不改变分式的值,使下列分式的分子与分母的系数均为整数: (1)3a−3/4b1/3a+1/2b=_; (2)0.1x−0.03yo.4x+0.1y=_; (3)0.5m−0.2nm/3+2n=_.

问题描述:

不改变分式的值,使下列分式的分子与分母的系数均为整数:
(1)

3a−
3
4
b
1
3
a+
1
2
b
=______;
(2)
0.1x−0.03y
o.4x+0.1y
=______;
(3)
0.5m−0.2n
m
3
+2n
=______.

(1)

3a−
3
4
b
1
3
a+
1
2
b
=
(3a−
3
4
b)×12
(
1
3
a+
1
2
b)×12
=
36a−9b
4a+6b

(2)
0.1x−0.03y
o.4x+0.1y
=
(0.1x−0.03y)×100
(0.4x+0.1y)×100
=
10x−3y
40x+10y

(3)
0.5m−0.2n
m
3
+2n
=
(0.5m−0.2n)×30
(
m
3
+2n)×30
=
15m−6n
10m+60n

故答案为
36a−9b
4a+6b
10x−3y
40x+10y
15m−6n
10m+60n