这样的分数是“最简分数”?(上)

2013/12/6 4:45:06

怎样“一眼”判断 最简分数?(上)最简分数

什么叫最简分数?即:分子和分母只有公因数1的分数。

有几类最简分数,是可以一眼就断定它是最简分数的。总结如下:

                                                                                                        2          5       121        99

(1)分子和分母是相邻的两个自然数(0除外),那它一定是一个最简分数。如:-----    -----    -----      -----  ......

                                                                                                        3          6       122        100

 

                                                                      1          1         1           1

(2)分子是1的分数,那它一定是一个最简分数。如:-----    -----     -----     ---- ......                           

                                                                      2          8         15         28

 

                                                                                      2         3          5           7  

 (3)分子和分母是两个不同质数,那它一定是一个最简分数。如:-----    -----     -----     ---- ......                           

                                                                                      11       13         17        19

 

                                                                                                         4         8         17         9

(4)没有规律的一类,但分子分母只有公因数1 ,那它一定是一个最简分数。如:-----    -----     -----     ---- ......   

                                                                                                        7        21          33         17