Question

If a:b=1:3 and b:c=5:8 what's a:c

need steps pls​

Answer 1

a : c = 5 : 24

Explanation:

`a : b = 1 : 3\\\\(a)/(b) = (1)/(3) \ => b = 3a\\\\b : c = 5 : 8 \\\\ (b)/(c) = (5)/(8) \ => \ (3a)/(c) = (5)/(8)`
`[substituting \ b = 3a ]`

`(a)/(c) = (5)/(24)`

`=> a : c = 5 : 24`

Answer 2

a:c=1:8

Explanation:

a:b=1:3

therefore a=1 and b=3

b:c=5:8

therefore b=5 and c=8

then,

a:c=1:8