有條數學唔識，幫幫忙！
問題：a=1/2b,b=3/4c
求a:b:c
ps:1/2b代表２分之１b，
3/4c代表４分之３c.
問Maths~急
2006-11-09 1:26 am
回答 (6)
2006-11-09 1:30 am
✔ 最佳答案
a=1/2bb=3/4c
a = 1/2(3/4c)
= 3/8c
所以 a:b:c
= 3/8c:3/4c:c
= 3c:6c:8c
= 3:6:8
2006-11-08 17:31:58 補充：
少少補充：a:b:c= 3/8c:3/4c:c (將所有 a,b,c 換成 c 表示)= 3c:6c:8c (所有 term 皆乘以 8)= 3:6:8
2006-11-09 2:50 am
a = 1/2 b
2a = b
8a = 4b
and
b = 3/4 c
4b = 3c
i.e. a:b:c = 8:4:3
2a = b
8a = 4b
and
b = 3/4 c
4b = 3c
i.e. a:b:c = 8:4:3
2006-11-09 1:39 am
Given: a=1/2b
Step1
a=1/2b
ax2=1/2bx2
2a=b
Given: b=3/4c
Step2
b=3/4c
bx4=3/4cx4
4b=3c
From step 1 ,
2a=b
2ax4=bx4
8a=4b
Therefore
a:b:c = 8:4:3
2006-11-08 19:18:48 補充：
Correction:From step 12a=btherefore a:b = 1:2From step 24b=3ctherefore b:c=3:4Thereforea:b:c = 3:6:8
Step1
a=1/2b
ax2=1/2bx2
2a=b
Given: b=3/4c
Step2
b=3/4c
bx4=3/4cx4
4b=3c
From step 1 ,
2a=b
2ax4=bx4
8a=4b
Therefore
a:b:c = 8:4:3
2006-11-08 19:18:48 補充：
Correction:From step 12a=btherefore a:b = 1:2From step 24b=3ctherefore b:c=3:4Thereforea:b:c = 3:6:8
2006-11-09 1:36 am
a=1/2b
=> 2a=b
=> b=2a
b=3/4c
=> 4/3b=c
=> c=4/3b
substitute c into b, hence
c=4/3*(2a)
=> c=8/3a = 2/2/3 a
therefore, a = a
b = 2a
c = 2/2/3a
2006-11-08 17:38:27 補充：
For RATIOa:b:c1a:2a:2/2/3a=> 1:2:2/2/3=> 3:6:8
=> 2a=b
=> b=2a
b=3/4c
=> 4/3b=c
=> c=4/3b
substitute c into b, hence
c=4/3*(2a)
=> c=8/3a = 2/2/3 a
therefore, a = a
b = 2a
c = 2/2/3a
2006-11-08 17:38:27 補充：
For RATIOa:b:c1a:2a:2/2/3a=> 1:2:2/2/3=> 3:6:8
參考: myself, hope it can help you !!
2006-11-09 1:35 am
a=1/2b
b=3/4c
a = 1/2除(3/4c)
= 4/3c
所以 a:b:c
= a:1/2b:4/3c
= 6:3:8
2006-11-09 09:26:02 補充：
應該是a=1/2b, b=3/4c2a=b, b=3/4c所以:2a=b=3/4ca:b:c=2:1:3/4 =8:4:3
b=3/4c
a = 1/2除(3/4c)
= 4/3c
所以 a:b:c
= a:1/2b:4/3c
= 6:3:8
2006-11-09 09:26:02 補充：
應該是a=1/2b, b=3/4c2a=b, b=3/4c所以:2a=b=3/4ca:b:c=2:1:3/4 =8:4:3
2006-11-09 1:33 am
a:b:c = 3 : 6 : 8
收錄日期: 2021-04-12 22:33:04
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20061108000051KK02388