OnionKnight OnionKnight

24-01-2017
Mathematics

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

A) (p + b )/q
B) (p + p)/q
C) (p + q)/q
D) (p + a)/q

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LammettHash LammettHash

24-01-2017

[tex]\dfrac ab=\dfrac pq\implies b=\dfrac{aq}p[/tex]

Substituting into the second expression,

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

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