Question

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.

Answer 1

3/7 is the answer

Explanation:

Rsm?

Answer 2

9514 1404 393

Answer:

3/7

Explanation:

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

`(2n)/((n+4)+14)=(1-(1)/(3))\cdot(n)/(n+4)\\\\(2n)/(n+18)=(2n)/(3(n+4))\\\\n+18=3n+12\\\\6=2n\\\\n=3`

So, the original fraction is ...

3/7