This is a false statement. An example would be 1/3 plus 3/4; the sum of wich is 13/12 or 1 1/12.
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Numerators
No, the denominators have to be the same.
If you are suggesting they add up to less than 180, this is impossible. If you are suggesting that each angle is less than 180, this is always the case.
It is easier to multiply or divide fractions than to add or subtract fractions because in multiplication, you just have to multiply the numerator by the numerator and the denominator by the denominator. Same applies with division of fractions, except that you have to reciprocate the fraction you're dividing with (divisor) then proceed to multiplication. Whereas, in addition and subtraction of fractions, you still have to get their Least Common Denominator (LCD).
In fractions, you can NEVER add or subtract