數學既問題！AGAIN

將循環小數化為分數，可有兩種方法計，如下

方法一：
設x = 3.3 (上面加一點，代表循環小數)
即x = 3.333... .....(1)
10x = 33.333... ....(2) ←將方程(1)乘10
(2)﹣(1)：
10x﹣9x = 33.333﹣3.333
9x = 30
x = 30 / 9
x = 10/3
∴3.333... = 10/3

方法二：
設x = 3.333... (上面加一點，代表循環小數)
即10x = 33.333... ←將x = 3.333... 乘10
10x = 30+3.333...
10x = 30+x
10x﹣x = 30
9x = 30
x = 30/9
x = 10/3
∴3.333... = 10/3

∴mixed number (帶分數) = 10/3 = 3/1/3 (三又三分之一)

3 1/3 this is the mixed number

3.333.....
=3 + 0.333...
=3 + 1/3
= 3 1/3

use 3.33