精英家教网 > 小学数学 > 题目详情
1
6
+
5
6
×
5
6
16
5
×3
÷
4
5
7
8
×
12
11
-
3
8
×
12
11
④(3-1.4)÷
8
15
⑤解方程:
4
5
x÷2=
7
16
⑥解方程:x-15%x=37.4.
分析:(1)先算乘法,再算加法,
(2)从左向右进行计算即可,
(3)运用乘法的分配律进行简算,
(4)先算小括号里的减法,再算括号外的除法,
(5)根据等式的基本性质,方程的两边同时乘以2,再同时除以
4
5
求解即可,
(6)先化简方程,再根据等式的基本性质,方程的两边同时除以85%求解即可.
解答:解:(1)
1
6
+
5
6
×
5
6

=
1
6
+
25
36

=
31
36


(2)
16
5
×3÷
4
5

=
48
5
÷
4
5

=12;

(3)
7
8
×
12
11
-
3
8
×
12
11

=(
7
8
-
3
8
)×
12
11

=
1
2
×
12
11

=
6
11


(4)(3-1.4)÷
8
15

=1.6÷
8
15

=3;

(5)
4
5
x÷2=
7
16

 
4
5
x÷2×2=
7
16
×2,
        
4
5
x=
7
8

   
4
5
4
5
=
7
8
÷
4
5

         x=
35
32


(6)x-15%x=37.4,
       85%x=37.4,
  85%x÷85%=37.4÷85%,
          x=44.
点评:此题考查了分数、小数四则混合运算的顺序及利用等式的基本性质来求方程的解,解方程时注意等号对齐.
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