Fraction transformations
Fraction transformations
Secondary 2
6 marks
TGM Original Questions
An improper fraction has numerator \(n\) and denominator \(d\). If \(1\) is subtracted from its numerator and \(1\) is added to its denominator, it becomes \(\frac{3}{2}\). If \(1\) is added to its numerator and its denominator is doubled, it becomes \(1\).
- Form two equations in \(n\) and \(d\).[2]
- Solve the equations obtained in (a) to find \(n\) and \(d\).[3]
- Hence, state the original fraction in its simplest form.[1]
Solution:
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Answer:(a) \(2(n-1)=3(d+1),n+1=2d\) (b) \(n=13,d=7\) (c) \(\dfrac{13}{7}\)
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