题目内容
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 30 |
| 1 |
| 31 |
| 1 |
| 41 |
| 20 |
| 51 |
| 10 |
| 119 |
| 26 |
| 120 |
| 38 |
| 123 |
| 27 |
| 124 |
考点:分数的巧算
专题:计算问题(巧算速算)
分析:此题咋一看,找不到计算的简便方法,但仔细观察,51=3×17,119=7×17,120=4×30,123=3×41,124=4×31,因此把后五个分数进行拆项,通过加减相互抵消,以及加法交换律与结合律,简算即可.
解答:
解:
+
+
+
+
+
+
+
+
+
=
+
+
+
+
+(
+
)+(
-
)+(
-
)+(
-
)+(
-
)
=
+
+
+
+
+
+
=(
+
+
)+(
+
+
)+
=1+1+
=2+
=
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 30 |
| 1 |
| 31 |
| 1 |
| 41 |
| 1 |
| 51 |
| 10 |
| 119 |
| 26 |
| 120 |
| 38 |
| 123 |
| 27 |
| 124 |
=
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 30 |
| 1 |
| 31 |
| 1 |
| 41 |
| 1 |
| 3 |
| 1 |
| 17 |
| 1 |
| 7 |
| 1 |
| 17 |
| 1 |
| 4 |
| 1 |
| 30 |
| 1 |
| 3 |
| 1 |
| 41 |
| 1 |
| 4 |
| 1 |
| 31 |
=
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 7 |
| 1 |
| 4 |
| 1 |
| 3 |
| 1 |
| 4 |
=(
| 1 |
| 2 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 7 |
=1+1+
| 1 |
| 7 |
=2+
| 1 |
| 7 |
=
| 15 |
| 7 |
点评:仔细观察数据,运用拆项的方法以及运用运算定律,灵活简算.
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