A fraction F becomes \(\frac{1}{2}\) when the denominator is increased by 4 and becomes \(\frac{1}{3}\) when its numerator is decreased by 5. Then F equals to:

1
\(\frac{12}{19}\)
2
\(\frac{11}{19}\)
3
\(\frac{11}{18}\)
4
\(\frac{13}{21}\)

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