關於比例既Maths題目 (10點)

1/a : 1/b : 1/c = 2:1:3

1/a : 1/b = 2:1
(1/a)/(1/b) = 2/1
b/a = 2
b = 2a
a:b = 1:2

1/b : 1/c = 1:3
(1/b)/(1/c) = 1/3
c/b = 1/3
b = 3c
b:c = 3:1

So a:b:c = 3:6:2

a : b : c
= 1/2 : 1 : 1/3
= (1/2)x6 : 1x6 : (1/3)x6
= 3 : 6 : 2