OnionKnight OnionKnight

24-01-2017
Mathematics

Answered

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

Verified Answer :

LammettHash LammettHash

24-01-2017

\(\dfrac ab=\dfrac pq\implies b=\dfrac{aq}p\)

Substituting into the second expression,

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

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