# Fraction Puzzle [closed]

I am a fraction. If you multiply me by two, the sum of me is 54. When you divide my numerator by 4, you get 6. When you divide my denominator by 6, you get 5. What decimal am I?

## closed as off-topic by xnor, Len, Rand al'Thor, Gamow, mdc32Mar 8 '15 at 22:31

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• What is the sum of me? – Elias Benevedes Mar 8 '15 at 0:47
• The numerator is 24 and the denominator is 30, so 24/30... – warspyking Mar 8 '15 at 3:18
• This might be a bit too easy... – CyanogenCX Mar 8 '15 at 4:10

$\frac{24}{30}=\frac{4}{5}$ = 0.8,
I don't know what the 54 bit means though. I guess it could mean that $24+30=54$, but why multiply by 2? The best interpretation I can come up with is:
I am $\frac{24}{30}=\frac{12}{15}$, so multiplying 'me' (both parts of me) by 2 gives $\frac{2\times 12}{2\times 15}=\frac{24}{30}$, whose 'sum' (numerator plus denominator) is $24+30=54$.