a:b is equal to 3:5 and 4b is equal to 9c.How do you work out a to c in its simplest form?Thanks?

answers:
Krishnamurthy say: a : b = 3 : 5 = 12 : 20
5a = 3b or 12b = 20a
4b = 9c or 12b = 27c
20a = 27c
a : c = 27 : 20

Como say: a : b = 3 : 5
a/b = 3/5
5a = 3b
4 b = 9c
b = (9/4) c
(5/3) a = (9/4) c
20 a = 27 c
a/c = 27/20

Brainard say: a/b = 3/5
5a = 3b ..............(1)
4b = 9c
b = 9c/4 .............(2)
Substitute for b, in (1)
5a = 3(9c/4)
5a = 27c/4
a/c = 27/20
a : c = 27 : 20

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Captain Matticus, LandPiratesInc say: a/b = 3/5
5a = 3b
4b = 9c
5a = 3b
4 * 5a = 4 * 3b
20a = 12b
4b = 9c
3 * 4b = 3 * 9c
12b = 27c
20a = 12b
27c = 12b
20a = 27c
a/c = 27/20
a:c = 27:20

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