Nested complex fractions

Nested complex fractions

Secondary 2
3 marks
TGM Original Questions

Core stretch

Simplify \(\dfrac{\dfrac1q+p}{\dfrac1{2p}+\dfrac4q}\). State the restrictions on the original expression.[3]

Solution:

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Answer:\(\dfrac{2 p \left(p q + 1\right)}{8 p + q}\) where \(q\ne0,\ 8 p + q\ne0,\ p\ne0\)

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