數學奇人即入十點

a/2 = b/3

a/2 x 6 = b/3 x 6

3a = 2b

3a/3 = 2b/3

a = ( 2 / 3 ) b

ａｎｄ

a = ( 0.666... ) b

or ...

a/2 = b/3

a/2 x 6 = b/3 x 6

3a = 2b

3a / 2 = 2b / 2

( 3 / 2 )ａ　＝　ｂ

and

( 1.5 ) a = b



2010-09-02 19:22:05 補充：
Also :

a/2 = b/3

3a = 2b

3a / 3b = 2b / 3b

a / b = 2 / 3

a : b = 2 : 3

That mean :

When a = 2 , b = 3

When a = 246 = 123 x 2 , b = 123 x 3 = 369

3a=2b
a:b=2:3
a=2/3b
b=3/2a