If x and y are in the interval (0,π/12) and sin x = 3/5 and cos y = 12/13, evaluate:

sin (x-y)

I started by trying to find the value of x and y and i got 0.645 and 0.394. And I substituted the values in and got 0.2461 etc. But the answer at the back of the book says 16/65. Which is 0.2461 etc however I am supposed to find it in a fraction. How can I do that?

Mrs sue will help you I know it!!!