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Answer:

\(\dfrac{a+b}{b}=\dfrac{p+q}{q}\)

Step-by-step explanation:

The given equation is,

\(\Rightarrow \dfrac{a}{b}=\dfrac{p}{q}\)

Adding 1 in both sides,

\(\Rightarrow \dfrac{a}{b}+1=\dfrac{p}{q}+1\)

\(\Rightarrow \dfrac{a+b}{b}=\dfrac{p+q}{q}\)

This rule is also known as Componendo property of fractions.

Therefore,

\(\dfrac{a+b}{b}=\dfrac{p+q}{q}\)