Point p partitions the directed segment from a to b in the ratio of 2 to 3. ap is what percent of ab?

AP is 40 % of AB.

Step-by-step explanation:

Given: Point P divides Line Segment AB in Ratio 2 : 3.

To find: AP % of AB

Since, P divide in 2 : 3

⇒ AP : PB = 2 : 3

Total of AP & PB is AB

Total Part of 2 : 3 = 2 + 3 = 5

So, 2 represent AP length

     3 represent PB length

     5  Represent AB length

Percentage for AP of AB =

                                         =  

                                         =  40 %

Therefore, AP is 40 % of AB.