简便计算. ①111111÷1111×3333=_ ②6.25×0.16+2.64×0.0625+5.2×6.25=_ ③1/2-1/3+1/4-1/5+1/6-1/12=_.

问题描述:

简便计算.
①111111÷1111×3333=______
②6.25×0.16+2.64×0.0625+5.2×6.25=______

1
2
-
1
3
+
1
4
-
1
5
+
1
6
-
1
12
=______.

①111111÷1111×3333,
=111111×3333÷1111,
=111111×(3333÷1111),
=111111×3,
=333333;
②6.25×0.16+264×0.0625+5.2×6.25,
=6.25×0.16+2.64×6.25+5.2×6.25,
=6.25×(0.16+2.64+5.2),
=6.25×8,
=(6+0.25)×8,
=48+2,
=50;

1
2
-
1
3
+
1
4
-
1
5
+
1
6
-
1
12

=(1-
1
2
)-
1
3
+
1
4
-
1
5
+(
1
2
-
1
3
)-(
1
3
-
1
4
),
=1-
1
2
+
1
2
-(
1
3
+
1
3
+
1
3
)+(
1
4
+
1
4
-
1
5
),
=
1
4
+
1
4
-
1
5

=
1
2
-
1
5

=
3
10

故答案为:333333,50,
3
10