arithmetic

Question

Given that a:b = 2:5 and b:c = 15:19. calculate the ratio a:c

Answer 1

When we have a ratio, we are actually dividing.

 

a:b = a/b = 2/5

 

b:c = b/c = 15/19

 

a:c = a/c = ?

 

 

We need to get a/c.  Lets manipulate the given the ratios to obtain it.

 

(a/b) * (b/c) =

 

b cancels and we end up with a/c.  Multiplying the given ratios will work for this.

 

(2/5) * (15/19) =

 

3(2/19) =

 

6/19

 

a:c = 6:19