(1/15－1/51)×17×5的简便算法

来源：学生作业帮助网编辑：作业帮时间：2024/11/16 14:41:21

(1/15－1/51)×17×5的简便算法
(1/15－1/51)×17×5的简便算法

(1/15－1/51)×17×5的简便算法
15 = 3 * 5
51 = 3 * 17
1/15 = 1/(3 * 5)
1/51 = 1/(3 * 17)
原式 = [1/(3*5) - 1/(3*17)] * 17 * 5 = (17*5)/(3*5) - (17*5)/(3*17) = 17/3 - 5/3 = 12/3 = 4