Question

The numerator of a

fraction is 1 more than

twice its denominator. If 4

is added to both the

numerator and the

denominator, the fraction

pos

inve

reduces to 3. Find the

denominator.

Answer 1

-7

Explanation:

The numerator of a fraction is 1 more than twice its denominator.

Let the denominator=x

Therefore, the numerator=2x+1

The fraction is:
`(2x+1)/(x)`

If 4 is added to both the numerator and the denominator, the fraction reduces to 3.

Therefore:

`(2x+1+4)/(x+4) =3`

First, we solve for x

`(2x+5)/(x+4) =3`

Cross multiply

2x+5=3(x+4)

Open the bracket on the right-hand side

2x+5=3x+12

Collect like terms

3x-2x=5-12

x=-7

Therefore, the denominator of the fraction, x=-7