Question

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

Answer 1

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Answer 2

Answer:

4/9

Step-by-step explanation:

Let numerator = x

We know that denominator is 2 times x  + 1

Therefore, denominator = 2x +1

So the fraction will be in the from (x)/(2x+1)

So after adding 2 to numerator and subtracting 3 from denominator, we will get 1. To express this algebraically, we can say -

(x+2)/(2x+1-3) = 1

Therefore,

(x+2) = 2x - 2

x = 4.

Therefore substituting 4 into (x)/(2x+1), we get 4/9.

Therefore, original fraction is 4/9.

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