最佳回答取20分:已知a:b:c=6:8:9…

由於a:b:c=6:8:9

假設a係6.......
禁b就係8，c就係9.....
好易明.......

轉做分數.....

1/a = 1/6

1/b = 1/8

1/c = 1/9

通分母 (72)

1/a = 1/6 = 12/72

1/b = 1/8 = 9/72

1/c = 1/9 = 8/72

所以.....答案就係：

1/a：1/b：1/c = 12：9：8

a:b:c =6:8:9
所以 a:b=6:8=3:4
4a=3b
然後 a=(3b)/4

b:c=8:9
9b=8c
所以 c=(9b)/8

1/a=1/[(3b)/4]
=4/(3b)

1/a: 1/b = 4/(3b) ÷ 1/b
= 4/(3b) x b
=4/3 =4:3

1/c = 1/[(9b)/8]
=8/(9b)

1/b :1/c = 1/b ÷ 8/(9b)
= 1/b x (9b/8)
=9/8
= 9:8

然後
1/a : 1/b :1/c
= 12:9:8

唔知咁樣你睇唔睇得明呢?
希望可以幫到你=]

1/a:1/b:1/c=1/6:1/8:1/9
because6*8*9=432
so 432*(1/6:1/8:1/9)=72:54:48=12:9:8
so1/a:1/b:1/c=12:9:8

a:b:c=6:8:9
a/b=6/8=3/4
1/a:1/b=1/a*b=b/a=b:a=4:3
b/c=8/9
1/b:1/c=1/b*c=c/b=c:b=9:8
1/a:1/b=4:3=12:9
1/a:1/b:1/c=12:9:8

a:b:c=6:8:9

求1/a:1/b:1/c

1/a:1/b=b/a=8:6
1/b:1/c=c/b=9:8

1/a:1/b:1/c=24:18:16
=12:9:8