book Maths Puzzle Numerical Ability

I am having trouble with a question, Add the fractions

q
--------
q^2+5q+6

and

1
--------
q^2+3q+2

I think the answer is

q^2+2q+3
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book Other Question

The rate r at which a disease spreads in a population of size P is jointly proportional to the number x of infected people and the number P-X who are not infected. An infection er Could you show me how to slove this problem:
(2/7)x = 14