The numerator of a fraction that is written in simplest form is 4 less than the denominator. If you multiply the numerator by 2

Question

2 years ago

5

and increase the denominator by 14, the new fraction is less than the original fraction by 1/3 of it.

2 answers:

PIT_PIT [208] · Answer 1 · 2022-05-19T20:34:01+03:00

8 0

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 ...

$\dfrac{2n}{(n+4)+14}=(1-\dfrac{1}{3})\cdot\dfrac{n}{n+4}\\\\\dfrac{2n}{n+18}=\dfrac{2n}{3(n+4)}\\\\n+18=3n+12\\\\6=2n\\\\n=3$

So, the original fraction is ...

3/7

Molodets [167] · Answer 2 · 2022-05-19T21:50:06+03:00

Molodets [167]2 years ago

8 0

Answer:

3/7 is the answer

Step-by-step explanation:

Rsm?