You can put this solution on YOUR website! Your problem gave you two pieces of information:
rise = 3/2
run = 5
.
The "ratio" they want is rise/run -- so, just plug it the given values:
rise/run = (3/2)/5
multiplying numerator and denominator by 2 we get:
rise/run = 3/10
.
That's all there is to it.