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Answer:

[tex]\dfrac{a+b}{b}=\dfrac{p+q}{q}[/tex]

Step-by-step explanation:

The given equation is,

[tex]\Rightarrow \dfrac{a}{b}=\dfrac{p}{q}[/tex]

Adding 1 in both sides,

[tex]\Rightarrow \dfrac{a}{b}+1=\dfrac{p}{q}+1[/tex]

[tex]\Rightarrow \dfrac{a+b}{b}=\dfrac{p+q}{q}[/tex]

This rule is also known as Componendo property of fractions.

Therefore,

[tex]\dfrac{a+b}{b}=\dfrac{p+q}{q}[/tex]


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