题目内容
计算:76×(
-
)+23×(
+
)-53×(
-
)=
| 1 |
| 23 |
| 1 |
| 53 |
| 1 |
| 53 |
| 1 |
| 76 |
| 1 |
| 23 |
| 1 |
| 76 |
1
1
.分析:本题先用乘法分配律展开,再重新用加法结合律重新组合,同分母的分数放在一起,再用乘法分配律简算.
解答:解:76×(
-
)+23×(
+
)-53×(
-
)
=76×
-76×
+23×
+23×
-53×
+53×
=76×
-53×
-76×
+23×
+23×
+53×
═1-1+1
=1.
故答案为:1.
| 1 |
| 23 |
| 1 |
| 53 |
| 1 |
| 53 |
| 1 |
| 76 |
| 1 |
| 23 |
| 1 |
| 76 |
=76×
| 1 |
| 23 |
| 1 |
| 53 |
| 1 |
| 53 |
| 1 |
| 76 |
| 1 |
| 23 |
| 1 |
| 76 |
=76×
| 1 |
| 23 |
| 1 |
| 23 |
| 1 |
| 53 |
| 1 |
| 53 |
| 1 |
| 76 |
| 1 |
| 76 |
═1-1+1
=1.
故答案为:1.
点评:本题是对乘法分配律和加法加法交换律与结合律的应用.
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