Ratio+Understanding

Why does 1/2 + 1/3 NOT equal 1/5? 1/2 +1/3 doesn't equal 1/5 because you add the numerator, but you don't add the denominator. To get the correct answer you turn 1/2 into 6/12 and 1/3 into 4/12,then you add 6+4 and get 10,then put the denominator on(12),and that is 10\12, then you simplify that and get 5/6.