Question

5/12×6/13+5/13×7/12

Answer 1

题目:
计算5/12×6/13+5/13×7/12。
解析:
这是一道小学分数计算题。观察发现，前后两个加数都是通过1/12×1/13构成，可以以此为突破口，寻找简便的计算方法。
解答:
5/12×6/13+5/13×7/12
=（5×6）×1/12×1/13
+（5×7）×1/13×1/12
=30×1/12×1/13
+35×1/13×1/12
=（30+35）×1/13×1/12
=65×1/13×1/12
=（65×1/13）×1/12
=5×1/12
=5/12

方法二:
5/12×6/13+5/13×7/12
=5/12×6/13+5×1/13×7×1/12
=5/12×6/13+（5×1/12）×（7×1/13）
=5/12×6/13+5/12×7/13
=5/12×（6/13+7/13）
=5/12×1
=5/12

两种方法结果一致，说明5/12就是原式的正确答案。同时，比较发现方法二较为简便，是最适合本题的计算方法。

Answer 2

可以按四则混合运算的顺序进行计算:
5/12×6/13+5/13×7/12
=5×6/(12×13)+5×7/(13×12)
=30/156+35/156
=65/156
=5/12
也可以运用乘法运算定律，改变运算顺序进行计算:
5/12×6/13+5/13×7/12
=5/12×6/13+5/12×7/13
=5/12×(6/13+7/13)
=5/12×1
=5/12

Answer 3

加号两端的分数，两两分别相同，分子也有一个是相同的，这时先交换分子，使原式加号两边出现一个相同的分数，然后再利用乘法分配律简算。
解:5/12×6/13+5/13×7/12
=5/12×6/13+7/13×5/12
=5/12×（6/13+7/13）
=5/12×1
=5/12

Answer 4

=5/12x（6/13+7/13）

=5/12x1

=5/12

Answer 5

解：5/12×6/13+5/13×7/12
=5/13×6/12+5/13×7/12
=5/13×(6/12+7/12)
=5/13×13/12
=5/12