after being lazy for a long time and being away from any fraction and equations, I am confused with a seriously ridiculous math problem, and I want to confirm my answer:
the equation is pretty simple as I followed some formula and having something like this:
$\frac{100}{100+2}=?$ is this the right answer?
Or did I just failed in my exam?
By the way, I know its probably the simplest and the dumbest question ever, so if that's what you think forgive me.
Simplifying fractions involves only multiplication, not summation. For example, if you have a fraction $$ \frac{100}{102} $$ and you need to simplify it, you multiply both the enumerator and denominator with the same number (Why the same number? because their ratio is exactly 1, and multiplying by 1 doesn't change the value of a number). In this case, we can multiply both by $1/2$: $$ \frac{100}{102} \times \frac{1/2}{1/2} = \frac{(100/2)}{(102/2)} = \frac{50}{51} $$ This is as far as we can simplify this fraction (Why? Because $50= 2\times 5^2$ and $51= 3\times 17$, and we see that they don't have any common factors).
This is all that you can do to a fraction. Don't cancel summed terms in a fraction.