Question

The denominator of a fraction is 1 more than double the numerator on adding 2 to the numerator and subtracting 3 from the denominator we obtain 1 find the original fraction

Answer 1

Let the numerator be x.
Denominator will be 2x+1.
Now, As per the question,
(x+2)/(2x+1-3) = 1
(x+2)/(2x-2) = 1
x+2 = 2x-2
x= 4.
So, Numerator = 4.
Denominator = 2*4+1 =9.
Original Fraction = 4/9.

Answer 2

Answer:

The denominator of a fraction is one greater than the numerator in the original fraction. We obtain 1 by adding 2 to the numerator and taking away 3 from the denominator, which is equivalent to $\frac{4}{9}$

Step-by-step explanation:

A fraction is one less in the denominator than in the numerator. By adding 2 to the numerator and subtracting 3 from the denominator, we arrive at 1.

Assumption

Using x/y as the starting fraction

Additionally, let y = 2x + 1…….equation (1)

=$\frac{X+2}{Y-3\\}$=1

=Sx+2=y-3

= sy=x+5……equation (2)

With the two equations above combined, we obtain x=4 and y=9.

$\frac{4}{9}$ is the required original fraction.

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