Question

What is the ratio of a to b?
8/15=4a/a+b

Answer 1

Do you mean \(\dfrac{8}{15} = \dfrac{4a}{a+b}\)? That is NOT what you have written, but it may be what you intended. Please confirm.

Answer 2

8/15=4a/a+b

8(a+b) = 4a (15)

8a+8b = 60a

transpose

Answer 3

yes that what i confirm

Answer 4

You can solve for a different ways. I think the easiest is to try to find a by using the numerator first, so 4a = 8, divide both sides by 4, a = 2, now that we now a = 2 we can solve the denominator for b
2 + b = 15, subtract both sides by 2, b = 13
Now that you know a = 2 and b = 13 you can make the ratio of a to b
2:13