(1)30×(
1
5
+
1
3

(2)
2
3
×
5
7
+
2
3
×
2
7

(3)
3
4
×
1
9
+
1
4
÷9
(4)5-(
6
7
÷
3
14
+
3
16
分析:(1)(2)運(yùn)用乘法分配律簡(jiǎn)算;
(3)把除法變?yōu)槌朔,運(yùn)用乘法分配律簡(jiǎn)算;
(4)先算括號(hào)內(nèi)的除法,然后運(yùn)用減法的性質(zhì)簡(jiǎn)算.
解答:解:(1)30×(
1
5
+
1
3

=30×
1
5
+
1
3
×30
=6+10
=16;

(2)
2
3
×
5
7
+
2
3
×
2
7

=
2
3
×(
5
7
+
2
7

=
2
3
×1
=
2
3
;

(3)
3
4
×
1
9
+
1
4
÷9
=
3
4
×
1
9
+
1
4
×
1
9

=(
3
4
+
1
4
)×
1
9

=1×
1
9

=
1
9


(4)5-(
6
7
÷
3
14
+
3
16

=5-(
6
7
×
14
3
+
3
16

=5-(4+
3
16

=5-4-
3
16

=
13
16
點(diǎn)評(píng):此題主要考查了分?jǐn)?shù)四則運(yùn)算的簡(jiǎn)便計(jì)算,注意分析數(shù)據(jù),選擇恰當(dāng)?shù)姆椒ㄟM(jìn)行簡(jiǎn)算.
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