Question

If a /b = p /q, then (a + b )/b = _______.

Answer 1

$\dfrac ab=\dfrac pq\implies b=\dfrac{aq}p$

Substituting into the second expression,

$\dfrac{a+b}b=\dfrac{a+\dfrac{aq}p}{\dfrac{aq}p}=\dfrac{ap+aq}{aq}=\dfrac{p+q}q$