The denominator of a fraction is 2 more than the numerator. if 1 is added to both the fraction reduces to 4\5. find the fraction.

Poooo

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So, lets call this numerator n.

If written into a fraction, it wold look something like this.

n/n+2

You add one to both

n+1/n+3

You should be able to solve from here

Cheers.
Jeanne

To solve this problem, let's assume the numerator of the fraction is "x."

According to the given information, the denominator of the fraction is 2 more than the numerator. Therefore, the denominator can be represented as "x + 2."

The original fraction can be written as x / (x + 2).

Now, if 1 is added to both the numerator and denominator, the new fraction is (x + 1) / (x + 2 + 1), which simplifies to (x + 1) / (x + 3).

The problem states that this new fraction is equal to 4/5, so we can create the equation:

(x + 1) / (x + 3) = 4/5.

To solve this equation for "x," we can cross-multiply:

5(x + 1) = 4(x + 3).

Expanding this equation gives us:

5x + 5 = 4x + 12.

Subtracting 4x from both sides gives:

x + 5 = 12.

Subtracting 5 from both sides gives:

x = 7.

So, the numerator of the fraction is 7, and the denominator is 2 more than the numerator, which is 7 + 2 = 9.

Therefore, the fraction is 7/9.