7/13+7/13×25的简便方法

1、第一步，首先观察一下表达式，7/13+7/13×25，前面和后面有共同项7/13

7/13 + 7/13 x 25

= 7/13 x 1 + 7/13 x 25

2、第二步，提取同类项7/13

7/13 + 7/13 x 25

= 7/13 x 1 + 7/13 x 25

= 7/13 x (1 + 25)

3、第三步，计算两个数的和

7/13 + 7/13 x 25

= 7/13 x 1 + 7/13 x 25

= 7/13 x (1 + 25)

= 7/13 x 26

4、第四步，由于13和26有公共的约数13，可以将分母简化

7/13 + 7/13 x 25

= 7/13 x 1 + 7/13 x 25

= 7/13 x (1 + 25)

= 7/13 x 26

= 7 x 2

5、第五步，计算两个数的乘积

7/13 + 7/13 x 25

= 7/13 x 1 + 7/13 x 25

= 7/13 x (1 + 25)

= 7/13 x 26

= 7 x 2

= 14

6、总结：

A + A x B

= A x 1 + A x B

= A x (1 + B)

= A x C

= D