简便计算.
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