if 3a = 5b, what is a:b?

divide both sides by 3b

3a/3b = 5b/3b
simplify
a/b = 5/3

Thanks

To find the ratio of a to b in the equation 3a = 5b, we need to solve for both a and b.

Given that 3a = 5b, we can isolate a by dividing both sides of the equation by 3:

3a/3 = 5b/3
a = (5/3)b

Now, we have an expression for a in terms of b. To find the ratio a:b, we can substitute the value of a into the ratio expression:

a:b = (5/3)b : b

Simplifying this expression, we get:

a:b = 5/3 : 1

Therefore, the ratio a:b is 5:3.