(1)
4
13
+(
7
13
-
5
13
)
(2)
7
9
-
5
12
+
5
18
(3)
11
15
-(
4
5
-
4
3
)
(4)2
1
3
-(
1
6
+0.75)
(5)3.74+1
4
9
+2.26+1
5
9
(6)
15
14
×
21
10
÷
3
4
分析:本題要根據(jù)分?jǐn)?shù)的加法、減法、乘法與除法的計(jì)算法則以及四則混合運(yùn)算的運(yùn)算順序計(jì)算即可,其中“3.74+1
4
9
+2.26+1
5
9
”可據(jù)加法交換律及結(jié)合律進(jìn)行計(jì)算.
解答:解:(1)
4
13
+(
7
13
-
5
13
)

=
4
13
+
2
13

=
6
13
;

(2)
7
9
-
5
12
+
5
18

=
28
36
-
15
36
+
10
36

=
23
36
;

(3)
11
15
-(
4
5
-
4
3
)

=
11
15
-(
12
15
-
20
15
)
,
=
11
15
-
12
15
+
20
15
,
=
19
15
;

(4)2
1
3
-(
1
6
+0.75)

=2
1
3
-(
1
6
+
3
4
)
,
=2
1
3
-(
2
12
+
9
12
)
,
=2
1
3
-
11
12

=
28
12
-
11
12
,
=
17
12
;

(5)3.74+1
4
9
+2.26+1
5
9

=(3.74+2.26)+(1
4
9
+1
5
9
)
,
=6+3,
=9;

(6)
15
14
×
21
10
÷
3
4

=
15
14
×
21
10
×
4
3
,
=3.
點(diǎn)評:完成有關(guān)于分?jǐn)?shù)加減法的算式時(shí)要注意通分、約分,結(jié)果要化為最簡分?jǐn)?shù).
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