问题 解答题
脱式计算下面各题(能简算的要简算)
①(
11
12
-
3
4
)÷(2-
1
2

1
1×2
+
1
2×3
+
1
3×4
+
1
4×5
+
1
5×6
+
1
7×8

③(
5
7
-
4
21
)÷
5
21

④30.8÷[14-(9.85+1.07)].
答案

①(

11
12
-
3
4
)÷(2-
1
2
),

=(

11
12
-
9
12
)÷
3
2

=

1
6
×
2
3

=

1
9

1
1×2
+
1
2×3
+
1
3×4
+
1
4×5
+
1
5×6
+
1
7×8

=(1-

1
2
)+(
1
2
-
1
3
)+(
1
3
-
1
4
)+(
1
4
-
1
5
)+(
1
5
-
1
6
)+(
1
7
-
1
8
),

=1-

1
2
+
1
2
-
1
3
+
1
3
-
1
4
+
1
4
-
1
5
+
1
5
-
1
6
+
1
7
-
1
8

=1-

1
6
+
1
7
-
1
8

=

5
6
+
1
56

=

143
168

③(

5
7
-
4
21
)÷
5
21

=(

15
21
-
4
21
)×
21
5

=

11
21
×
21
5

=

11
5

=2

1
5

④30.8÷[14-(9.85+1.07)],

=30.8÷(14-10.92),

=30.8÷3.08,

=10.

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