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)從左向右進行計算即可,
(3)運用乘法的分配律進行簡算,
(4)先算小括號里的減法,再算括號外的除法,
(5)根據(jù)等式的基本性質(zhì),方程的兩邊同時乘以2,再同時除以
4
5
求解即可,
(6)先化簡方程,再根據(jù)等式的基本性質(zhì),方程的兩邊同時除以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.
點評:此題考查了分數(shù)、小數(shù)四則混合運算的順序及利用等式的基本性質(zhì)來求方程的解,解方程時注意等號對齊.
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