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The numerator of a fraction that is written in simplest form is 4 less than the denominator. If you multiply the numerator by 2 and increase the denominator by 14, the new fraction is less than the original fraction by 1/3 of it.

Respuesta :

sqdancefan

9514 1404 393

Answer:

  3/7

Step-by-step explanation:

Let n represent the numerator of the original fraction. Then its denominator is n+4. The new fraction is ...

  [tex]\dfrac{2n}{(n+4)+14}=(1-\dfrac{1}{3})\cdot\dfrac{n}{n+4}\\\\\dfrac{2n}{n+18}=\dfrac{2n}{3(n+4)}\\\\n+18=3n+12\\\\6=2n\\\\n=3[/tex]

So, the original fraction is ...

  3/7

Ruilin0715

Answer:

3/7 is the answer

Step-by-step explanation:

Rsm?

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