Question

Given that a/b=3/7 and b/c=2/5 find a:b:c Give your answer in its simplest form.​

Answer 1

a:b:c=5:2:7

Explanation:

1. a/b=3/7

=> 7a=3b

=> 7a x 5 = 3b x 5

=> 35a = 15b

2. b/c = 2/5

=> 5b = 2c

=> 5b x 3 = 2c x 3

=> 15b = 6c

So we have 35a=15b=6c

=> a/15 = b/6=c/35

=> a:b:c = 15:6:35 = 5:2:7

Not sure but I hope it will help you:)

Have a nice day^^

Answer 2

Explanation:

If P: Q = a:b & Q:R = m :n,

then P : Q : R = am : bm : bn

a: b = 3 : 7 ; b :c = 2:5

a:b :c = 3*2 : 7*2 : 7*5 = 6 : 14 : 35